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 0.01 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.
A. H0: p = 0.80
H1: p > 0.80
B. H0: p = 0.20
H1: p ≠ 0.20
C. H0: p = 0.80
H1: p < 0.80
D. H0: p = 0.20
H1: p > 0.20
E. H0: p = 0.80
H1: p ≠ 0.80
F. H0: p = 0.20
H1: p < 0.20
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.
(1) -----------H0. There (2)------------ sufficient evidence to
support the claim that the polygraph results are correct less than
80% of the time.
(1) Fail to reject
Reject
(2) is not
C. H0: p = 0.80
H1: p < 0.80
The test statistic is z = -0.66
The P-value is 0.2546.
Fail to reject
is not
Trials in an experiment with a polygraph include 97 results that include 22 cases of wrong...
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 nuill hypothesis, and final conclusion that addresses the original claim. Use the P-value method. Use the normal distribution as an approximation of the binomial...
Trials in an experiment with a polygraph include 97 results that include 23 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...
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...
Trials in an experiment with a polygraph include 97 97 results that include 23 23 cases of wrong results and 74 74 cases of correct results. Use a 0.01 0.01 significance level to test the claim that such polygraph results are correct less than 80 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...
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