What I know A. Before the start of the lesson proper, answer first the questions below. Read the it carefully and write the letter of the best answer in your notebook. 1. It is a process in making decisions in evaluating claims about a population. A. Null hypothesis C. Test statistic B. Alternative hypothesis D. Hypothesis testing 2. It is tested by a statistical test. A. Null hypothesis C. Test statistic B. Alternative hypothesis D. Hypothesis testing 3. It is chosen when the parameter is larger than or smaller than the value of the null hypothesis. A. two-sided test C. Parametric test B. one-sided test D. Non-parametric test 4. This assumes that there is change, difference, relationship, or the independent variable has an effect on the dependent variable. A. Null hypothesis C. Test statistic B. Alternative hypothesis D. Hypothesis testing 5. This assumes that there is no change, no difference, no relationship, or the independent variable has no effect on the dependent variable. A. Null hypothesis C. Test statistic B. Alternative hypothesis D. Hypothesis testing 6. Null and alternative hypotheses are statements about: A. population parameters. C. sample parameters. B. sample statistics. D. it depends - sometimes population parameters and sometimes sample statistics. B. In your notebook, write nine examples of hypothesis.WHAT IS IT ACTIVITY 1 A. Read and understand the given statements below and find out whether it is a null hypothesis. In your notebook, write Hg if the given is a null hypothesis. Otherwise, just leave it blank. In 2015, it was recorded that around 34% of the population in 2015 were not married. A researcher surveyed a random sample of 500 couples. He found out that 13% of them were living together but unmarried. Test at 5% significance level if the current percentage of unmarried couples is different from 34%. 1. The current percentage of unmarried couples is different from 34%. 2. The current percentage of unmarried couples is 34%. An average construction worker hourly rate pay in the Philippines is Php 52.50 with a standard deviation of Php 6.01. A random sample of 20 manufacturing workers were asked on their hourly rate and found that they had an average of Php 50 hourly rate pay with a standard deviation of Php 5.00. Construct a 90% confidence interval for the difference between the average hourly rate for construction workers and the average hourly rate for manufacturing workers. 3. There is a significant difference between the average hourly rate for construction workers and the average hourly rate for manufacturing workers. 4. There is no significant difference between the average hourly rate for construction workers and the average hourly rate for manufacturing workers. A chemist invented an additive to increase the lifespan of rechargeable battery. The said additive will extend on average the battery's lifespan to 43 months. 5. The average lifespan extension of rechargeable battery is 43 months. 5. The average lifespan extension of rechargeable battery is not 43 months El. Comprehension check Questions: write the letter of the best answer among the choices below in your notebook. 1 They worked in producing goods. A. Construction B. Manufacturing C. Chemist D. Investors ZThey worked with the composition, structure, and properties of substances and with the transformations that they undergo A. Construction B. Manufacturing C. Chemist D. Investors 3. It is square root of variance. A. Confidence Intenral B. standard deviation C. Range D. Mean 4. It isthe sum of values divided by the nmber of values being summed. A. Confidence Interval B. standard deviation C. Range D. Mean 5. It is a range of numbers containing possible values for the population parameter. A. Confidence Interval B. standard deviation C. Range D. Mean C. Read and understand the statement below. In your notebook, write the mathematical symbol of the null hypothesis of the following statements. l' The average number of years to finish basic education is 14 years. 2. At least 40% of private school students transferred to public school during the CDVID 19 pandemic. 3. The mean weekly expenses of a family during the COVID 19 pandemic increased at most by 15%. 4. Thirty-five percent of senior high school students enrolled to a track! strand because of peer pressure. 5. During the COVID 19 pandemic, 3% of COVID 19 cases in the country were confirmed death cases. The mean number of new normal learning facilities a school have is not more than five. . During the CDVID 19 pandemic, more than half of the residents in cities decided to stay in their remote provinces. 3. Forty-five percent of the students attended on line learning delivery mode. 9. At most, 55% of the public-school teachers were advised to stay at home during the opening of classes. 