An education researcher claims that at most 7% of working college students are employed as teachers or teaching assistants. In a random sample of 500 working college students, 9% are emplayed as teachers or teaching assistants. At a = 0.01, is there enough evidence to reject the researcher's claim? Complete parts (a) through (e) below. choice. (Round to two decimal places as needed.) O A. Ho: p YB. Ho: ps 0.07 OC. Họ: p= Hg: p2 Hip> 0.07 O D. Ho: P> OE Ho: p OF Ho: pz H p< H ps H p= (b) Find the critical value(s) and identify the rejection region(s). Identify the critical value(s) for this test. Z0 = 2.33 (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 2.33 O D. The rejection regions are z< and z>- (c) Find the standardized test statistic z. (Round to two decimal places as needed.)

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 42PFA
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An education researcher claims that at most 7% of working college students are employed as teachers or teaching assistants. In a random sample of 500 working college students, 9% are emplayed as teachers or teaching assistants. At
a = 0.01, is there enough evidence to reject the researcher's claim? Complete parts (a) through (e) below.
choice.
(Round to two decimal places as needed.)
O A. Ho: p
YB. Ho: ps 0.07
OC. Họ: p=
H: p2
H: p> 0.07
O D. Ho: p>
OE Ho: p
OF Ho: p2
H ps
H: p=
H:p<
(b) Find the critical value(s) and identify the rejection region(s).
Identify the critical value(s) for this test.
Zo = 2.33
(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
Yc. The rejection region is z> 2.33.
O D. The rejection regions are z<
and z>-
(c) Find the standardized test statistic z.
(Round to two decimal places as needed.)
Transcribed Image Text:An education researcher claims that at most 7% of working college students are employed as teachers or teaching assistants. In a random sample of 500 working college students, 9% are emplayed as teachers or teaching assistants. At a = 0.01, is there enough evidence to reject the researcher's claim? Complete parts (a) through (e) below. choice. (Round to two decimal places as needed.) O A. Ho: p YB. Ho: ps 0.07 OC. Họ: p= H: p2 H: p> 0.07 O D. Ho: p> OE Ho: p OF Ho: p2 H ps H: p= H:p< (b) Find the critical value(s) and identify the rejection region(s). Identify the critical value(s) for this test. Zo = 2.33 (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 Yc. The rejection region is z> 2.33. O D. The rejection regions are z< and z>- (c) Find the standardized test statistic z. (Round to two decimal places as needed.)
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