Only about 15% of all people can wiggle their ears. Is this percent higher for millionaires? Of the 380 millionaires surveyed, 76 could wiggle their ears. What can be concluded at the αα = 0.10 level...


Only about 15% of all people can wiggle their ears. Is this percent higher for millionaires? Of the 380 millionaires surveyed, 76 could wiggle their ears. What can be concluded at the αα = 0.10 level of significance?



  1. For this study, we should use Select an answer t-test for a population mean z-test for a population proportion

  2. The null and alternative hypotheses would be:


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


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



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

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

  3. The p-value is ? ≤ >  αα

  4. Based on this, we should Select an answer fail to reject accept reject  the null hypothesis.

  5. Thus, the final conclusion is that ...


    • The data suggest the population proportion is notsignificantly higher than 15% at αα = 0.10, so there is statistically insignificant evidence to conclude that the population proportion of millionaires who can wiggle their ears is higher than 15%.

    • The data suggest the population proportion is notsignificantly higher than 15% 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 15%.

    • The data suggest the populaton proportion issignificantly higher than 15% at αα = 0.10, so there is statistically significant evidence to conclude that the population proportion of millionaires who can wiggle their ears is higher than 15%.




Jun 08, 2022
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