Two researchers conduct separate studies to test Ho: p=0.50against Ha: p=0.50, each with n = 400. Researcher A gets 226observations in the category of interest, andp=226/400 =0.565. Researcher B gets 225 in the category ofinterest, and p = 225/400=0.5625. Complete parts (a) through(d) below.c. From (a) and (b), explain why important information is lost byreporting the result of a test as "P-value ≤0.05" versus"P-value 0.05," or as "reject Ho" versus "Do not reject Hoinstead of reporting the actual P-value.OA. The actual P-value is more informative because theprobability of a Type I or Type Il error depends on thesize of the significance level, a.B. The actual P-value is more informative because aproportion of tests equal to the significance level, a, isexpected to reject the null hypothesis by chance even ifit is true.OC. The actual P-value is more informative because thestrength of the evidence varies based on the value.d. Find the 99% confidence interval for p for both researchers.Explain how this method shows that, in practical terms, the twostudies had very similar results.8.8The confidence interval for B is(Round to three decimal places as needed.)Explain why the two studies had very similar results.The confidence interval for A is (OA. The studies had similar results because both showedthat it is not plausible that the population proportion forthe category of interest is 0.50.B. The studies had very similar results because theP-values were very close to the significance level ineach study.OC. The studies had similar results because both showedthat 99% of the time. the results will fall within verv Two researchers conduct separate studies to test Ho: p=0.50against Ha: p0.50, each with n = 400. Researcher A gets 226observations in the category of interest, andp=6=226/400=0.565. Researcher B gets 225 in the category ofinterest, and p = 225/400=0.5625. Complete parts (a) through(d) below.a. Find the z-scores and P-values for both researchers.Researcher AZ =Researcher BZ =P-value =P-value =(Round the z-scores to two decimal places as needed. Roundthe P-values to three decimal places as needed.)The result in case A isThe result in case B isb. Using α = 0.01, indicate in each case whether the result is"statistically significant." Interpret.What does the statistical significance of the results above imply?OA. A difference in conclusions between two hypothesistests does not necessarily mean that the test with theresult that is deemed "statistically significant" is actuallymuch more significant than the test with the result thatis deemed "not statistically significant."OB. Hypothesis tests that produce similar P-values alwayshave the same conclusion.OC. A difference in conclusions between two hypothesistests always means that the test with the result that isdeemed "statistically significant" is much moresignificant than the test with the result that is deemed"not statistically significant."O D. Hypothesis tests that result in the same conclusion donot necessarily have the same P-value.

Question

Two researchers conduct separate studies to test Ho: p=0.50against Ha: p=0.50, each with n = 400. Researcher A gets 226observations in the category of interest, andp=226/400 =0.565. Researcher B gets 225 in the category ofinterest, and p = 225/400=0.5625. Complete parts (a) through(d) below.c. From (a) and (b), explain why important information is lost byreporting the result of a test as &#34;P-value ≤0.05&#34; versus&#34;P-value > 0.05,&#34; or as &#34;reject Ho&#34; versus &#34;Do not reject Hoinstead of reporting the actual P-value.OA. The actual P-value is more informative because theprobability of a Type I or Type Il error depends on thesize of the significance level, a.B. The actual P-value is more informative because aproportion of tests equal to the significance level, a, isexpected to reject the null hypothesis by chance even ifit is true.OC. The actual P-value is more informative because thestrength of the evidence varies based on the value.d. Find the 99% confidence interval for p for both researchers.Explain how this method shows that, in practical terms, the twostudies had very similar results.8.8The confidence interval for B is(Round to three decimal places as needed.)Explain why the two studies had very similar results.The confidence interval for A is (OA. The studies had similar results because both showedthat it is not plausible that the population proportion forthe category of interest is 0.50.B. The studies had very similar results because theP-values were very close to the significance level ineach study.OC. The studies had similar results because both showedthat 99% of the time. the results will fall within verv Two researchers conduct separate studies to test Ho: p=0.50against Ha: p0.50, each with n = 400. Researcher A gets 226observations in the category of interest, andp=6=226/400=0.565. Researcher B gets 225 in the category ofinterest, and p = 225/400=0.5625. Complete parts (a) through(d) below.a. Find the z-scores and P-values for both researchers.Researcher AZ =Researcher BZ =P-value =P-value =(Round the z-scores to two decimal places as needed. Roundthe P-values to three decimal places as needed.)The result in case A isThe result in case B isb. Using α = 0.01, indicate in each case whether the result is&#34;statistically significant.&#34; Interpret.What does the statistical significance of the results above imply?OA. A difference in conclusions between two hypothesistests does not necessarily mean that the test with theresult that is deemed &#34;statistically significant&#34; is actuallymuch more significant than the test with the result thatis deemed &#34;not statistically significant.&#34;OB. Hypothesis tests that produce similar P-values alwayshave the same conclusion.OC. A difference in conclusions between two hypothesistests always means that the test with the result that isdeemed &#34;statistically significant&#34; is much moresignificant than the test with the result that is deemed&#34;not statistically significant.&#34;O D. Hypothesis tests that result in the same conclusion donot necessarily have the same P-value.

Accepted Answer

Given Information:
Null Hypothesis H0:p=0.50
Alternative Hypothesis Ha:p≠0.50
Sample size n=400…