A medical researcher says that less than 77% of adults in a certain country think that healthy children should be required to be vaccinated. In a random sample of 400 adults in that country, 73% think that healthy children should be required to be vaccinated. At α=0.05, is there enough evidence to support the researcher's claim

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Chapter11: Data Analysis And Probability
Section11.4: Collecting Data
Problem 4E
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A medical researcher says that less than 77% of adults in a certain country think that healthy children should be required to be vaccinated. In a random sample of 400 adults in that country, 73% think that healthy children should be required to be vaccinated. At α=0.05, is there enough evidence to support the researcher's claim? Complete parts (a) through (e) below.
(a) Identify the claim and state H, and H,
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.)
O A. Less than
% of adults in the country think that healthy children should be required to be
vaccinated.
O B. More than
% of adults in the country think that healthy children should be required to be
vaccinated.
O C. % of adults in the country think that healthy children should be required to be
vaccinated,
O D. The percentage of adults in the country who think that healthy children should be required
to be vaccinated is not
%.
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 Ho and Ha Select the
correct choice below and fill in the answer boxes to complete your choice.
(Round to two decimal places as needed.)
Transcribed Image Text:(a) Identify the claim and state H, and H, 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.) O A. Less than % of adults in the country think that healthy children should be required to be vaccinated. O B. More than % of adults in the country think that healthy children should be required to be vaccinated. O C. % of adults in the country think that healthy children should be required to be vaccinated, O D. The percentage of adults in the country who think that healthy children should be required to be vaccinated is not %. 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 Ho and Ha Select the correct choice below and fill in the answer boxes to complete your choice. (Round to two decimal places as needed.)
Round to two decimal places as needed.)
ОВ. Но ре
O C. Ho p2
О А. Но Р-
Ha pt
Ha p2
Ha p<
O D. Ho p
O E. Ho ps
OF. Ho p>
Ha p=
Ha p>
Ha ps
(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.)
A. The rejection regions are z<
and z>
B. The rejection region is z >
Transcribed Image Text:Round to two decimal places as needed.) ОВ. Но ре O C. Ho p2 О А. Но Р- Ha pt Ha p2 Ha p< O D. Ho p O E. Ho ps OF. Ho p> Ha p= Ha p> Ha ps (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.) A. The rejection regions are z< and z> B. The rejection region is z >
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