You are conducting a study to see if the probability of a true negative on a test for a certain cancer is significantly more than 0.6. You use a significance level of α = 0.001 .

Question

You are conducting a study to see if the probability of a true negative on a test for a certain cancer is significantly more than 0.6. You use a significance level of α=0.001�=0.001.

      H0:p=0.6�0:�=0.6

      H1:p>0.6�1:�>0.6

You obtain a sample of size n=645�=645 in which there are 409 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 =

Answer 1

This can be done using the 1-PropZTest under stats > tests on a TI-83/84 graphing calculator.

Here p₀=0.6,X=409,N=645, and the alternative p>p₀.

the output will include p-hat = X/N, z (test statistic), and the p-value (p in output).

I haven’t conducted the test as I haven’t got my calculator with me. If you need to see the results or want to see a non-calculator approach let me know.