Choose the correct answer
1. A certain telephone company with a target of 5,000 items found that 300 out of the 500 items they randomly chose and tested failed to meet the quality control guidelines. The company would like to test if more than 25% of the target might be out of assurance. What is the appropriate alternative hypothesis at o = 0.05 level? A. Ha: p 0.25 D. Ha: p s 0.25 2. In problem no. 1, what is the correct null hypothesis? A. Ha: p 0.25 D. Ha: p s 0.25 3. A survey conducted last year by the barangay health workers showed that 20% of the students smoked. This year, a new survey is conducted on 150 students selected randomly from the same school. It was found I out that 35 of them smoke. Test if the claim has decreased at o = 0.01 level. Formulate the correct alternative hypothesis. A. Ha: p 5' 0.20 C. Ha: p = 0.20 B. H5313 .10 Which of the following statements is incorrect about alternative hypothesis on a population proportion? A. It is represented by Ha. B. It is used as a basis to determine the location of the p-value. C. It is the competing claim that the parameter is equal to a specic value. D. It is a claim that the proportion is less than, greater than, or not equal to the hypothesized proportion pa. What is the use of the value of p in formulating the null hypotheses on a population proportion? A. It is the value only used for one-tailed test. B. It is the basis for the computation of z-test. C. It is the same as the hypothesized proportion. D. It is a probability that tells if the null hypothesis is true. 3 Which of the following null and alternative hypothesis are correctly written in symbols? A. H011] = .10 C. Ho: p .40 Ha: p > .50 Complete the following statements. 1. Formulating the appropriate null hypothesis on a given population proportion in symbols is written as 2. To formulate alternative hypothesis concerning population proportion, there are three possible alternative hypotheses and they are based on the wording of the question instructing you what to hypothesize. a. A problem with the expressions \"smaller\13. 14. 15. Before the Mayweather vs. Pacquiao's Fight of the Century, 75% of people in Manila said that they prefer boxing over basketball. After the ght, out of 1 50 randomly chosen people in Manila, 105 said they prefer boxing over basketball. Which statement represents the probability of failure, :1? A. They prefer boxing over basketball. B. They prefer basketball over boxing. (3. They don't prefer boxing over basketball. D. They don't prefer both boxing and basketball. In problem no. 13, what is the value of the sample proportion, 13? A. 0.60 B. 0.67 C. 0.70 D. 0.75 In a learning study, 1,200 respondents were asked if they can assimilate concepts while watching television wherein 586 said YES. What is the proportion of those who said yes? A. 0.40 B. 0.49 C. 0.51 D. 0.58 1. It is a part of the population with a particular trait expressed in decimal, percent, or fraction. A. Sample C. Sample Proportion B. Population D. Population Proportion 2. It is the symbol used to represent the proportion of the samples. A. x B. p C. p D. n 3. What is the sample proportion if n = 550 and x = 308? A. 0.35 B. 0.50 C. 0.56 D. 0.65 4. A researcher claims that 4% of all helmets have manufacturing aws that could potentially cause injury to a motorcycle wearer. A sample of 100 helmets revealed that 5 contain such defects. Is the sample large enough to use the Central Limit Theorem? A. No, because 5/100 55 C. Yes, because 100330 B. No, because 100(0.04}55 D. Yes, because 100{0.96]35 5. In testing hypothesis involving population proportion, when do we say that the sample size [n] is sufciently large? A. ifn330 B. ifn5 and nq>5 are both satised. III.The sample size must be greater than or equal to 30. A. I and II B. I and III C. II and 111 D. [II only 10. What would be the population in this situation? Surveyors in a mall choose shoppers to ask about products they prefer. A. the surveyors C. all shoppers in the mall B. the products they sell D. the shoppers who were asked about their preferences 11. In testing hypothesis involving population proportion, which of the following is appropriate to use? A. t-test B. z-test C. p-test D. chi square 12. Ifthe value ofp is 0.45, what is the value of q? A. 0.45 B. 0.46 C. 0.54 D. 0.55 Directions: Copy and complete the statements below. l. 001 0?\" 10. A part of the population with a particular attribute or trait expressed as a fraction, decimal, or percentage of the whole population is known as of which in symbol is . A part of the sample or the proportion of individuals in a sample sharing a certain trait is known as and is written in symbol as . To be able to nd 13, divide the number of in the samples by the number of or of the samples. . The symbol _ represents the successes of the samples. . The size of the sample is symbolized as . . The test statistic used in testing hypothesis involving population proportion is whose formula is CLT means . . The two assumptions in testing the situations involving population proportion is to show that conditions for are met; . and are both satised. Sample size is considered to be suiciently large it"