Question

of B of In a recent poll of 1400 randomly selected adults, a president's approval rating stood at 42%. a) Make a 95% confidence interval for the president's approval rating by all adults in the country b) Based on the confidence interval, test the null hypothesis that the previous president's approval rating of 62.6% at the same point in the presidency was no better. a) Find the 95% confidence interval 1 of C (Type integers or decimals. Round to three decimal places as needed.) b) What are the hypotheses for the test? 1 of comple Ho: The previous president's approval rating HA: The previous president's approval rating at the same point in the presidency at the same point in the presidency. 3 of co the confidence interval which suggests Based on the confidence interval, that their approval rating was the null hypothesis. The previous president's approval rating is the current president's approval rating of complete Enter your answer in each of the answer boxes
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Answer 1

Given information_ *Sample size (n): 1400 *Sample proportion ( ): 0.42 11 a) The critical value is obtained from standard normal table at level of significance (0.05) Critical value is +1.96 The 95% confidence interval for the president approval rating by all adults in the country is calculated as follow. 1=0.95 0.42(1-0.42) 10.42(1-0.42) P 0.42 -1.96 << p <0.42 +1.96.1 1400 1400 P(0.394 <p <0.445) = 0.95 Therefore, required confidence interval is (0.394 to 0.445) b) Based on the confidence interval, we reject the null hypothesis. The president approval rating (0.526) is not include in the confidence interval.