A research center daims that at least 31% of adults in a certain country think that their taxes will be audited. In a random sample of 900 adults in that country in a recent year, 26% say they are concemed that their taxes will be audited. At a= 0.05, is there enough evidence to reject the center's claim? Complete parts (@) through (e) below. zd:H D. Ho: p2 031 H ps OE Ho:ps Hp OF H: pe Hp< 0.31 Hip> (b) Find the critical value(s) and identify the rejection region(s). Identify the critical value(s) for this test. Z0= -1.65 (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.) OA The rejection region is OD. The rejection region is 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 30PPS
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A research center claims that at least 31% of adults in a certain country think that their taxes will be audited. In a random sample of 900 adults in that country in a recent year, 26% say they are concerned that their taxes will be audited. At
a = 0.05, is there enough evidence to reject the center's claim? Complete parts (a) through (e) below.
H: ps
OE Ho: ps
Hp=
OF. Ho: p=
Hip
H:p2
D. Ho: pz 0.31
H:p< 0.31
H:p>
(b) Find the critical value(s) and identify the rejection region(s).
Identify the critical value(s) for this test.
Zo = -1.65
(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<
B. The rejection region isz< -1.64
O c. The rejection regions are z<
and z>
O D. The rejection region is z>
(c) Find the standardized test statistic z.
(Round to two decimal places as needed.)
Transcribed Image Text:A research center claims that at least 31% of adults in a certain country think that their taxes will be audited. In a random sample of 900 adults in that country in a recent year, 26% say they are concerned that their taxes will be audited. At a = 0.05, is there enough evidence to reject the center's claim? Complete parts (a) through (e) below. H: ps OE Ho: ps Hp= OF. Ho: p= Hip H:p2 D. Ho: pz 0.31 H:p< 0.31 H:p> (b) Find the critical value(s) and identify the rejection region(s). Identify the critical value(s) for this test. Zo = -1.65 (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< B. The rejection region isz< -1.64 O c. The rejection regions are z< and z> O D. The rejection region is z> (c) Find the standardized test statistic z. (Round to two decimal places as needed.)
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