We are interested in learning about the proportion of students who voted in the
ID: 2908907 • Letter: W
Question
We are interested in learning about the proportion of students who voted in the last presidential election. A statistix printout is shown below:
Hypothesis Test - One Proportion
Sample Size 200
Successes 75
Proportion 0.37500
Difference -0.12500
Standard Error 0.03423
Z (uncorrected) - 3.54 P 0.0004
Method 95% Confidence Interval
Simple Asymptotic (0.30791, 0.44209)
Unfortunately, the study should have tested to determine if less than 50% of all college students voted in the last election. Use your knowledge of p-values to determine the p-value that should be used to conduct this test.
p=.0002Explanation / Answer
Here the z-statistic is -3.536. So the P-value is P[Z<-3.536] which is 0.0002031173. Here Z is N(0,1).
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