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 0.22. You use a significance level of α=0.002α=0.002.

      H0:p=0.22H0:p=0.22
      H1:p≠0.22H1:p≠0.22

You obtain a sample of size n=532n=532 in which there are 144 successes.

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 p-value 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 proportion of men over 50 who regularly have their prostate examined is different from 0.22.
• There is not sufficient evidence to warrant rejection of the claim that the proportion of men over 50 who regularly have their prostate examined is different from 0.22.
• The sample data support the claim that the proportion of men over 50 who regularly have their prostate examined is different from 0.22.
• There is not sufficient sample evidence to support the claim that the proportion of men over 50 who regularly have their prostate examined is different from 0.22.

Answer 1

The statistical software output for this problem is :

P-value = 0.0048

The p-value is greater than α

fail to reject the null

There is not sufficient evidence to warrant rejection of the claim that the proportion of men over 50 who regularly have their prostate examined is different from 0.22.