10.At least 70% of the public school used blended learning delivery mode. "19' w WHAT IS IT? ACTIVITY 2 A. Read and understand the given statements below. In your notebook, write H1 if the given statement in every number is an alternative hypothesis. Otherwise, just leave it blank. In 2015, it was recorded that around 34% of the population in 2015 were not married. A researcher surveyed a random sample of 500 couples. He found that 13% of them were living together but unmarried. Test at 5% significance level if the current percentage of unmarried couples is different from 34%. 1. The current percentage of unmarried couples is different from 34%. 2. The current percentage of unmarried couples is 34%. An average construction worker hourly rate pay in the Philippines is Php 52.50 with a standard deviation of Php 5.01. A random sample of 20 manufacturing workers were asked on their hourly rate and found that they had an average of Php 50 hourly rate pay with a standard deviation of Php 5.00. Construct a 90% confidence interval for the difference between the average hourly rate for construction workers and the average hourly rate for manufacturing workers. 3. There is a significant difference between the average hourly rate for construction workers and the average hourly rate for manufacturing workers. 4. There is no significant difference between the average hourly rate for construction writers and the average hourly rate for manufacturing workers. A chemist invented an additive to increase the lifespan of rechargeable battery. The said additive will extend on average the battery's lifespan to 43 months. 5. The average lifespan extension of rechargeable battery is not 43 months. 5. The average lifespan extension of rechargeable battery is 43 months. B. Read and understand the statements below. In your notebook, write the mathematical symbol of the alternative hypothesis of the given statement. 1. The average number of years to finish basic education is not 14 years. 2. At least 40% of private students transferred to public schools during the COVID 19 pandemic. 3. The mean expenses of a family during the COVID 19 pandemic increased at most by 15%. 4 . Thirty-five percent of senior high school students enrolled to a tracklr strand because of peer pressure. 5. During the CDVID 19 pandemic, 3% of CDVID 19 cases in the country were confirmed death cases. 3: 5. The mean number of new normal learning facilities a school has is not more than five. 1'. During the CDVID 19 pandemic, more than half of the residents in cities decided to stay in their remote provinces. 3. Forty-five percent of the students attended online learning delivery mode. 9. At most, 55% of the public-school teachers were advised to stay at home during the opening of classes. 10.At least ?0% of the public schools used blended learning delivery mode. WHAT IS IT? ACTIVITY 3 {I A. Read and understand the given statements below. Determine the value of c or 3 based on the alternative hypothesis in decimal form. write your answer in mathematical symbol in your notebook. 1. In 2015, it was recorded that around 34% of the population in Hill? were not married. A researcher surveyed a random sample of too couples. He found out that 13% of them were living together but unmarried. Test at 5% significance level that the current percentage of unmarried couples is different from 34%. 2. An average construction worker hourly rate pay in the Philippines is Php 53.50 with a standard deviation of Php 5.131. A random sample of 20 manufacturing workers were asked on their hourly rate and found out that they had an average of Php 5D hourly rate pay with a standard deviation of Php 5.12143. Construct a 30% confidence interval that the average hourly rate for construction workers is higher than the average hourly rate for manufacturing workers. 1A chemist invented an additive to increase the lifespan of rechargeable battery. The said additive will extend on average the battery's lifespan to 43 months. Test the hypothesis at 1101 level of significance that the average lifespan is higher than 43 months. 4. The average number of years to finish basic education is 14. A sample of 31:! senior high school students were asked and found out that the mean number of years to finish their basic education is 13 with a standard deviation of 2 years. Test the hypothesis at 33% confidence interval that the average number of years to finish basic education is less than 14 years. 5. A sample of 1130 private school students were surveyed whether they planned to transfer to public school in the incoming school year. Results showed that 40% of these students will transfer to public school. Test the average number of private school students that will transfer to public school is not 410% at 5% level of significance. WHAT IS IT? ACTIVITY 4 A. Complete the sentence below by providing the correct wordl's on the blank. write your answers in your notebook. 1. In non-directional test, the acceptance region lies the two critical regions. 2. The acceptance region for the right-tailed test [one-tailed test] is in the side of the critical region. 3. There are at most possible critical reg ions in a hypothesis testing. 