Question

HW #42 #4

You are conducting a study to see if the proportion of men over 50 who regularly have their prostate examined is significantly more than 0.85. You use a significance level of α=0.001α=0.001.

      H0:p=0.85H0:p=0.85
      HA:p>0.85HA:p>0.85

You obtain a sample of size n=470n=470 in which there are 425 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 hypothesis
• accept the null hypothesis
• fail to reject the null hypothesis

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 0.85.
• 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 0.85.
• The sample data support the claim that the proportion of men over 50 who regularly have their prostate examined is more than 0.85.
• 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 0.85.

Answer 1

thank you

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