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

H0:		80
Ha:	<	80

A sample of 100 provided a sample mean of77.4. Thepopulationstandard deviation is known to be 15.

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

(b)Determine thep-value; and using= 0.063, test the above hypotheses.

Find thep-value. (Round your answer to four decimal places.)

p-value =

State your conclusion.

-Do not rejectH₀. There is insufficient evidence to conclude thatis less than 80.

-Do not rejectH₀. There is sufficient evidence to conclude thatis less than 80.

-RejectH₀. There is insufficient evidence to conclude thatis less than 80.

-RejectH₀. There is sufficient evidence to conclude thatis less than 80.

(c)Using the critical value approach and= 0.063, test the hypotheses.

Determine the critical value(s) for this test. (Round your answer(s) to two decimal places. If the test is one-tailed, enter NONE for the unused tail.)

test statistic

test statistic

State your conclusion.

-Do not rejectH₀. There is insufficient evidence to conclude thatis less than 80.

-Do not rejectH₀. There is sufficient evidence to conclude thatis less than 80.

-RejectH₀. There is insufficient evidence to conclude thatis less than 80.

-RejectH₀. There is sufficient evidence to conclude thatis less than 80.