Question

You are conducting a study to see if the proportion of women over 40 who regularly have mammograms is significantly different from 0.81. You use a significance level of α = 0.05 . H 0 : p = 0.81 H 1 : p ≠ 0.81 You obtain a sample of size n = 627 in which there are 494 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 =

This test statistic lead 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 women over 40 who regularly have mammograms is different from 0.81.
• There is not sufficient evidence to warrant rejection of the claim that the proportion of women over 40 who regularly have mammograms is different from 0.81.
• The sample data support the claim that the proportion of women over 40 who regularly have mammograms is different from 0.81.
• There is not sufficient sample evidence to support the claim that the proportion of women over 40 who regularly have mammograms is different from 0.81.

Please show steps of what you entered on your calculator to compute your answer

Answer 1

Answer :

test statistic = -1.417

p-value = 0.1565 (Two sided)

This test statistic lead to a decision to Fail to reject the null hypothesis

As such, the final conclusion is that There is not sufficient evidence to warrant rejection of the claim that the proportion of women over 40 who regularly have mammograms is different from 0.81.

The detailed solution is given in the attached file.Hope this helps.(upvote please)