Please provide all steps in the answer. Please provide the hypothesis and null h

Question

Please provide all steps in the answer.
Please provide the hypothesis and null hypothesis if and when appropriate.


A 2003 New York Times/CBS News poll sampled 523 adults who were planning a vacation during the next six months and found that 141 were expecting to travel by airplane. A similar survey question in a May 1993 New York Times/CBS News poll found that of 477 adults who were planning a vacation in the next six months, 81 were expecting to travel by airplane. (Let 1 = year 2003; 2 = year 1993)

a. State the hypotheses that can be used to determine whether a significant change occurred in the population proportion planning to travel by airplane over the 10-year period.

b. What is the sample proportion expecting to travel by airplane in 2003? In 1993?


c. Using alpha = 0.01 and the p-value approach to test the hypotheses. What is the p-value? Do you reject or accept the null hypothesis? What is the conclusion? Explain.

Explanation / Answer

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This results in a two-sided p-value < 0.0001. The null hypothesis is rejected at the 5%

level of significance and a difference between the two population proportions is concluded. This

is consistent with the results of the confidence interval approach above.

As mentioned previously, the aforementioned confidence interval is commonly referred

to as the Wald interval. However, as will be discussed later in this paper, the Wald interval

performs poorly under certain conditions (Agresti & Caffo, 2000). Because of this, others have

developed alternative approaches to constructing binomial confidence intervals that seem to

perform better under those conditions.

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