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 employed as teachers or teachi a= 0.01, is there enough evidence to reject the researcher's claim? Complete parts (a) through (e) below. H: p2 OD. Ho: p> H:p> 0.07 OE. Ho: p COF. Ho: pZ 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) (Round to two decimal places as needed.) complete your choice. O A. The rejection region is 2.33. O D. The rejection regions are z< and z>

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
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Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 23PPS
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An education researcher claims that at most 7% of working college students are employed as teachers
a= 0.01, is there enough evidence to reject the researcher's claim? Complete parts (a) through (e) below.
r teaching assistants. In a random sample of 500 working college students, 9% are emplayed as teachers or teaching assistants. At
H,: p2
H:p> 0.07
Hg:p#
O D. Ho: p>
O E. Ho: p
OF. Ho: p2
Hai ps
H:p=
H3:p<
(b) Find the critical value(s) and identify the rejection region(s).
Identify the critical value(s) for this test.
z, = 2.33
(Round to two decimal places as needed. Use a comma
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.
z= 1.75
(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.
Fail to reject the null hypothesis. There
enough evidence to support the researcher's claim.
is
Transcribed Image Text:An education researcher claims that at most 7% of working college students are employed as teachers a= 0.01, is there enough evidence to reject the researcher's claim? Complete parts (a) through (e) below. r teaching assistants. In a random sample of 500 working college students, 9% are emplayed as teachers or teaching assistants. At H,: p2 H:p> 0.07 Hg:p# O D. Ho: p> O E. Ho: p OF. Ho: p2 Hai ps H:p= H3:p< (b) Find the critical value(s) and identify the rejection region(s). Identify the critical value(s) for this test. z, = 2.33 (Round to two decimal places as needed. Use a comma 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. z= 1.75 (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. Fail to reject the null hypothesis. There enough evidence to support the researcher's claim. is
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