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Consider the following hypothesis test. H 0 : p 0.75 H a : p < 0.75 A sample of300items was selected. Compute the p -value

Consider the following hypothesis test.

H0:p0.75

Ha:p< 0.75

A sample of300items was selected. Compute thep-value and state your conclusion for each of the following sample results. Use= 0.05.

(a)

p=0.68

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

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

p-value =

State your conclusion.

Do not rejectH0. There is sufficient evidence to conclude thatp< 0.75.

Do not rejectH0. There is insufficient evidence to conclude thatp< 0.75.

RejectH0. There is sufficient evidence to conclude thatp< 0.75.

RejectH0. There is insufficient evidence to conclude thatp< 0.75.

(b)

p=0.71

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

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

p-value =

State your conclusion.

Do not rejectH0. There is sufficient evidence to conclude thatp< 0.75.

Do not rejectH0. There is insufficient evidence to conclude thatp< 0.75.

RejectH0. There is sufficient evidence to conclude thatp< 0.75.

RejectH0. There is insufficient evidence to conclude thatp< 0.75.

(c)

p= 0.70

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

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

p-value =

State your conclusion.

Do not rejectH0. There is sufficient evidence to conclude thatp< 0.75.

Do not rejectH0. There is insufficient evidence to conclude thatp< 0.75.

RejectH0. There is sufficient evidence to conclude thatp< 0.75.

RejectH0. There is insufficient evidence to conclude thatp< 0.75.

(d)

p=0.76

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

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

p-value =

State the conclusion.

Do not rejectH0. There is sufficient evidence to conclude thatp< 0.75.

Do not rejectH0. There is insufficient evidence to conclude thatp< 0.75.

RejectH0. There is sufficient evidence to conclude thatp< 0.75.

RejectH0. There is insufficient evidence to conclude thatp< 0.75.

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