Question

Consider the following hypothesis test.

*H*_{0}: * p* = 0.20

*H*_{a}: * p* ≠ 0.20

A sample of 400 provided a sample proportion

*p* = 0.185.

(a)

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

(b)

What is the *p*-value? (Round your answer to four decimal
places.)

*p*-value =

(c)

At

*α* = 0.05,

what is your conclusion?

Do not reject *H*_{0}. There is sufficient
evidence to conclude that *p* ≠ 0.20.Reject
*H*_{0}. There is sufficient evidence to conclude
that *p* ≠ 0.20. Reject
*H*_{0}. There is insufficient evidence to conclude
that *p* ≠ 0.20.Do not reject *H*_{0}. There
is insufficient evidence to conclude that *p* ≠ 0.20.

(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≥

What is your conclusion?

Do not reject *H*_{0}. There is sufficient
evidence to conclude that *p* ≠ 0.20.Reject
*H*_{0}. There is sufficient evidence to conclude
that *p* ≠ 0.20. Reject
*H*_{0}. There is insufficient evidence to conclude
that *p* ≠ 0.20.Do not reject *H*_{0}. There
is insufficient evidence to conclude that *p* ≠ 0.20.

Answer #1

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(b)
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p-value =
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