1. In a large clinical trial, 394,804 children were randomly assigned to two groups. The treatment group consisted of 196,517 children given a vaccine for a certain disease, and 37 of those children developed the disease. The other 198,287 children were given a placebo, and 125 ofthose children developed the disease. Consider the vaccine treatment group to be the first A A A A _ _ sample. Identify the values of n1, p1, q1, n2, p2, q2, p, and q. p1 =l:l (Type an integer or a decimal rounded to eight decimal places as needed.) cH=|:| (Type an integer or a decimal rounded to eight decimal places as needed.) 62:: (Type an integer or a decimal rounded to eight decimal places as needed.) q2 = l:l (Type an integer or a decimal rounded to eight decimal places as needed.) e: (Type an integer or a decimal rounded to eight decimal places as needed.) a=: (Type an integer or a decimal rounded to eight decimal places as needed.) 2. A newspaper published an article about a study in which researchers subjected laboratory gloves to stress. Among 268 vinyl gloves, 57% leaked viruses. Among 268 latex gloves, 13% leaked viruses. Using the accompanying display ofthe technology results, and using a 0.01 significance level, test the claim that vinyl gloves have a greater virus leak rate than latex gloves. Let vinyl gloves be population 1. 1 Click the icon to view the technology results. What are the null and alternative hypotheses? OA. H0:p1>p2 OB. H0:p1=p2 H13912F32 413919032 OD. H0:p1=p2 O 5- H02p1=p2 H13|01>F32 413pip2 Identify the test statistic. (Round to two decimal places as needed.) Identify the P-value. (Round to three decimal places as needed.) What is the conclusion based on the hypothesis test'? The P-value is (1) the significance level ofu= 0.05, so (2) the null hypothesis. There (3) evidence to warrant rejection of the claim that women and men have equal success in challenging calls. b. Test the claim by constructing an appropriate confidence interval. The 95% confidence interval is |:| O 0 0 2 o s o = C) Choose the correct answer below. O A. A confidence interval is used to test a claim about two population proportions. O B. The confidence interval uses a standard deviation based on estimated values of the population proportions. O C. If a confidence interval estimate of p1 p2 does not include 0, we have evidence suggesting that p1 and p12 have cliff Cl D. A confidence interval is used to estimate the difference between two population proportions. 6. Determine whether the samples are independent or dependent. A data set includes the list price and selling price for each of 170 randomly selected homes. Choose the correct answer below. O A. "he samples are dependent because there is not a natural pairing between the two samples. C) B. 'he samples are independent because there is not a natural pairing between the two samples. 0 C. "he samples are dependent because there is a natural pairing between the two samples. O D. 'he samples are independent because there is a natural pairing between the two samples. 7. An experiment was conducted to determine whether giving nnnn candy to dining parties resulted in greater tips. The mean tip 34 18 35 1 35 percentages and standard deviations are given in the 0 can y --- accompanying table along with the sample sizes. Assume 20-54 that the two samples are independent simple random samples selected from normally distributed populations, and do not assume that the population standard deviations are equal. Complete parts (a) and (b). a. Use a 0.01 significance level to test the claim that giving candy does result in greater tips. What are the null and alternative hypotheses? O A. H0: p1 = p2 H13 \"1 H2 The test statistic, t, is |:|. (Round to two decimal places as needed.) The Pvalue is |:|. (Round to three decimal places as needed.) State the conclusion for the test. O A. Fail to reject the null hypothesis. There is sufficient evidence to support the claim that giving candy does result in gre C) B. Reject the null hypothesis. There is sufficient evidence to support the claim that giving candy does result in greater ti] 0 C. Reject the null hypothesis. There is not sufficient evidence to support the claim that giving candy does result in great: Cl D. Fail to reject the null hypothesis. There is not sufficient evidence to support the claim that giving candy does result in b. Construct the confidence interval suitable for testing the claim in part (a). (Round to two decimal places as needed.) Does the confidence interval support the conclusion found with the hypothesis test? (1) because the confidence interval contains (2) (1) O Yes, (2) O zero. 0 No, C) only positive values. 0 only negative values. 8. Assume that the two samples are independent simple random samples selected from normally distributed populations. Do not assume that the population standard deviations are equal. Refer to the accompanying data set. Use a 0.01 significance level to test the claim that women and men have the same mean diastolic blood pressure. 2 Click the icon to view the data for diastolic blood pressure for men and women. Let p1 be the mean diastolic blood pressure for women and let p2 be the mean diastolic blood pressure for men. What are the null and alternative hypotheses? OA- H03H1 O > O 75 O 75 (6) 0 zero, (7) O reject 0 only positive numbers, 0 fail to reject 0 only negative numbers, https:/lxlitemprod.pearsoncmg.comlapilv1[print/high ered 11/22