Consider the following hypothesis test. H0: ? ? 25 Ha: ? > 25 A sample of 40 provided...

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Consider the following hypothesis test.
H₀: ? ? 25
H_a: ? > 25
A sample of 40 provided a sample mean of 26.8. The populationstandard deviation is 6.
(a)
Find the value of the test statistic. (Round your answer to twodecimal places.)
(b)
Find the p-value. (Round your answer to four decimalplaces.)
p-value =
(c)
At
? = 0.01,
state your conclusion.
Reject H₀. There is sufficient evidence toconclude that ? > 25.Reject H₀.There is insufficient evidence to conclude that ? >25. Do not rejectH₀. There is sufficient evidence to concludethat ? > 25.Do not reject H₀. Thereis insufficient evidence to conclude that ? > 25.
(d)
State the critical values for the rejection rule. (Round youranswer to two decimal places. If the test is one-tailed, enter NONEfor the unused tail.)
test statistic?test statistic?
State your conclusion.
Reject H₀. There is sufficient evidence toconclude that ? > 25.Reject H₀.There is insufficient evidence to conclude that ? >25. Do not rejectH₀. There is sufficient evidence to concludethat ? > 25.Do not reject H₀. Thereis insufficient evidence to conclude that ? > 25.

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4.5 Ratings (780 Votes)

a The value of test statistic here is computed asTherefore 190 is the test statistic value here rounded to 2 decimal places b As this is a one tailed test an upper See Answer

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