Consider the following hypothesis test. Ho: #270 H₂: # < 70 A sample of 100 is used and the population standard deviation is 12. Compute the p-value and state your conclusion for each of the following sample results. Use a -0.01. (a) x= 68.5 Find the value of the test statistic. 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 to conclude that μ< 70. O Do not reject Ho. There is insufficient evidence to conclude that μ< 70. O Reject Ho. There is insufficient evidence to conclude that μ < 70. O Reject Ho. There is sufficient evidence to conclude that μ< 70. Fro

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 13PPS
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Consider the following hypothesis test.
Ho: μ ≥ 70
H₂: μ< 70
A sample of 100 is used and the population standard deviation is 12. Compute the p-value and state your conclusion for each of the following sample results. Use a = 0.01.
(a) x = 68.5
Find the value of the test statistic.
Find the p-value. (Round your answer to four decimal places.)
p-value
T
State your conclusion.
O Do not reject H. There is sufficient evidence to conclude that μ < 70.
O Do not reject Ho. There is insufficient evidence to conclude that u < 70.
O Reject H. There is insufficient evidence to conclude that μ< 70.
O Reject Ho. There is sufficient evidence to conclude that μ< 70.
(b) x = 57
Find the value of the test statistic.
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 to conclude that u < 70.
O Do not reject Ho. There is insufficient evidence to conclude that μ< 70.
O Reject Ho. There is insufficient evidence to conclude that μ< 70.
LAP
Ć
53
1
Activate Windows
Go to Settings to activate
-10°℃
^ 4))
Transcribed Image Text:Consider the following hypothesis test. Ho: μ ≥ 70 H₂: μ< 70 A sample of 100 is used and the population standard deviation is 12. Compute the p-value and state your conclusion for each of the following sample results. Use a = 0.01. (a) x = 68.5 Find the value of the test statistic. Find the p-value. (Round your answer to four decimal places.) p-value T State your conclusion. O Do not reject H. There is sufficient evidence to conclude that μ < 70. O Do not reject Ho. There is insufficient evidence to conclude that u < 70. O Reject H. There is insufficient evidence to conclude that μ< 70. O Reject Ho. There is sufficient evidence to conclude that μ< 70. (b) x = 57 Find the value of the test statistic. 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 to conclude that u < 70. O Do not reject Ho. There is insufficient evidence to conclude that μ< 70. O Reject Ho. There is insufficient evidence to conclude that μ< 70. LAP Ć 53 1 Activate Windows Go to Settings to activate -10°℃ ^ 4))
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