MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN: 9781119256830
Author: Amos Gilat
Publisher: John Wiley & Sons Inc
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Only about 13% of all people can wiggle their ears. Is this percent higher for millionaires? Of the 351 millionaires surveyed, 56 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 z-test for a population proportion t-test for a population mean 
  2. The null and alternative hypotheses would be:

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

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

  1. The test statistic ? t z  =  (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 reject fail to reject accept  the null hypothesis.
  5. Thus, the final conclusion is that ...
    • The data suggest the populaton proportion is significantly higher than 13% 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 13%.
    • The data suggest the population proportion is not significantly higher than 13% 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 13%.
    • The data suggest the population proportion is not significantly higher than 13% 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 13%.
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