Only about 15% of all people can wiggle their ears. Is this percent different for millionaires? Of the 398 millionaires surveyed, 40 could wiggle their ears. What can be concluded at the αα = 0.05 level of significance? For this study, we should use Select an answer t-test for a population mean z-test for a population proportion  The null and alternative hypotheses would be:  H0:H0:  ? μ p  Select an answer > < ≠ =   (please enter a decimal)  H1:H1:  ? μ p  Select an answer < = ≠ >   (Please enter a decimal) The test statistic ? z t  =  (please show your answer to 3 decimal places.) The p-value =  (Please show your answer to 3 decimal places.) The p-value is ? ≤ >  αα Based on this, we should Select an answer fail to reject accept reject  the null hypothesis. Thus, the final conclusion is that ... The data suggest the population proportion is not significantly different from 15% at αα = 0.05, so there is statistically insignificant evidence to conclude that the population proportion of millionaires who can wiggle their ears is different from 15%. The data suggest the population proportion is not significantly different from 15% at αα = 0.05, 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 is significantly different from 15% at αα = 0.05, so there is statistically significant evidence to conclude that the population proportion of millionaires who can wiggle their ears is different from 15%.

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Only about 15% of all people can wiggle their ears. Is this percent different for millionaires? Of the 398 millionaires surveyed, 40 could wiggle their ears. What can be concluded at the αα = 0.05 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 decimal)

 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 not significantly different from 15% at αα = 0.05, so there is statistically insignificant evidence to conclude that the population proportion of millionaires who can wiggle their ears is different from 15%.
    • The data suggest the population proportion is not significantly different from 15% at αα = 0.05, 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 is significantly different from 15% at αα = 0.05, so there is statistically significant evidence to conclude that the population proportion of millionaires who can wiggle their ears is different from 15%.
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