You are conducting a study to see if the probability of a true negative on a test for a certain cancer is significantly less than 0.88. You use a significance level of α=0.05α=0.05. H0:p=0.88H0:p=0.88 H1:p<0.88H1:p<0.88You obtain a sample of size n=361n=361 in which there are 300 successes.What is the p-value for this sample? (Report answer accurate to four decimal places.)p-value = The p-value is...less than (or equal to) ααgreater than ααThis p-value leads to a decision to...reject the nullaccept the nullfail to reject the nullAs such, the final conclusion is that...There is sufficient evidence to warrant rejection of the claim that the probability of a true negative on a test for a certain cancer is less than 0.88.There is not sufficient evidence to warrant rejection of the claim that the probability of a true negative on a test for a certain cancer is less than 0.88.The sample data support the claim that the probability of a true negative on a test for a certain cancer is less than 0.88.There is not sufficient sample evidence to support the claim that the probability of a true negative on a test for a certain cancer is less than 0.88.

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Answered: You are conducting a study to see if…

Calculus For The Life Sciences

2nd Edition

ISBN:9780321964038

Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Chapter13: Probability And Calculus

Section13.2: Expected Value And Variance Of Continuous Random Variables

Problem 10E

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You are conducting a study to see if the probability of a true negative on a test for a certain cancer is significantly less than 0.88. You use a significance level of α=0.05α=0.05.

H0:p=0.88H0:p=0.88
H1:p<0.88H1:p<0.88

You obtain a sample of size n=361n=361 in which there are 300 successes.

What is the p-value for this sample? (Report answer accurate to four decimal places.)
p-value =

The p-value is...

less than (or equal to) αα
greater than αα

This p-value leads to a decision to...

reject the null
accept the null
fail to reject the null

As such, the final conclusion is that...

There is sufficient evidence to warrant rejection of the claim that the probability of a true negative on a test for a certain cancer is less than 0.88.
There is not sufficient evidence to warrant rejection of the claim that the probability of a true negative on a test for a certain cancer is less than 0.88.
The sample data support the claim that the probability of a true negative on a test for a certain cancer is less than 0.88.
There is not sufficient sample evidence to support the claim that the probability of a true negative on a test for a certain cancer is less than 0.88.

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