Question: a) p. 608, # 14.20.

A summary is shown below:

The Chi-Square statistics is \({{\chi }^{2}}=9.55\), and the corresponding p-value is p = 0.00842, which means that we reject the null hypothesis of independence. In other words we support the claim about a generational gap for this question.

1. Using the same data, conduct a difference of proportion hypothesis test to assess the following hypothesis:
   H0: The proportion of GenXers who would do things differently is equal to the proportion of people born before 1964 who would do things differently
   HA: The proportion of GenXers who would do things differently is not equal to the proportion of people born before 1964 who would do things differently
   (Hint: Your analysis is now based on two categories, GenXers and people born before 1964. You will need to combine counts for the Boomers and Matures two categories that can be compared.)

   p -Value

   0.103012

   
   The Chi-Square statistics is \({{\chi }^{2}}=2.658\), and the corresponding p-value is p = 0.103, which means that we fail reject the null hypothesis of independence. In other words we don’t have enough evidence to support the claim.
2. Compare the results you found in parts a and b. Which test provided you with more meaningful information? Explain.

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