14

For the following scenarios, conduct a full hypothesis test where you write down all relevant statistics and parameters, check the conditions needed for the relevant distribution, state the null and alternative hypothesis and which type of test is being used, calculate the test statistic, draw and label a picture of the distribution, make a decision based on the classical or P-value approach, and write a conclusion in a complete sentence 14.)(10 points) The dean of the English department at a university needs to determine how many night classes to offer for the upcoming semester. Historically, 16% of students have had at least one night class during any given semester. The dean thinks this proportion will be higher next semester. A survey of 260 prospective students finds that 43 of them plan to take night classes next semester. Test the dean's claim at the 1% significance level