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Only about 10% of all people can wiggle their ears. Is this percent different for millionaires? Of the 397 millionaires surveyed, 24 could wiggle their ears. What can be concluded at the a = 0.01 level of significance?

Only about 10% of all people can wiggle their ears. Is this percent different for millionaires? Of the 397 millionaires surveyed, 24 could wiggle their ears. What can be concluded at the a = 0.01 level of significance?

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Only about 10% of all people can wiggle their ears. Is this percent different for millionaires? Of the 397 millionaires surveyed, 24 could wiggle their ears. What can be concluded at the a = 0.01 level of significance? a. For this study, we should use z-test for a population proportion V b. The null and alternative hypotheses would be: Но: 0.1 (please enter a decimal) H1: 0.1 (Please enter a decimal) c. The test statistic 2 =| 2.627 X (please show your answer to 3 decimal places.) o -2.627 d. The p-value = (Please show your answer to 3 decimal places.) e. The p-value is ? Va f. Based on this, we should Select an answer v the null hypothesis. g. Thus, the final conclusion is that ... O The data suggest the populaton proportion is significantly different from 10% at a = 0.01, so there is statistically significant evidence to conclude that the population proportion of millionaires who can wiggle their ears is different from 10%. O The data suggest the population proportion is not significantly different from 10% at a = 0.01, so there is statistically significant evidence to conclude that the population proportion of millionaires who can wiggle their ears is equal to 10%. O The data suggest the population proportion is not significantly different from 10% at a = 0.01, so there is statistically insignificant evidence to conclude that the population proportion of millionaires who can wiggle their ears is different from 10%.
Transcribed Image Text:Only about 10% of all people can wiggle their ears. Is this percent different for millionaires? Of the 397 millionaires surveyed, 24 could wiggle their ears. What can be concluded at the a = 0.01 level of significance? a. For this study, we should use z-test for a population proportion V b. The null and alternative hypotheses would be: Но: 0.1 (please enter a decimal) H1: 0.1 (Please enter a decimal) c. The test statistic 2 =| 2.627 X (please show your answer to 3 decimal places.) o -2.627 d. The p-value = (Please show your answer to 3 decimal places.) e. The p-value is ? Va f. Based on this, we should Select an answer v the null hypothesis. g. Thus, the final conclusion is that ... O The data suggest the populaton proportion is significantly different from 10% at a = 0.01, so there is statistically significant evidence to conclude that the population proportion of millionaires who can wiggle their ears is different from 10%. O The data suggest the population proportion is not significantly different from 10% at a = 0.01, so there is statistically significant evidence to conclude that the population proportion of millionaires who can wiggle their ears is equal to 10%. O The data suggest the population proportion is not significantly different from 10% at a = 0.01, so there is statistically insignificant evidence to conclude that the population proportion of millionaires who can wiggle their ears is different from 10%.
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