Test the hypothesis using the P-value approach. Be sure to verify the requirements of the test. Upper H 0: p=0.6 versus Upper H 1: p greater than0.6 n=100; x=65, alpha=0.1 Is np 0 left parenthesis 1 minus p 0 right parenthesis greater than or equals10?
Given : n=100 , X=65 ,
The estimate of the sample proportion is ,
Hypothesis : VS
Now , . Therefore , it satisfy the requirements for testing the hypothesis that p>0.6
The test statistic is ,
The p-value is ,
p-value=
; From standard normal distribution table
Decision: Here , p-value=0.1539 >
Therefore , fail to reject Ho.
Conclusion : Hence , there is sufficient evidence to support the claim that the p>0.6
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