questions 6 and 7
Question 6 16 pts 9 1 0 Details Only about 19% of all people can wiggle their ears. Is this percent higher for millionaires? Of the 341 millionaires surveyed, 80 could wiggle their ears. Run a hypothesis test to see if the percent of millionaires who can wiggle their ears is more than 19% at the o = 0.05 level of significance? Use the classical approach. a. For this study, we should use Select an answer b. The null and alternative hypotheses would be: Ho: 7 \\ Select an answer (please enter a decimal) Hy: 7 \\ Select an answer (Please enter a decimal) C. The test statistic ?- (please show your answer to 3 decimal places.) d. The critical value = (Please show your answer to 3 decimal places.) e. The test statistic is Select an answer in the rejection region f. Based on this, we should Select an answer the null hypothesis. g. Thus, the final conclusion is that ... The data suggest the populaton proportion is significantly more than 19% at a = 0.05, so there is sufficient evidence to conclude that the proportion of millionaires who can wiggle their ears is more than 19%. The data suggest the population proportion is not significantly more than 19% at a = 0.05, so there is not sufficient evidence to conclude that the proportion of millionaires who can wiggle their ears is more than 19%. The data suggest the population proportion is not significantly more than 19% at a = 0.05, so there is sufficient evidence to conclude that the proportion of millionaires who can wiggle their ears is equal to 19%. h. To the best of your ability, explain why you chose the conclusion you did in part g. Question 7 16 pts 9 1 0 Details Prior to a new drive-through system, the mean wait time at a certain fast food restaurant was 81 seconds. Use the data in the table below to decide whether the evidence suggests the mean wait time is different than 81 seconds with their new system. Assume wait times are normally distributed and use an a = 0.01 significance level. Use the p-value approach. 81.2 86.8 62.3 67 96.7 89.8 63.6 70.9 101.8 85.9 a. For this study, we should use Select an answer . The null and alternative hypotheses would be: Ho: 7 \\ Select an answer H,: [? V Select an answer c. The test statistic ? - (please show your answer to 3 decimal places.) d. The p-value = (Please show your answer to 4 decimal places.) . The p-value is ? a f. Based on this, we should Select an answer ] the null hypothesis. g. Thus, the final conclusion is that .. The data suggest the populaton mean is significantly different at o = 0.01, so there is sufficient evidence to conclude that the mean wait time is different The data suggest the population mean is not significantly different at a = 0.01, so there is not sufficient evidence to conclude that the mean wait time is different. The data suggest the population mean is not different at o - 0.01, so there is sufficient evidence to conclude that the mean wait time is different. Explain how you found the p-value in the last
