Consider the following hypothesis test. Ho: μ = 100 H₂: μ = 100 A sample of 65 is used. Identify the p-value and state your conclusion for each of the following sample results. Use α = 0.05. (a) x = 104 and s = 11.6 Find the value of the test statistic. (Round your answer to three decimal places.) Find the p-value. (Round your answer to four decimal places.) p-value = State your conclusion. O Do not reject Ho. There is sufficient evidence in favor of the alternative. O Do not reject Ho. There is insufficient evidence in favor of the alternative. O Reject Ho. There is sufficient evidence in favor of the alternative. O Reject Ho. There is insufficient evidence in favor of the alternative.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.5: Comparing Sets Of Data
Problem 14PPS
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Consider the following hypothesis test.
Ho: μ = 100
H₂: μ = 100
A sample of 65 is used. Identify the p-value and state your conclusion for each of the following sample results. Use a = 0.05.
(a) x = 104 and s = 11.6
Find the value of the test statistic. (Round your answer to three decimal places.)
Find the p-value. (Round your answer to four decimal places.)
p-value
State your conclusion.
Do not reject Ho. There is sufficient evidence in favor of the alternative.
Do not reject Ho. There is insufficient evidence in favor of the alternative.
Reject Ho. There is sufficient evidence in favor of the alternative.
Reject Ho. There is insufficient evidence in favor of the alternative.
Consider the following hypothesis test.
Ho: μ = 100
H₂: μ< 100
(b) x = 96.5 and s = 11.0
Find the value of the test statistic. (Round your answer to three decimal places.)
Find the p-value. (Round your answer to four decimal places.)
p-value
=
State your conclusion.
Do not reject Ho. There is sufficient evidence in favor of the alternative.
Do not reject Ho. There is insufficient evidence in favor of the alternative.
Reject Ho. There is sufficient evidence in favor of the alternative.
Transcribed Image Text:Consider the following hypothesis test. Ho: μ = 100 H₂: μ = 100 A sample of 65 is used. Identify the p-value and state your conclusion for each of the following sample results. Use a = 0.05. (a) x = 104 and s = 11.6 Find the value of the test statistic. (Round your answer to three decimal places.) Find the p-value. (Round your answer to four decimal places.) p-value State your conclusion. Do not reject Ho. There is sufficient evidence in favor of the alternative. Do not reject Ho. There is insufficient evidence in favor of the alternative. Reject Ho. There is sufficient evidence in favor of the alternative. Reject Ho. There is insufficient evidence in favor of the alternative. Consider the following hypothesis test. Ho: μ = 100 H₂: μ< 100 (b) x = 96.5 and s = 11.0 Find the value of the test statistic. (Round your answer to three decimal places.) Find the p-value. (Round your answer to four decimal places.) p-value = State your conclusion. Do not reject Ho. There is sufficient evidence in favor of the alternative. Do not reject Ho. There is insufficient evidence in favor of the alternative. Reject Ho. There is sufficient evidence in favor of the alternative.
Consider the following hypothesis test.
H₁: μ = 100
H₂:μ > 100
a'
(c) x = 101 and s = 10.6
Find the value of the test statistic. (Round your answer to three decimal places.)
Find the p-value. (Round your answer to four decimal places.)
p-value =
State your conclusion.
Do not reject Ho. There is sufficient evidence in favor of the alternative.
Do not reject Ho. There is insufficient evidence in favor of the alternative.
Reject Ho. There is sufficient evidence in favor of the alternative.
Reject Ho. There is insufficient evidence in favor of the alternative.
Transcribed Image Text:Consider the following hypothesis test. H₁: μ = 100 H₂:μ > 100 a' (c) x = 101 and s = 10.6 Find the value of the test statistic. (Round your answer to three decimal places.) Find the p-value. (Round your answer to four decimal places.) p-value = State your conclusion. Do not reject Ho. There is sufficient evidence in favor of the alternative. Do not reject Ho. There is insufficient evidence in favor of the alternative. Reject Ho. There is sufficient evidence in favor of the alternative. Reject Ho. There is insufficient evidence in favor of the alternative.
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