such, the final conclusion is that... The sample data support the claim that the probability of a true negative on a test for a certain cancer is less than 0.79. 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 0.79.

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
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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 0.79. You use a significance level of α=0.02

      H0:p=0.79
      H1:p<0.79

You obtain a sample of size n=727 in which there are 556 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...

  • The sample data support the claim that the probability of a true negative on a test for a certain cancer is less than 0.79.
  • 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 0.79.
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