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Consider the following hypothesis test.

H₀: 50

H_a: < 50

A sample of 36 is used. Identify the p-value and state your conclusion for each of the following sample results. Use

= 0.01.

(a) x = 49 and s = 5.3

Find the value of the test statistic. (Round your answer to three decimal places.)....?

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

p-value = ....?

State your conclusion.

Reject H₀. There is insufficient evidence to conclude that < 50.

Do not reject H₀. There is insufficient evidence to conclude that < 50.

Reject H₀. There is sufficient evidence to conclude that < 50.

Do not reject H₀. There is sufficient evidence to conclude that < 50.

(b) x = 48 and s = 4.6

Find the value of the test statistic. (Round your answer to three decimal places.)...?

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

p-value =...?

State your conclusion.

Reject H₀. There is insufficient evidence to conclude that < 50.

Do not reject H₀. There is insufficient evidence to conclude that < 50.

Reject H₀. There is sufficient evidence to conclude that < 50.

Do not reject H₀. There is sufficient evidence to conclude that < 50.

(c) x = 51 and s = 5.0

Find the value of the test statistic.....?

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

p-value = ...?

State your conclusion.

Reject H₀. There is insufficient evidence to conclude that < 50.

Do not reject H₀. There is insufficient evidence to conclude that < 50.

Reject H₀. There is sufficient evidence to conclude that < 50.

Do not reject H₀. There is sufficient evidence to conclude that < 50.