Trials in an experiment with a polygraph include 97 results that include 22 cases of wrong results and 75 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. Question content area bottom Part 1 Let p be the population proportion of correct polygraph results. Identify the null and alternative hypotheses. Choose the correct answer below. A. H0: p=0.20 H1: p>0.20 B. H0: p=0.20 H1: p<0.20 C. H0: p=0.80 H1: p>0.80 D. H0: p=0.80 H1: p<0.80 E. H0: p=0.80 H1: p≠0.80 F. H0: p=0.20 H1: p≠0.20 Part 2 The test statistic is z=enter your response here. (Round to two decimal places as needed.) Part 3 The P-value is enter your response here. (Round to four decimal places as needed.) Part 4 Identify the conclusion about the null hypothesis and the final conclusion that addresses the original claim. ▼ Reject Fail to reject H0. There ▼ is is not sufficient evidence to support the claim that the polygraph results are correct less than 80% of the time.
Trials in an experiment with a polygraph include 97 results that include 22 cases of wrong results and 75 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. Question content area bottom Part 1 Let p be the population proportion of correct polygraph results. Identify the null and alternative hypotheses. Choose the correct answer below. A. H0: p=0.20 H1: p>0.20 B. H0: p=0.20 H1: p<0.20 C. H0: p=0.80 H1: p>0.80 D. H0: p=0.80 H1: p<0.80 E. H0: p=0.80 H1: p≠0.80 F. H0: p=0.20 H1: p≠0.20 Part 2 The test statistic is z=enter your response here. (Round to two decimal places as needed.) Part 3 The P-value is enter your response here. (Round to four decimal places as needed.) Part 4 Identify the conclusion about the null hypothesis and the final conclusion that addresses the original claim. ▼ Reject Fail to reject H0. There ▼ is is not sufficient evidence to support the claim that the polygraph results are correct less than 80% of the time.
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 30PPS
Related questions
Question
Trials in an experiment with a polygraph include
normal distribution as an approximation of the binomial distribution.
97
results that include
22
cases of wrong results and
75
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 Question content area bottom
Part 1
Let p be the population proportion of correct polygraph results. Identify the null and alternative hypotheses. Choose the correct answer below.
H0:
p=0.20
H1:
p>0.20
H0:
p=0.20
H1:
p<0.20
H0:
p=0.80
H1:
p>0.80
H0:
p=0.80
H1:
p<0.80
H0:
p=0.80
H1:
p≠0.80
H0:
p=0.20
H1:
p≠0.20
Part 2
The test statistic is
z=enter your response here.
(Round to two decimal places as needed.)Part 3
The P-value is
enter your response here.
(Round to four decimal places as needed.)Part 4
Identify the conclusion about the null hypothesis and the final conclusion that addresses the original claim.
▼
Reject
Fail to reject
H0.
There
▼
is
is not
80%
of the time.Expert Solution
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