Question

Test the hypothesis using the​ P-value approach. Be sure to verify the requirements of the test. Upper H 0​: pequals0.5 versus Upper H 1​: pgreater than0.5 nequals250​; xequals140​; alphaequals0.01 Click here to view page 1 of the table.LOADING...   Click here to view page 2 of the table.LOADING... Calculate the test​ statistic, z 0. z 0equals nothing ​(Round to two decimal places as​ needed.) Identify the​ P-value. ​P-valueequals nothing ​(Round to three decimal places as​ needed.) Choose the correct result of the hypothesis test for the​ P-value approach below. A. Do not reject the null​ hypothesis, because the​ P-value is greater than alpha. B. Reject the null​ hypothesis, because the​ P-value is less than alpha. C. Do not reject the null​ hypothesis, because the​ P-value is less than alpha. D. Reject the null​ hypothesis, because the​ P-value is greater than alpha.

Answer 1

sample success x   =		140
sample size          n    =		250
std error σp =√(p*(1-p)/n) =		0.0316
sample prop p̂ = x/n=140/250=		0.5600
z =(p̂-p)/σp=(0.56-0.5)/0.56=		1.90
p value                          =		0.029	(from excel:1*normsdist(-1.9)

since p value >alpha:

A. Do not reject the null​ hypothesis, because the​ P-value is greater than alpha.