Consider the following hypothesis test.
H0: μ ≥ 20
Ha: μ < 20
A sample of 50 provided a sample mean of 19.3. The population standard deviation is 2.
(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 =
(c)
Using
α = 0.05,
state your conclusion.
Reject H0. There is sufficient evidence to conclude that μ < 20.Reject H0. There is insufficient evidence to conclude that μ < 20. Do not reject H0. There is sufficient evidence to conclude that μ < 20.Do not reject H0. There is insufficient evidence to conclude that μ < 20.
(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 statistic≤test statistic≥
State your conclusion.
Reject H0. There is sufficient evidence to conclude that μ < 20.Reject H0. There is insufficient evidence to conclude that μ < 20. Do not reject H0. There is sufficient evidence to conclude that μ < 20.Do not reject H0. There is insufficient evidence to conclude that μ < 20.
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