You are conducting a study to see if the proportion of men over 50 who regularly have their prostate examined is significantly different from 0.17.

Question

You are conducting a study to see if the proportion of men over 50 who regularly have their prostate examined is significantly different from 0.17. You use a significance level of α=0.005α=0.005.

      H0:p=0.17

      H1:p≠0.17

You obtain a sample of size n=700n=700 in which there are 131 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

We have a proportion test here.

p-hat = sample proportion = 171/700

p₀ = hypothesized proportion = 0.17

n = sample size = 700

test statistic z = (p-hat - p₀ ) / √(p₀)(1-p₀)/n

With that z, use a table or calculator to find p for a two-tailed test (since we have p≠)