We wish to test a claim that at least 40% of high school students play a musical instrument. Out of 100 randomly-selected students, 35 report to playing a musical instrument. Suppose we use a population proportion hypothesis test. What is the z-statistic corresponding to our sample data? Report your answer to two decimal places.

IS IT REASONABLE TO ASSUME THIS SAMPLE CAME FROM A NORMAL POPULATION?

Tourism is extremely important to the economy of Florida. Hotel occupancy is an often-reported measure of visitor volume and visitor activity (Orlando Sentinel, May 19, 2018). Hotel occupancy data for February in two consecutive years are as follows. Current Year 1,476 1,800 Occupied Rooms Total Rooms 1,422 1,800 a. Formulate the hypothesis test that can be used to determine whether there has been an increase in the proportion of rooms occupied over the one-year period. Let P₁= population proportion of rooms occupied for current year P2 population proportion of rooms occupied for previous year - P2 less than or equal to 0 greater than 0 Ho P1 Ha P1 P2 b. What is the estimated proportion of hotel rooms occupied each year (to 2 decimals)? Current year .80 X Previous Year .77 c. Conduct a hypothesis test. What is the p-value (to 4 decimals)? Use Table 1 from Appendix B. Previous Year p-value = 0.0166 Using a 0.05 level of significance, what is your conclusion? We can conclude that there…

One personality test available on the World Wide Web has a subsection designed to assess the "honesty" of the test-taker. After taking the test and seeing your score for this subsection, you're interested in the mean score,  μ , among the general population on this subsection. The website reports that  μ  is  148 , but you believe that  μ  is greater than  148 . You decide to do a statistical test. You choose a random sample of people and have them take the personality test. You find that their mean score on the subsection is  152  and that the standard deviation of their scores is  28 . Based on this information, answer the questions below. What are the null hypothesis ( H0 ) and the alternative hypothesis ( H1 ) that should be used for the test? H0 :  μ  is   H1 :  μ  is  In the context of this test, what is a Type I error?A Type I error is  the hypothesis that  μ  is   when, in fact,  μ  is  .Suppose that you decide not to…