Only about 12% of all people can wiggle their ears. Is this percent different for millionaires? Of the 312 millionaires surveyed, 41 could wiggle their ears. What can be concluded at the αα = 0.10 level of significance? A.) The null and alternative hypotheses would be: H0:H0: ? p μ Select an answer ≠ = > < (please enter a decimal) H1:H1: ? μ p Select an answer = > ≠ < (Please enter a decimal) B.) The test statistic ? t z = (please show your answer to 3 decimal places.) C.) The p-value = (Please show your answer to 3 decimal places.) Thus, the final conclusion is that ... The data suggest the population proportion is not significantly different from 12% at αα = 0.10, so there is statistically insignificant evidence to conclude that the population proportion of millionaires who can wiggle their ears is different from 12%. The data suggest the populaton proportion is significantly different from 12% at αα = 0.10, so there is statistically significant evidence to conclude that the population proportion of millionaires who can wiggle their ears is different from 12%. The data suggest the population proportion is not significantly different from 12% at αα = 0.10, so there is statistically significant evidence to conclude that the population proportion of millionaires who can wiggle their ears is equal to 12%.

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 12% of all people can wiggle their ears. Is this percent different for millionaires? Of the 312 millionaires surveyed, 41 could wiggle their ears. What can be concluded at the αα = 0.10 level of significance?

A.) The null and alternative hypotheses would be:

H0:H0: ? p μ Select an answer ≠ = > < (please enter a decimal)

H1:H1: ? μ p Select an answer = > ≠ < (Please enter a decimal)

B.) The test statistic ? t z = (please show your answer to 3 decimal places.)

C.) The p-value = (Please show your answer to 3 decimal places.)

Thus, the final conclusion is that ...

The data suggest the population proportion is not significantly different from 12% at αα = 0.10, so there is statistically insignificant evidence to conclude that the population proportion of millionaires who can wiggle their ears is different from 12%.
The data suggest the populaton proportion is significantly different from 12% at αα = 0.10, so there is statistically significant evidence to conclude that the population proportion of millionaires who can wiggle their ears is different from 12%.
The data suggest the population proportion is not significantly different from 12% at αα = 0.10, so there is statistically significant evidence to conclude that the population proportion of millionaires who can wiggle their ears is equal to 12%.

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