trials in an experiment with a polygraph included 98 results that included 24 ca

Question

trials in an experiment with a polygraph included 98 results that included 24 cases of wrong results and 74 cases of correct results. Use a 0.05 significant level to test the claim that such polygraph tests are correct less than 80% of the time identify the null hypothesis, alternative hypothesis, test statistic, p-value,conclusion about the null hypothesis and final conclusion that addresses original claim use the P Value method use the nominal distribution as the approximate of the binomial distributation.

Explanation / Answer

pcap = 1- 24/98 = .756
p = .80

Z = (.756-.80)/sqrt( .756*.244/98) = -1.10142

Null hypothesis , Ho: Mu >= .80
Alternate hypothesis, Ha: Mu<.80

p value = .1562

Now, .1562>.05 therefore we do not rejecct the null hypothesis.

Therefore, claim that such polygraph tests are correct less than 80% of the time is incorrect

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