Only about 10% of all people can wiggle their ears. Is this percent higher for millionaires? Of the 307 millionaires surveyed, 46 could wiggle their ears. What can be concluded at the α = 0.05 level of significance?
Only about 10% of all people can wiggle their ears. Is this percent higher for millionaires? Of the 307 millionaires surveyed, 46 could wiggle their ears. What can be concluded at the α = 0.05 level of significance?
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 higher for millionaires? Of the 307 millionaires surveyed, 46 could wiggle their ears. What can be concluded at the α = 0.05 level of significance?
- For this study, we should use
- The null and alternative hypotheses would be:
H0:H0: (please enter a decimal)
H1:H1: (Please enter a decimal)
- The test statistic = (please show your answer to 3 decimal places.)
- The p-value = (Please show your answer to 3 decimal places.)
- The p-value is α
- Based on this, we should the null hypothesis.
- Thus, the final conclusion is that ...
- The data suggest the population proportion is not significantly higher than 10% at α = 0.05, so there is statistically insignificant evidence to conclude that the population proportion of millionaires who can wiggle their ears is higher than 10%.
- The data suggest the populaton proportion is significantly higher than 10% at α = 0.05, so there is statistically significant evidence to conclude that the population proportion of millionaires who can wiggle their ears is higher than 10%.
- The data suggest the population proportion is not significantly higher than 10% at α = 0.05, so there is statistically significant evidence to conclude that the population proportion of millionaires who can wiggle their ears is equal to 10%.
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