Find the p-value and corresponding statistical conclusion for each of these situ
ID: 3232234 • Letter: F
Question
Find the p-value and corresponding statistical conclusion for each of these situations. Be sure to take into account directionality of the test.
A) Ho: 12
Ha: > 12
n = 12
= 0.10
t-statistic = 1.35
p-value = ?
Note:Round the answer to four decimal places
The statistical decision is: ?
B) Ho: 59
Ha: < 59
n = 12
= 0.10
t-statistic = -2.51
p-value = ?
Note:Round the answer to four decimal places
The statistical decision is: ?
C) Ho: = 127
Ha: 127.
n = 17
The significance level is: 0.10
t-statistic = 2.13
p-value = ?
Note:Round the answer to four decimal places
The statistical decision is: ?
D) Ho: 801
Ha: > 801
n = 8
Significance level = 0.02
t-statistic = 2.48
p-value = ?
Note:Round the answer to four decimal places
The statistical decision is: ?
E) Ho: 2275
Ha: < 2275
n = 9
= 0.05
t-statistic = -2.57
p-value = ?
Note:Round the answer to four decimal places
The statistical decision is: ?
F) Ho: = 3500
Ha: 3500.
n = 26
= 0.025
t-statistic = -1.82
p-value = ?
Note:Round the answer to four decimal places
The statistical decision is ?
Explanation / Answer
A) Ho: 12
Ha: > 12
n = 12
= 0.10
t-statistic = 1.35
p-value = ?
Degree of freedom: df=n-1=11
The test is right tailed so p-value of the test is 0.1021
The statistical decision is: Since p-value is greater than 0.10 so we fail to reject the null hypothesis.
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B) Ho: 59
Ha: < 59
n = 12
= 0.10
t-statistic = -2.51
p-value = ?
Note:Round the answer to four decimal places
The statistical decision is: ?
Degree of freedom: df=n-1=11
The test is left tailed so p-value of the test is 0.0145
The statistical decision is: Since p-value is less than 0.10 so we reject the null hypothesis.
-------------------------------------------------
C) Ho: = 127
Ha: 127.
n = 17
The significance level is: 0.10
t-statistic = 2.13
p-value = ?
Note:Round the answer to four decimal places
The statistical decision is: ?
Degree of freedom: df=n-1=16
The test is two tailed so p-value of the test is 0.0490
The statistical decision is: Since p-value is less than 0.10 so we reject the null hypothesis.
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D) Ho: 801
Ha: > 801
n = 8
Significance level = 0.02
t-statistic = 2.48
p-value = ?
Note:Round the answer to four decimal places
The statistical decision is: ?
Degree of freedom: df=n-1=7
The test is right tailed so p-value of the test is 0.0211
The statistical decision is: Since p-value is greater than 0.02 so we fail to reject the null hypothesis.
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