An education researcher claims that 57% of college students work year-round. In a random sample of 600 college students, 342 say they work year-round. At a = 0.05, is there enough evidence to reject the researcher's claim? Complete parts (a) through (e) below. (a) Identify the claim and state Ho and Ha. Identify the claim in this scenario. Select the correct choice below and fill in the answer box to complete your choice. (Type an integer or a decimal. Do not round.) OA. % of college students work year-round. O B. At most % of college students work year-round. O C. The percentage of college students who work year-round is not O D. At least % of college students work year-round. Let p be the population proportion of successes, where a success is a college student who works year-round. State H, and Ha. Select the correct choice below and fill in the answer boxes to complete your choice. (Round to two decimal places as needed.) O A. Ho: P> O B. Ho: ps OC. Ho: P= Ha: ps Ha: p> Ha:p = O D. Ho:p< O E. Ho:Pz OF. Ho:p= Ha: p2 Ha:p< H3:p= (b) Find the critical value(s) and identify the rejection region(s). Identify the critical value(s) for this test. Zo = (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 region is (c) Find the standardized test statistic z. (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. the null hypothesis. There enough evidence to the researcher's claim.

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An education researcher claims that 57% of college students work year-round. In a random sample of 600 college students, 342 say they work year-round. At
a = 0.05, is there enough evidence to reject the researcher's claim? Complete parts (a) through (e) below.
(a) Identify the claim and state Ho and H3.
Identify the claim in this scenario. Select the correct choice below and fill in the answer box to complete your choice.
(Type an integer or a decimal. Do not round.)
OA.
% of college students work year-round.
O B. At most
% of college students work year-round.
O C. The percentage of college students who work year-round is not
O D. At least
% of college students work year-round.
Let p be the population proportion of successes, where a success is a college student who works year-round. State H, and Ha. Select the correct
choice below and fill in the answer boxes to complete your choice.
(Round to two decimal places as needed.)
O A. Ho: p>
O B. Ho: ps
O C. Ho: p=
Ha: ps
Hại p>
H3:p =
O D. Ho:P<
OE.
Họ: p2
OF. Ho:P=
Hạ: p2
Ha:p<
(b) Find the critical value(s) and identify the rejection region(s).
Identify the critical value(s) for this test.
Zo =U
(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 region is
<z<
OC. The rejection region is z <
O D. The rejection regions are z<
and z>
(c) Find the standardized test statistic z.
z =
(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.
the null hypothesis. There
enough evidence to
the researcher's claim.
OO OO
Transcribed Image Text:An education researcher claims that 57% of college students work year-round. In a random sample of 600 college students, 342 say they work year-round. At a = 0.05, is there enough evidence to reject the researcher's claim? Complete parts (a) through (e) below. (a) Identify the claim and state Ho and H3. Identify the claim in this scenario. Select the correct choice below and fill in the answer box to complete your choice. (Type an integer or a decimal. Do not round.) OA. % of college students work year-round. O B. At most % of college students work year-round. O C. The percentage of college students who work year-round is not O D. At least % of college students work year-round. Let p be the population proportion of successes, where a success is a college student who works year-round. State H, and Ha. Select the correct choice below and fill in the answer boxes to complete your choice. (Round to two decimal places as needed.) O A. Ho: p> O B. Ho: ps O C. Ho: p= Ha: ps Hại p> H3:p = O D. Ho:P< OE. Họ: p2 OF. Ho:P= Hạ: p2 Ha:p< (b) Find the critical value(s) and identify the rejection region(s). Identify the critical value(s) for this test. Zo =U (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 region is <z< OC. The rejection region is z < O D. The rejection regions are z< and z> (c) Find the standardized test statistic z. z = (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. the null hypothesis. There enough evidence to the researcher's claim. OO OO
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