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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Author:Amos Gilat
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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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