Q1/ In March 2014, Harris Interactive conducted a poll of a random sample of 2234 adult Americans 18 years of age or older and asked, "Which is more annoying to you, tailgaters or slow drivers who stay in the passing lane?" Among those surveyed, 1184 were more annoyed by tailgaters.

Construct a 90% confidence interval for the population proportion of all adult Americans who are more annoyed by tailgaters than slow drivers in the passing lane. Q2/ In a random sample of 40 visitors to a certain theme park, it was determined that the mean amount of money spent per person at the park (including ticket price) was $93.43 per day with a standard deviation of $15. Construct and interpret a 99% confidence interval for the mean amount spent daily per person at the theme park. Q3/

In December 2001, 38% of adults with children under the age of 18 reported that their family ate dinner together seven nights a week. In a recent poll, 403 of 1122 adults with children under the age of 18 reported that their family ate dinner together seven nights a week. Has the proportion of families with children under the age of 18 who eat dinner together seven nights a week decreased? Use =0.05 significance level.

a. State the appropriate null and alternative hypothesis.

b. What is the claim?

c. Use either the test statistic or the P-value to test the claim. Q4/ The ACT is a college entrance exam. ACT has determined that a score of 22 on the mathematics portion of the ACT suggests that a student is ready for college-level mathematics. To achieve this goal, ACT recommends that students take a core curriculum of math courses: Algebra I, Algebra II, and Geometry. Suppose a random sample of 200 students who completed this core set of courses results in a mean ACT math score of 22.6 with a standard deviation of 3.9. Do these results suggest that students who complete the core curriculum are ready for college-level mathematics? That is, are they scoring above 22 on the math portion of the ACT?

a. State the appropriate null and alternative hypotheses. Which is the claim?

b. Verify that the requirements to perform the test using the t-distribution are satisfied.

c. Use the test statistic or P-value approach at the = 0.05 level of significance to test the hypotheses in part (a).

d. provide a conclusion based on your results to part (c).