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 0.33. You use a significance level of α=0.10α=0.10....


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 0.33. You use a significance level of α=0.10α=0.10.


      H0:p=0.33H0:p=0.33
      H1:p≠0.33H1:p≠0.33


You obtain a sample of size n=180n=180 in which there are 39 successes.


What is the test statistic for this sample? (Report answer accurate to two 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 different from 0.33.

  • 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 0.33.

  • The sample data support the claim that the probability of a true negative on a test for a certain cancer is different from 0.33.

  • 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 0.33.




Jun 10, 2022
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