Exercise 09.40 Algo (Population Proportion) Question 3 of 10 Hint(s) Check My Work Last year, 47% of business owners gave a holiday gift to their employees. A survey of business owners conducted this year indicates that 36%% planned to provide a holiday gift to their employees. Suppose the survey results are based on a sample of 80 business owners. a. How many business owners in the survey planned to provide a holiday gift to their employees this year? Round your answer to the nearest whole number. 29 b. Suppose the business owners in the sample do as they plan. Conduct a hypothesis test that can be used to determine whether the proportion of business owners providing holiday gifts decreased from last year. State the hypotheses. V Ha : p is |less than or equal to v the critical value. Using the critical value approach, can you conclude that the population mean refund for "last minute" filers is less than the population mean refund for early filers? Yes Hide Feedback Partially CorrectHint(s) Check My Work At Western University the historical mean of scholarship examination scores for freshman applications is 900. A historical population standard deviation = 180 is assumed known. Each year, the assistant dean uses a sample of applications to determine whether the mean examination score for the new freshman applications has changed. a. State the hypotheses. Ho : p equal to 900 Ha: p not equal to 900 b. What is the 95% confidence interval estimate of the population mean examination score if a sample of 200 applications provided a sample mean of * = 935 (to the nearest whole number)? 910 960 c. Use the confidence interval to conduct a hypothesis test. Using o = 0.05, can the assistant dean conclude that the mean examination score for the new freshman applications has changed? Yes d. What is the p-value (to 4 decimals)? (Use Table 1 from Appendix B.) "Hide Feedback Partially Correct Hint(s) Check My Work O- Icon Key