Question

You are conducting a study to see if the probability of a true negative on a test for a certain cancer is significantly different from 0.87. You use a significance level of 0.01. Ho: p = 0.87 Hi: p ≠ 0.87 You obtain a sample of size n = 418 in which there are 384 successes. What is the test statistic for this sample? (Report answer accurate to three decimal places) What is the p-value for this sample? (Report answer accurate to four decimal places) The p-value is: less than (or equal to) α greater than α 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 different from 0.87. 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 different from 0.87. The sample data support the claim that the probability of a true negative on a test for a certain cancer is different from 0.87. 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 different from 0.87.

          You are conducting a study to see if the probability of a true negative on a test for a certain cancer is significantly different from 0.87. You use a significance level of 0.01.

Ho: p = 0.87
Hi: p ≠ 0.87

You obtain a sample of size n = 418 in which there are 384 successes.

What is the test statistic for this sample? (Report answer accurate to three decimal places)
What is the p-value for this sample? (Report answer accurate to four decimal places)

The p-value is:
less than (or equal to) α
greater than α

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 different from 0.87.
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 different from 0.87.
The sample data support the claim that the probability of a true negative on a test for a certain cancer is different from 0.87.
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 different from 0.87.

Added by Donald M.

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