Only about 19% of all people can wiggle their ears. Is this percent different for millionaires? Of the 392 millionaires surveyed, 82 could wiggle their ears. What can be concluded at the αα = 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)

MATLAB: An Introduction with Applications
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Author:Amos Gilat
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Only about 19% of all people can wiggle their ears. Is this percent different for millionaires? Of the 392 millionaires surveyed, 82 could wiggle their ears. What can be concluded at the αα = 0.05 level of significance?

  1. For this study, we should use    
  2. The null and alternative hypotheses would be:

 H0:H0:             (please enter a decimal)

 H1:H1:             (Please enter a decimal)

  1. The test statistic     =  (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      the null hypothesis.
  5. Thus, the final conclusion is that ...
    • The data suggest the population proportion is not significantly different from 19% 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 19%.
    • The data suggest the population proportion is not significantly different from 19% 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 19%.
    • The data suggest the populaton proportion is significantly different from 19% 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 19%.
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