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  3. consider the following hypothesis test. h0: ?

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

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Question

Basic Math

Consider the following hypothesis test.

H0: ? ? 25
Ha: ? > 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.

Answer & Explanation Solved by verified expert
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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