A First Course in Probability (10th Edition)
A First Course in Probability (10th Edition)
10th Edition
ISBN: 9780134753119
Author: Sheldon Ross
Publisher: PEARSON
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8.

Trials in an experiment with a polygraph include 97 results that include 24 cases of wrong results and 73 cases of correct results. Use a 0.05 significance level to test the claim that such polygraph results 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 the original claim. Use the P-value method. Use the normal distribution as an approximation of the binomial distribution.
Let p be the population proportion of correct polygraph results. Identify the null and alternative hypotheses. Choose the correct answer below.
А. Но: р%3D 0.80
H;: p<0.80
В. Но: р30.20
H;: p>0.20
Ос. На: р3D0.20
D. Ho: p = 0.20
H;: p#0.20
H;: p<0.20
О Е. Но: р30.80
H;: p#0.80
F. Hо р-0.80
H;: p>0.80
The test statistic is z =
(Round to two decimal places as needed.)
The P-value is
(Round to four decimal places as needed.)
Identify the conclusion about the null hypothesis and the final conclusion that addresses the original claim.
Họ. There
sufficient evidence to support the claim that the polygraph results are correct less than 80% of the time.
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Transcribed Image Text:Trials in an experiment with a polygraph include 97 results that include 24 cases of wrong results and 73 cases of correct results. Use a 0.05 significance level to test the claim that such polygraph results 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 the original claim. Use the P-value method. Use the normal distribution as an approximation of the binomial distribution. Let p be the population proportion of correct polygraph results. Identify the null and alternative hypotheses. Choose the correct answer below. А. Но: р%3D 0.80 H;: p<0.80 В. Но: р30.20 H;: p>0.20 Ос. На: р3D0.20 D. Ho: p = 0.20 H;: p#0.20 H;: p<0.20 О Е. Но: р30.80 H;: p#0.80 F. Hо р-0.80 H;: p>0.80 The test statistic is z = (Round to two decimal places as needed.) The P-value is (Round to four decimal places as needed.) Identify the conclusion about the null hypothesis and the final conclusion that addresses the original claim. Họ. There sufficient evidence to support the claim that the polygraph results are correct less than 80% of the time.
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