Question: Using the data in Exercise 3.3: a. Construct a (95 %) confidence interval for (p). b. Construct a (99 %) confidence interval for (p). c.

Using the data in Exercise 3.3:

a. Construct a \(95 \%\) confidence interval for \(p\).

b. Construct a \(99 \%\) confidence interval for \(p\).

c. Why is the interval in (b) wider than the interval in (a)?

d. Without doing any additional calculations, test the hypothesis \(H_{0}: p=0.50\) vs. \(H_{1}: p eq 0.50\) at the \(5 \%\) significance level.

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