You may need to use the appropriateappendix tableortechnologyto answer this question Consider the following hypothesis test H 0 25 H a 25 A sample of 40 provided a sample mean of26 8 The population standard deviation is 6 (a)Find the value of the test statistic (Round your answer to two decimal places ) (b)Find the p value (Round your answer to four decimal places ) p value 0 0287 (c)At 0 01, state your conclusion Reject H 0 There is sufficient evidence to conclude that 25 Reject H 0 There is insufficient evidence to conclude that 25 Do not reject H 0 There is sufficient evidence to conclude that 25 Do not reject H 0 There is insufficient evidence to conclude that 25 (d)State the critical values for the rejection rule (Round your answer to two decimal places If the test is one tailed, enter NONE for the unused tail )test statistictest statisticState your conclusion Reject H 0 There is sufficient evidence to conclude that 25 Reject H 0 There is insufficient evidence to conclude that 25 Do not reject H 0 There is sufficient evidence to conclude that 25 Do not reject H 0 There is insufficient evidence to conclude that 25

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You may need to use the appropriateappendix tableortechnologyto answer this question.Consider the following hypothesis test. H 0 :25 H a :> 25 A sample of

You may need to use the appropriateappendix tableortechnologyto answer this question.Consider the following hypothesis test.

H₀:25

H_a:> 25

A sample of 40 provided a sample mean of26.8. The population standard deviation is 6.

(a)Find the value of the test statistic. (Round your answer to two decimal places.)

(b)Find thep-value. (Round your answer to four decimal places.)p-value =0.0287

(c)At = 0.01, state your conclusion.

- RejectH₀. There is sufficient evidence to conclude that> 25.

- RejectH₀. There is insufficient evidence to conclude that> 25.

- Do not rejectH₀. There is sufficient evidence to conclude that> 25.

- Do not rejectH₀. There is insufficient evidence to conclude that> 25.

(d)State the critical values for the rejection rule. (Round your answer to two decimal places. If the test is one-tailed, enter NONE for the unused tail.)test statistictest statisticState your conclusion.

RejectH₀. There is sufficient evidence to conclude that> 25.RejectH₀. There is insufficient evidence to conclude that> 25. Do not rejectH₀. There is sufficient evidence to conclude that> 25.Do not rejectH₀. There is insufficient evidence to conclude that> 25.