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 0.22. You use a significance level of α=0.02α=0.02.       H0:p=0.22H0:p=0.22       HA:p≠0.22HA:p≠0.22 You obtain a sample of size n=521n=521 in which there are 87 successes.

MATLAB: An Introduction with Applications
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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 different from 0.22. You use a significance level of α=0.02α=0.02.

      H0:p=0.22H0:p=0.22
      HA:p≠0.22HA:p≠0.22

You obtain a sample of size n=521n=521 in which there are 87 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
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