Question

Suppose it is desired to compare the proportion of male and female students who voted in the last presidential election. We decide to randomly and independently sample 1000 male and 1000 female students and ask if they voted or not. A printout of the results is shown below.

Hypothesis Test - Two Proportions

Sample Size Successes Proportion

Males 1000 475 0.47500

Females 1000 525 0.52500

Difference -0.05000

Null Hypothesis: p1 = p2

Alternative Hyp: p1 ≠ p2

SE (difference) 0.02236

Z (uncorrected) -2.24 P 0.0253

95% Confidence Interval of Difference

-0.09377 < p1-p2 < -0.00623

Identify the test statistic that we would use to conduct a test to determine if the proportions differ.

Group of answer choices

z=-2.24

Difference=-.05000

p=.0253

alpha=.05

Answer 1

SOLUTION :

Given,

If and represent the Propertion of male and female student voted in the last presidential election.  

Here we want to test hypothesis,

= 1000 , = 475,  

=1000, = 525,

Pooled estimate of P,

The test statistic is,

Z = -2.236

i.e Z = -2.24

From the above output, The value of test statistic is

Z = -2.24