An education researcher claims that at most 3% of working college students are employed as teachers or teaching assistants. In a random sample of 400 working college students, 5% are employed as teachers or teaching assistants. At a = 0.10, is there enough evidence to reject the researcher's claim? Complete parts (a) through (e) below. Ha: p Ha p< Ha p>|0.03| (b) Find the critical value(s) and identify the rejection region(s). Identify the critical value(s) for this test Z0 =-128 (Round to two decimal places as needed. Use a comma to separate answers as needed.) Identify the rejection region(s). Select the correct choice below and fill in the answer box(es) to complete your choice. (Round to two decimal places as needed.) O A. The rejection region is Oc. The rejection region is z< O D. The rejection region isz>-1.28 (C) Find the standardized test statistic z. z= 2.34 (Round to two decimal places as needed.) (d) Decide whether reject or fail to reject the null hypothesis and (e) interpret the decision in the context of the original claim.

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An education researcher claims that at most 3% of working college students are employed as teachers or teaching assistants. In a random sample of 400 working college students, 5% are employed as teachers or teaching assistants. At a = 0.10, is there enough
evidence to reject the researcher's claim? Complete parts (a) through (e) below.
Ha: p4
Ha: p<
Ha: p>|0.03
(b) Find the critical value(s) and identify the rejection region(s).
Identify the critical value(s) for this test.
Zo = - 1.28
(Round to two decimal places as needed. Use a comma to separate answers as needed.)
Identify the rejection region(s). Select the correct choice below and fill in the answer box(es) to complete your choice.
(Round to two decimal places as needed.)
O A. The rejection region is
<Z<
O B. The rejection regions are z<
and z>
OC. The rejection region is z<
O D. The rejection region is z> - 1.28
(c) Find the standardized test statistic z.
z= 2.34
(Round to two decimal places as needed.)
(d) Decide whether to reject or fail to reject the null hypothesis and (e) interpret the decision in the context of the original claim.
Fail to reject the null hypothesis. There
is
enough evidence to support the researcher's claim.
Transcribed Image Text:An education researcher claims that at most 3% of working college students are employed as teachers or teaching assistants. In a random sample of 400 working college students, 5% are employed as teachers or teaching assistants. At a = 0.10, is there enough evidence to reject the researcher's claim? Complete parts (a) through (e) below. Ha: p4 Ha: p< Ha: p>|0.03 (b) Find the critical value(s) and identify the rejection region(s). Identify the critical value(s) for this test. Zo = - 1.28 (Round to two decimal places as needed. Use a comma to separate answers as needed.) Identify the rejection region(s). Select the correct choice below and fill in the answer box(es) to complete your choice. (Round to two decimal places as needed.) O A. The rejection region is <Z< O B. The rejection regions are z< and z> OC. The rejection region is z< O D. The rejection region is z> - 1.28 (c) Find the standardized test statistic z. z= 2.34 (Round to two decimal places as needed.) (d) Decide whether to reject or fail to reject the null hypothesis and (e) interpret the decision in the context of the original claim. Fail to reject the null hypothesis. There is enough evidence to support the researcher's claim.
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