al researcher says that less than 79​% of adults in a certain country think that healthy children should be required to be vaccinated. In a random sample of 300 adults in that​ country, 77​% think that healthy children should be required to be vaccinated. At α=0.01​, is there enough evidence to support the​ researcher's claim? Complete parts​ (a) through​ (e) below.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.8: Probability
Problem 32E
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A medical researcher says that less than 79​% of adults in a certain country think that healthy children should be required to be vaccinated. In a random sample of 300 adults in that​ country, 77​% think that healthy children should be required to be vaccinated. At α=0.01​, is there enough evidence to support the​ researcher's claim? Complete parts​ (a) through​ (e) below.

A medical researcher says that less than 79% of adults in a certain country think that healthy children should be required to be vaccinated. In a random sample of 300 adults in that country,
77% think that healthy children should be required to be vaccinated. At a = 0.01, is there enough evidence to support 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.)
A. More than % of adults in the country think that healthy children should be required to be vaccinated.
В.
% of adults in the country think that healthy children should be required to be vaccinated.
C. The percentage of adults in the country who think that healthy children should be required to be vaccinated is not
%.
D. Less than
% of adults in the country think that healthy children should be required to be vaccinated.
Let p be the population proportion of successes, where a success is an adult in the country who thinks that healthy children should be required to be vaccinated. 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#
Haip2
Haip>
Ha:p=
O D. Ho: p=
O E. Ho: p>
O F. Ho: p2
Ha:p#
Ha:ps
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.)
%3D
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<
O C. The rejection region is z>
O D. The rejection regions are z<
and z>
(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
V enough evidence to
the researcher's claim.
Click to seloct vou ur ansuworle
OO DO
OI IO
Transcribed Image Text:A medical researcher says that less than 79% of adults in a certain country think that healthy children should be required to be vaccinated. In a random sample of 300 adults in that country, 77% think that healthy children should be required to be vaccinated. At a = 0.01, is there enough evidence to support 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.) A. More than % of adults in the country think that healthy children should be required to be vaccinated. В. % of adults in the country think that healthy children should be required to be vaccinated. C. The percentage of adults in the country who think that healthy children should be required to be vaccinated is not %. D. Less than % of adults in the country think that healthy children should be required to be vaccinated. Let p be the population proportion of successes, where a success is an adult in the country who thinks that healthy children should be required to be vaccinated. 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# Haip2 Haip> Ha:p= O D. Ho: p= O E. Ho: p> O F. Ho: p2 Ha:p# Ha:ps 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.) %3D 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< O C. The rejection region is z> O D. The rejection regions are z< and z> (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 V enough evidence to the researcher's claim. Click to seloct vou ur ansuworle OO DO OI IO
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