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Test the hypothesis using the P-value approach. Be sure to verify the requiremen

ID: 3248453 • Letter: T

Question

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

H0:p=0.5 versus H1:p>0.5

n=250; x=130; =0.05

Calculate the test statistic, z0.

z0= ___

(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 P-value approach below.

A.Do not reject the null hypothesis, because the P-value is greaterthan .

B. Reject the null hypothesis, because the P-value is greaterthan .

C. Reject the null hypothesis, because the P-value is less than .

D. Do not reject the null hypothesis, because the P-value is less than .

Explanation / Answer

here p=0.5 ; n=250

hence std error =(p(1-p)/n)1/2 =0.0316

phat=130/250=0.52

hence z0= (phat-p)/std error =(0.52-0.50)/0.0316=0.63

P-value= 0.264

A.Do not reject the null hypothesis, because the P-value is greaterthan

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