0 Question 1 v B 0/2 pts '0 3 8 19 G) Details Practice setting up hypotheses. Hint for finding Ho: In MyOpenMath and for the purposes of our class, Ho always contains they symbol "=" The alternative hypothesis, Ha, is the tougher one! This is what the researcher wants to demonstrate. The average American consumes 8.8 liters of alcohol per year. Does the average college student consume less alcohol per year? State your null and alternative hypothesis H0: l? VHSelectananswer Vl' ' Ha: I? v II Select an answer v I' ' 0 Question 12 v 80/1 pt '0 3 8 19 6) Details Practice calculating the test statistic and p-value. Remember, after performing a hypothesis test in the calculator, the test statistic is labeled t or z in your calculator, while the p-value is labeled p. Be careful to choose the correct test, the z-test or t-test, to find your answer. Testing: Hozp : 38.505 lep 7i 38.505 Your sample consists of 45 subjects, with a mean of 37.6. You were given a population standard deviation of 3.19. Calculate the test statistic, rounded to 2 decimal places. 2: 0 Question 13 v IZ 0/1 pt '0 3 2 19 6) Details Practice calculating the test statistic and p-value. Remember, after performing a hypothesis test in the calculator, the test statistic is labeled t or Z in your calculator, while the p-value is labeled p. Be careful to choose the correct test, the z-test or t-test, to find your answer. A researcher has boiled her hypothesis test down to the following information. H0: ,u : 43, Ha: ,u, > 43, a. : 0.1 E : 44.0597, 3 : 2.5422, n : 15 Find the p-value. 0 Question 15 v IZ 0/3 pts '0 3 8 19 CD Details Now that you have learned the basics of testing, you will perform full hypothesis tests for the mean. For these examples, use the Z-Test (for when population standard deviation 0' is known). You wish to test the following claim (Ha) at a significance level of a : 0.002. Hon; : 82.5 Hana > 82.5 You believe the population is normally distributed, but you do not know the standard deviation. You obtain a sample of size n : 4 with mean M : 92.8 and a standard deviation of SD : 5.7. What is the p-value for this sample? (Report answer accurate to four decimal places.) p-value = l l The pvalue is... 0 less than (or equal to) a O greater than a This p-value leads to a decision to... O reject the null O accept the null O fail to reject the null As such, the final conclusion is that... 0 There is sufficient evidence to warrant rejection of the claim that the population mean is greater than 82.5. 0 There is not sufficient evidence to warrant rejection of the claim that the population mean is greater than 82.5. 0 The sample data support the claim that the population mean is greater than 82.5. 0 There is not sufficient sample evidence to support the claim that the population mean is greater than 82.5. 0 Question 16 v Iz 0/3 pts '0 3 8 19 6) Details For these examples, use the T-Test, for when population standard deviation 0' is unknown. You wish to test the following claim (Ha) at a significance level of a : 0.01. H045 : 53.7 H34; > 53.7 You obtain a sample of size 'n. : 647 with mean :7: : 55.9 and a standard deviation of s : 17.3. a. What is the test statistic for this sample? test statistic = l ' Round to 3 decimal places b. What is the p-value for this sample? p-value = l ' Use Technology] Round to 4 decimal places. (2. The p-value is... 0 less than (or equal to) a O greater than a d. This test statistic leads to a decision to... O reject the null O accept the null O fail to reject the null e. As such, the final conclusion is that... 0 There is sufficient evidence to warrant rejection of the claim that the population mean is greater than 53.7. 0 There is not sufficient evidence to warrant rejection of the claim that the population mean is greater than 53.7. 0 The sample data support the claim that the population mean is greater than 53.7. 0 There is not sufficient sample evidence to support the claim that the population mean is greater than 53.7. 0 Question 17 v I3 0/3 pts '0 3 8 19 6) Details For these examples, use the TTest, for when population standard deviation 0' is unknown. A shareholders' group is lodging a protest against your company. The shareholders group claimed that the mean tenure for a chief exective office (CEO) was at least 9 years. A survey of 88 companies reported in The Wall Street Journal found a sample mean tenure of 7.2 years for CEOs with a standard deviation of s : 5.5 years (The Wall Street Journal, January 2, 2007). You don't know the population standard deviation but can assume it is normally distributed. You want to formulate and test a hypothesis that can be used to challenge the validity of the claim made by the group, at a significance level of a: : 0.005. Your hypotheses are: 1104129 Hazu B 0/2 pts '0 3 2:3 19 G) Details Practice setting up hypotheses. Hint for finding H0: In MyOpenMath and for the purposes of our class, Ho always contains they symbol The alternative hypothesis, Ha, is the tougher one! This is what the researcher wants to demonstrate. 21% of deaths among male adults can be attributed to heart diseases. Is this percentage different among residents in Sonoma County? State the Null and Alternative hypothses. H0: l? VIISeIectananswer V\" Ha: I? V H Select an answer v i' ' . Question 3 IZ 0/1 pt '0 3 8 19 G) Details Practice identifying type I and type II errors Type I error is: O Failing to reject a false null hypothesis O Rejecting a false null hypothesis 0 Rejecting a true null hypothesis O Failing to reject a true null hypothesis 0 Failing to reject a true alternative hypothesis 0 Question 5 v IZ 0/1 pt '0 3 8 19 G) Details Practice identifying type I and type II errors Type II error is: O Rejecting a false null hypothesis 0 Failing to reject a true null hypothesis 0 Rejecting a true null hypothesis 0 Failing to reject a false null hypothesis 0 Failing to reject a true alternative hypothesis 0 Question 6 v B 0/2 pts '0 3 23 19 6) Details Practice identifying type I and type II errors Suppose someone is tested for an viral infection. The lab is looking for evidence that the person is infected, so it can be said that they are conducting a hypothesis test using the null and alternative hypotheses of Ho: The person is healthy. H A! The person is infected. If there is a TYPE 1 ERROR, then. ..[select the one best answer] Q The person is infected, but the test says they are healthy. O The person is healthy, but the test says they are infected. O The test is inconclusive-- we don't know if they are infected. If there is a TYPE 2 ERROR, then. ..[select the one best answer] 0 The person is infected, but the test says they are healthy. O The person is healthy, but the test says they are infected. O The test is inconclusive-- we don't know if they are infected. Question 8 0/1 pt 9 3 7 19 0 Details Practice making decisions based on the test statistic and p-value. For which of the following pairs of significance levels and p-values are the results statistically significant? That is, for each a, should Ho be rejected based on the given p-value? Select all cases where Ho should be rejected: Da = 0.050; p-value = 0.102 Da = 0.005; p-value = 0.015 Da = 0.001; p-value = 0.035 Da = 0.100; p-value = 0.009 Da = 0.025; p-value = 0.074 Da = 0.010; p-value = 0.003