Question

Question 19 (1 point) Suppose you are testing the hypotheses Ho : p=0.22 vs. p +0.22 with significance level a = 0.05. A sample size of 262 results in a sample proportion of 0.28. As you know, one way to address two-sided tests is to create confidence intervals. Construct the appropriate confidence interval for p that could be used to address the test and report the upper limit of the confidence interval. Note: 1- Only round your final answer to 2 decimal places. Enter your final answer with 2 decimal places. 2- Your final answer should be expressed as a decimal and not a percentage. Your Answer: Answer

Answer 1

95% confidence interval for p is

$\hat{p}$ - Z$\alpha$/2 * sqrt [ $\hat{p}$ ( 1 - $\hat{p}$ ) / n ] < p < $\hat{p}$ + Z$\alpha$/2 * sqrt [ $\hat{p}$ ( 1 - $\hat{p}$ ) / n ]

0.28 - 1.96 * sqrt [ 0.28 * ( 1 - 0.28) / 262] < p < 0.28 + 1.96 * sqrt [ 0.28 * ( 1 - 0.28) / 262]

0.23 < p < 0.33

Upper limit = 0.33