conclusion about the null hypothesis, and final conclusion that addresses the original claim. Use the P-value e the population proportion of correct polygraph results. Identify the null and alternative hypotheses. Choose Họi p=0.20 H: pr0.20 Họi p=0.80 H: p<0.80 Họi p=0.20 H: p<0.20 t statistic is z (Round to two decimal places as needed.)

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter8: Sequences, Series, And Probability
Section8.7: Probability
Problem 58E: What is meant by the sample space of an experiment?
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Trials in an experiment with a polygraph include 98 results that include 24 cases of wrong results and 74 cases of correct results. Use a 0.01 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.
О А. Но: р%3D0.20
H1: p#0.20
В. Но: р %3D 0.8О
H;: p#0.80
Ос. Но: р%3D0.80
H1: p<0.80
D. Ho: р %3D0.20
H;: p>0.20
ОЕ. Но: р%3D0.20
H1: p<0.20
O F. Ho: p= 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.
V Ho. There
v sufficient evidence to support the claim that the polygraph results are correct less than 80% of the time.
Transcribed Image Text:Trials in an experiment with a polygraph include 98 results that include 24 cases of wrong results and 74 cases of correct results. Use a 0.01 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. О А. Но: р%3D0.20 H1: p#0.20 В. Но: р %3D 0.8О H;: p#0.80 Ос. Но: р%3D0.80 H1: p<0.80 D. Ho: р %3D0.20 H;: p>0.20 ОЕ. Но: р%3D0.20 H1: p<0.20 O F. Ho: p= 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. V Ho. There v sufficient evidence to support the claim that the polygraph results are correct less than 80% of the time.
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