For each of the following choices, explain which would result in a wider large-sample confidence interval for p. (Hint: Consider the confidence interval formula.) (a) 90% confidence level or 95% confidence level For any given sample, the 90% confidence interval is wider than the 95% confidence interval because the z critical value for a 90% confidence interval is smaller than the z critical value for a 95% confidence interval. For any given sample, the 95% confidence interval is wider than the 90% confidence interval because the z critical value for a 95% confidence interval is larger than the z critical value for a 90% confidence interval. For any given sample, the 95% confidence interval is wider than the 90% confidence interval because the z critical value for a 95% confidence interval is smaller than the z critical value for a 90% confidence interval. For any given sample, the 90% confidence interval is wider than the 95% confidence interval because the z critical value for a 90% confidence interval is larger than the z critical value for a 95% confidence interval. (b) n = 100 or n = 400 The sample of size n = 400 is more likely to result in a wider confidence interval because the value of p(1 - p) increases as n increases. The sample of size n = 100 is more likely to result in a wider confidence interval because the value of The sample of size n = 400 is more likely to result in a wider confidence interval because the value of The sample of size n = 100 is more likely to result in a wider confidence interval because the value of n p(1 - p) increases as n decreases. n p(1 - p) decreases as n increases. n p(1 - p) decreases as n decreases. n