A medical researcher says that less than 80% of adults in a certain country think that healthy children should be required to be vaccinated. In a random sample of 200 adults in that country, 76% 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. 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. (a) Find the critical value(s) and identify the rejection region(s). z0=______ (b) Identify the rejection region(s). (c) Find the standardized test statistic z. z=______ (d) Decide whether to reject or fail to reject the null hypothesis and (e) interpret the decision in the context of the original claim.
A medical researcher says that less than 80% of adults in a certain country think that healthy children should be required to be vaccinated. In a random sample of 200 adults in that country, 76% 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. 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. (a) Find the critical value(s) and identify the rejection region(s). z0=______ (b) Identify the rejection region(s). (c) Find the standardized test statistic z. z=______ (d) Decide whether to reject or fail to reject the null hypothesis and (e) interpret the decision in the context of the original claim.
Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter11: Data Analysis And Probability
Section: Chapter Questions
Problem 8CR
Related questions
Question
A medical researcher says that less than 80% of adults in a certain country think that healthy children should be required to be vaccinated. In a random sample of 200 adults in that country, 76% 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.
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.
(a) Find the critical value(s) and identify the rejection region(s).
z0=______
(b) Identify the rejection region(s).
(c) Find the standardized test statistic z.
z=______
(d) Decide whether to reject or fail to reject the null hypothesis and (e) interpret the decision in the context of the original claim.
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Claim: less than 80% of adults in a certain country think that healthy children should be required to be vaccinated
Sample size
Sample proportion
Significance level α=0.05
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