Question

# Consider the following hypothesis test. H0: p = 0.30 Ha: p ≠ 0.30 A sample of...

Consider the following hypothesis test.

H0: p = 0.30

Ha: p ≠ 0.30

A sample of 500 provided a sample proportion

p = 0.275.

(a)

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

(b)

p-value =

(c)

At

α = 0.05,

Do not reject H0. There is sufficient evidence to conclude that p ≠ 0.30.Do not reject H0. There is insufficient evidence to conclude that p ≠ 0.30.    Reject H0. There is insufficient evidence to conclude that p ≠ 0.30.Reject H0. There is sufficient evidence to conclude that p ≠ 0.30.

(d)

What is the rejection rule using the critical value? (Round your answer to two decimal places. If the test is one-tailed, enter NONE for the unused tail.)

test statistic≤test statistic≥

Do not reject H0. There is sufficient evidence to conclude that p ≠ 0.30.Do not reject H0. There is insufficient evidence to conclude that p ≠ 0.30.    Reject H0. There is insufficient evidence to conclude that p ≠ 0.30.Reject H0. There is sufficient evidence to conclude that p ≠ 0.30.

The statistical software output for this problem is :

Test statistics = -1.22

P-value = 0.2225

Do not reject H0. There is insufficient evidence to conclude that p ≠ 0.30.

test statistic ≤ -1.96 test statistic ≥ 1.96

Do not reject H0. There is insufficient evidence to conclude that p ≠ 0.30.

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