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Suppose are running a study/poll about the proportion of women over 40 who regularly have mammograms....

Suppose are running a study/poll about the proportion of women over 40 who regularly have mammograms. You randomly sample 144 people and find that 42 of them match the condition you are testing. Suppose you are have the following null and alternative hypotheses for a test you are running: H0:p=0.32 Ha:p≠0.32

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Answer #1

H0: Null Hypothesis: p = 0.32 ( the proportion of women over 40 who regularly have mammograms. is 32%) (Claim)

HA: Alternative Hypothesis: p 0.32 ( the proportion of women over 40 who regularly have mammograms. is not 32%)

n = 144

= 42/144 = 0.2917

Take = 0.05

From Table, critical values of Z = 1.96

Test Statistic is given by:

Since calculated value of Z = - 0.729 is greater than critical value of Z = - 1.96, the difference is not significant. Fail to reject null hypothesis.

Conclusion:
The data support the claim that the proportion of women over 40 who regularly have mammograms. is 32%.

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