Question

# Test the hypothesis using the​ P-value approach. Be sure to verify the requirements of the test....

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.

 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.

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