Question

Test the hypothesis using the P-value approach. Be sure to verily the requirements of the test Ho p-0.3 versus H P>0.3 n-200, x=80; α:01 Calculate the test statistic, zo #0 (Round to two decimal places as needed) Identify the P-value P-value (Round to three decimal places as needed) Choose the correct result of the hypothesis test for the Pvalue approach belovw ty O A. Reject the nul hypothesis, because the P-value is greater than α O B. Do not reject the rull hypothesis, because the P-value is greater than α Cick to select vour answeris

Answer 1

(1) Null and Alternative Hypotheses The following null and alternative hypotheses need to be tested: Ho:p 0.3 на : p > 0.3 This corresponds to a right-tailed test, for which a z-test for one population proportion needs to be used Based on the information provided, the significance level is a-0.1, and the critical value for a right tailed test is1.28. The rejection region for this right-tailed test is R f:>1.28) The z-statistic is computed as follows 0.4-0.3 p -Po po)/m Since it is observed that rejected. 3.086 1.28, it is then concluded that the null hypothesis is Using the P-value approach: The p-value is p 0.001, and since p 0.0010.1, it is concluded that the null hypothesis is rejected. It is concluded that the null hypothesis Ho is rejected. Therefore, there is enough evidence to claim that the population proportion p is greater than po, at the a = 0.1 significance level. Confidence Interval The 90% confidence interval for p is: 0.343 < p . O.457

Reject Null, p less than alpha