Two different simple random samples are drawn from two different populations. The first sample consists of 20 people with 9 having a common attribute. The second sample consists of 1900 people with 1369 of them having the same common attribute. Compare the results from a hypothesis test of p, = P2 (with a 0.01 significance level) and a 99% confidence interval estimate of p, -P2- What are the null and alternative hypotheses for the hypothesis test? O A. Ho: P1 * P2 O B. Ho: P1 =P2 H: P, *P2 OC. Ho: P1 =P2 H: P, P2 H: P, #P2 Identify the test statistic. (Round to two decimal places as needed.) Identify the critical value(s). (Round to three decimal places as needed. Use a comma to separate answers as needed.) What is the conclusion based on the hypothesis test? The test statistic is v the critical region, so V the null hypothesis. There is v evidence to conclude that pP, P2- The 99% confidence interval is < (P1 -P2) <

In a study designed to assess the side effects of two drugs, 50 animals were given drug A,  and 50 animals were given Drug B. Of the 50 receiving Drug A, 11 showed undesirable side effects, while 8 of those receiving Drug B reacted similarly. Find the 98% confidence interval for the true difference in population proportions, pˆ A − pˆ B.

Nina would like to estimate the difference in the mean amount of time students spend on math homework at her public school versus her cousin Sharon’s private school. To do so, each girl selects a random sample of 30 students from their large schools and asks the selected students how much time they spent doing math homework the previous night. Nina and Sharon would like to construct a 90% confidence interval for the true difference in the population means. Are the conditions for inference met? Yes, all three conditions for inference are met. No, the random condition is not met for both samples. No, the 10% condition is not met for both samples. No, the Normal/large sample condition is not met for both samples.

The Martin County Health Department needs to estimate the proportion of all children in the county aged 19-35 months that are completely up to date with all state-recommended immunizations. The Martin County Health Department found that 88% of a random sample of children in the county aged 19-35 months were completely up to date with all state-recommended immunizations. Find three different confidence intervals - one with sample size 228, one with sample size 402, and one with sample size 658. Assume that 88% of the children each sample are completely up to date with all state recommended immunizations. Observe how the sample size affects the margin of error and subsequently the width of each interval. Report confidence interval solutions using interval notation. Report all solutions in percent form, rounded to two decimal places, if necessary. • When n = 228, the margin of error for a 95% confidence interval is given by When n = • When n = When n = 228, a 95% confidence interval is…