A medical researcher says that less than 87​% 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,  85​% think that healthy children should be required to be vaccinated. At α=0.10, is there enough evidence to support the​ researcher's claim? Complete parts​ (a) through​ (e) below.   ​(a) Identify the claim and state H0 and Ha. H0: 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. B. Less than ______​​% 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. ______​​​% of adults in the country think that healthy children should be required to be vaccinated.   ​(b) Find the critical​ value(s) and identify the rejection​ region(s).       ​(d) Decide whether to reject or fail to reject the null hypothesis and​ (e) interpret the decision in the context of the original claim.

College Algebra
1st Edition
ISBN:9781938168383
Author:Jay Abramson
Publisher:Jay Abramson
Chapter6: Exponential And Logarithmic Functions
Section6.4: Graphs Of Logarithmic Functions
Problem 60SE: Prove the conjecture made in the previous exercise.
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A medical researcher says that less than 87​% 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,  85​% think that healthy children should be required to be vaccinated.

At α=0.10, is there enough evidence to support the​ researcher's claim? Complete parts​ (a) through​ (e) below.

 

​(a) Identify the claim and state H0 and Ha.

H0:

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.

B. Less than ______​​% 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. ______​​​% of adults in the country think that healthy children should be required to be vaccinated.

 

​(b) Find the critical​ value(s) and identify the rejection​ region(s).

     

​(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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