ou are conducting a study to see if the probability of a true negative on a test for a certain cancer is significantly less than 0.68. You use a significance level of α=0.02. H0:p=0.68 H1:p<0.68You obtain a sample of size n=723 in which there are 480 successes.What is the test statistic for this sample? (Report answer accurate to three decimal places.)test statistic = 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 test statistic 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 0.68.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 0.68.The sample data support the claim that the probability of a true negative on a test for a certain cancer is less than 0.68.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 0.68.

It is given that Population proportion, p = 0.68 Favourable cases, X = 480 Sample size, n = 723

Answered: successes. What is the test statistic…

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.

Chapter12: Probability

Section12.4: Discrete Random Variables; Applications To Decision Making

Problem 9E

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ou are conducting a study to see if the probability of a true negative on a test for a certain cancer is significantly less than 0.68. You use a significance level of α=0.02.

H0:p=0.68
H1:p<0.68

You obtain a sample of size n=723 in which there are 480 successes.

What is the test statistic for this sample? (Report answer accurate to three decimal places.)
test statistic =

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 test statistic 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 0.68.
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 0.68.
The sample data support the claim that the probability of a true negative on a test for a certain cancer is less than 0.68.
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 0.68.

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