Question

You are conducting a study to see if the proportion of men over 50 who regularly have their prostate examined is significantly more than 0.16. You use a significance level of α=0.10α=0.10.

      H0:p=0.16H0:p=0.16
      H1:p>0.16H1:p>0.16

You obtain a sample of size n=497n=497 in which there are 93 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

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 more than 0.16.
• 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 more than 0.16.
• The sample data support the claim that the proportion of men over 50 who regularly have their prostate examined is more than 0.16.
• There is not sufficient sample evidence to support the claim that the proportion of men over 50 who regularly have their prostate examined is more than 0.16.

Answer 1

The statistical software output for this problem is :

Test statistics = 1.649

P-value = 0.0495

The p-value is less than (or equal to) α .

reject the null

There is sufficient evidence to warrant rejection of the claim that the proportion of men over 50 who regularly have their prostate examined is more than 0.16.