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 0.83. You use a significance level of α=0.01α=0.01.       H0:p=0.83H0:p=0.83       H1:p<0.83H1:p<0.83 You obtain a sample of size n=747n=747 in which there are 610 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 0.83. 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 0.83. The sample data support the claim that the probability of a true negative on a test for a certain cancer is less than 0.83. 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 0.83.

Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter11: Data Analysis And Probability
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 0.83. You use a significance level of α=0.01α=0.01.

      H0:p=0.83H0:p=0.83
      H1:p<0.83H1:p<0.83

You obtain a sample of size n=747n=747 in which there are 610 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 0.83.
  • 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 0.83.
  • The sample data support the claim that the probability of a true negative on a test for a certain cancer is less than 0.83.
  • 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 0.83.
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