Question

HW #42. 7

You are conducting a study to see if the proportion of men over 50 who regularly have their prostate examined is significantly less than 0.82. You use a significance level of α=0.05α=0.05.

      H0:p=0.82H0:p=0.82
      HA:p<0.82HA:p<0.82

You obtain a sample of size n=273n=273 in which there are 214 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...

• The sample data support the claim that the proportion of men over 50 who regularly have their prostate examined is less than 0.82.
• There is not sufficient sample evidence to support the claim that the proportion of men over 50 who regularly have their prostate examined is less than 0.82.

Answer 1