# Harvard University Independent Proportions Statistics Worksheet

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Tbbqfghqrag123

Mathematics

Harvard University

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1. Research question about two independent proportions.
What is the proportion of male and female students who voted for a student leader?
2. Data were obtained by randomly sampling 30 male students and 30 female students, then asking
them whether they voted for a student leader or not by interviewing them. From the data collection,
I got the following information.

Gender

n
Success
(Yes)
Failure (No)

Male

Female

n1=30

n2=30

23

17

7

13

Success (Yes): The students who voted for a student leader.
Failure (No): The students who did not vote for a student leader.
3. Pick your significance level α and alternative hypothesis; justify your choice.
α = 0.05
This shows that I want to have a 5% risk of concluding that a difference exists between the two
proportions where there is no actual difference between the two proportions.

4. Five-step hypothesis test procedure.
Step 1: Formulate the null and alternative hypotheses.
H0: The proportion of male students who voted for a student leader is the same as the proportion of
female students who voted for a student leader.
H1: The proportion of male students who voted for a student leader is different from the proportion
of female students who voted for a student leader.
Step 2: Choose the statistical test to use.
This is based on sample size. In this case, n=30 hence 2-test will be used.

Calculate proportions P1 and P1 based on the number of successes and sample size for e...

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Anonymous
Awesome! Perfect study aid.

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