17 study a salesperson Project c Secure htt psti/wwwwebassign.net/webistudent/As

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17 study a salesperson Project c Secure htt psti/wwwwebassign.net/webistudent/Assignment-Responses/last?dop-159ge575 Apps Howdy o theHus Transport... First state Bank l A.- wols Fargo Perso.. amveLINN inn ce-- E WebAssign Loa IN Two researchers conduct separate studies to test Ho: P 0.50 against h,: -0.50, each with n 400, Researcher A has 220 observations in the category of interest, and PA 220/400 0.550. Researcher B has 219 in the category of interest, and Pa 219/400 0,5475. (a) For researcher A, what is the test statistic? Use 2 decimal places. p-value? Use 3 decimal places, (b) For researcher B, what is the test statistic? Use 2 decimal places. p value? Use 3 decimal places, (c) Using a 0.05, are the results statistically significa nt? Only researcher A's result is statistically signincant. Only researcher B's result is statistically significant. The results of both researchers are statistically significant. Neither of the researchers' results are statistically signncant. (d)Are the results of the two researchers direrent from one another in a pr ractical sense? What does this imply? Yes. That is why it is important to report decisions only Yes. That is why it is important to report p-values and not just decisions No. That is why it is important to report decisions only. No. That is why it is to report Prvalues and not just decisions. (e) using 3 decimal places, what is the 95% confidence interval for P for Researcher A?

Explanation / Answer

a) here std eror for A =(p(1-p)/n)1/2 =0.025

hence test stat for A=(phat-p)/std error =(0.55-0.5)/0.025 =2

p value =0.0455

b)test stat for B= (0.5475-0.5)/0.025=1.9

p value =0.0574

c)only reaseasrch A's result is significant

d)No. that is why important to report p values...

e)for 95% CI, z=1.96

and std error =(p(1-p)/n)1/2

hence confidence interval of A =point estimate -/+ z*std error =0.5012 ; 0.5988

confidence interval of B =point estimate -/+ z*std error =0.4987 ; 0.5963

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