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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