4. when the test statistic is located within the critical region, then H\" is 5. There are at most possible critical vaiuel's in a hypothesis testing. El. Read and understand the given statements below. Determine the position of the rejection region either left sideI right sideI or between the acceptance region. write your answer on the blank after the given. 1. In EDIE, it was recorded that around 34% of the population in EDIE were not married. a researcher surveyed a random sample of too couples. He found out that 18% of them were living together but unmarried. Test at 5% significance level that the current percentage of unmarried couples is different from 34%. 2. An average construction worker houy rate pay in the Philippines is Php 52.50 with a standard deviation of Php 5.131. A random sample of 2D manufacturing workers were asked on their hourly rate and found out that they had an average of Php 5D hourly rate pay with a standard deviation of Php 5.00. Construct a amt: confidence interval that the average hourly rate for construction workers is higher than the average hourly rate for manufacturing workers. 1A chemist invented an additive to increase the lifespan of rechargeable battery. The said additive will extend on average the battery's lifespan to 48 months. Test the hypothesis at D.D1% level of significance that the average lifespan is higher than 48 months. 4. The average number of years to finish basic education is 14. A sample of 3D senior high school students were asked and found out that the mean number of years to finish their basic education is 12 with a standard deviation of 2 years. Test the hypothesis at 93% confidence interval that the average number of years to finish basic education is less than 14 years. 5.14 sample of 100 private school students were surveyed whether they planned to transfer to public schools in the incoming school year. Results showed that 4% of these students will transfer to public schools. Test the average number of private school students that will transfer to public schools is not 40% at 5% level of significance. WHAT IS IT ACTIVITY 5 A. Read and understand the statements below carefully. Write the letter of the best answer among the given choices below in your notebook. 1. How many types of errors can be made when testing hypothesis? A. one El. two (3. three D. four 2. A criminal was sentenced guilty of a crime he was framed up. What sort of an error did the judge make, and why? A. Type II, because their sets of evidence are true when it's actually false. E. Type II, because their sets of evidence are false when it's actually true. C. Type I, because their sets of evidence are false when it's actually true. D. Type I, because their sets of evidence are true when it's actually false. 3. When is a type II error made? A When your findings show that the null hypothesis is false when it is false. B. When your findings show that the null hypothesis is true when it is true. C. When your findings show that the null hypothesis is true when it actually is false. D. When your findings show that the null hypothesis is false when it actually is true. 4. What is the probability of making a type I error? A. GLUE B. Dl C. c D. I] 5. It is the probability of making a type II error. A. 0.05 B. 0.131 C. or D. :3 El. Given a hypothesis. Formulate tym I and Il errors in a complete sentence of the given statements below. write your answers in your notebook. 1. The average number of years to finish basic education is 14. 1A1 least 40% of private school students transferred to public schools during the CDVID 19 pandemic. 3. The mean expenses of a family during the CDVID 19 pandemic increased at most by 15%. 4. Thirty-five percent of senior high school students enrolled to a tracklr strand because of peer pressure. 5. During the CDVID 19 pandemic, 3% of CD'U'ID 19 cases in the country were confirmed death cases. ASSESSMENT You are now done with the first lesson of this module. To find out if you have learned from this lesson, answer the questions below. identify what is described in every number. write your answers in your notebook. It is the inequality in the alternative hypothesis when the keyword at most is used. It is the inequality in the alternative hypothesis when the keyword at least is used. It is done to the level of significance when not equal is used in alternative hypothesis. It is an intelligent guess about the characteristics of a population. It is a numerical value computed from the all the data of the population. It is the center of the normal curve. It is the value of or when the confidence level is 92%. . The decision made to the null hypothesis when the critical value lies in the critical region. . The decision made to the null hypothesis when the critical value lies in the confidence region. 1D.The probability of committing type II error is f] and or is the probability of committing type Ierror. 1I.I'I."rite 3 in terms of o . WWHP'FFP-WWH