Question
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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