Question

Only about 13% of all people can wiggle their ears. Is this percent lower 302 millionaires surveyed, 24 could wiggle their ears. What can be concluded at the a = 0.05 level of significance? a. For this study, we should use Select an answer b. The null and alternative hypotheses would be: Ho: ? ? (please enter a decimal) Hj: ? ? (Please enter a decimal) c. The test statistic ? = (please show your answer to 3 decimal places.) d. The p-value = (Please show your answer to 3 decimal places.) e. 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 population proportion is not significantly lower than 13% at a = 0.05, so there is statistically significant evidence to conclude that the population proportion of millionaires who can wiggle their ears is equal to 13%. The data suggest the populaton proportion is significantly lower than 13% at a = 0.05, so there is statistically significant evidence to conclude that the population proportion of millionaires who can wiggle their ears is lower than 13%. The data suggest the population proportion is not significantly lower than 13% at a = 0.05, so there is statistically insignificant evidence to conclude that the population proportion of millionaires who can wiggle their ears is lower than 13%.

Answer 1

Given Favorable for x sample size 24 n = 302 Sample proportion Ô = 0.0795 Test hypothesis are Null hypothesis Alternate hypothesis H:p = 0.13 H:p < 0.13 Test statistic Test statistic z=- p-p E p(1-p)/n = (0.795-0.13)/sqrt(0.13*(1-0.13)/302) = -2.611077 -2.61 P-value P(Z<z) = 0.0045 (Using z value table) Decision Since p-Value <0.05 hence reject the Ho

Answers are: a) for this study we should use 1 sample proportion z test b) Test hypothesis are Ho:p=0.13 Hi:p<0.13 c) Test statistic z=-2.61 d) p-value = 0.0045 e) The p-value<a f) based on this we should reject the null hypothesis g) 2nd option is correct