Sample 1
Sample 2
n
= 200
n
= 400
p
= 0.26
p
= 0.15
a. What is the value of the test statistic (to 2 decimals)?
3.26
b. What is the
p
value (to 4 decimals)?
0.0005
c. With
= .05, what is your hypothesis testing conclusion?
Conclude the difference between the proportions is greater than 0
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29/09/2017
Module 1: Difference of Two Populations
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11.
Your answer:
{Exercise 11.9}
Adecco Workplace Insights Survey sampled men and women workers and asked if they expected to get a raise or promotion this year (
USA
Today
, February 16, 2012). Suppose the survey sampled 200 men and 200 women. If 104 of the men replied yes and 74 of the women
replied yes, are the results statistically significant in that you can conclude a greater proportion of men are expecting to get a raise or a
promotion this year?
a.
State the hypothesis test in terms of the population proportion of men and the population proportion of women?
H
:
p

p
less than or equal to 0
H
:
p

p
greater than 0
b.
What is the sample proportion for men? Round your answer to two decimal places.
0.52
What is the sample proportion for women? Round your answer to two decimal places.
0.37
c.
Use a .01 level of significance. What is the
p
value? Round your answer to four decimal places.
0.0013
What is your conclusion?
Significant difference between the population proportions with a great proportion of men excepting to get a raise or a promotion this year.
12.
Your answer:
{Exercise 11.33 (Algorithmic)}
In June 2001, 38% of fund managers surveyed believed that the core inflation rate would be higher in one year. One month later a similar
survey revealed that 22% of fund managers expected the core inflation rate to be higher in one year (
Global Research Highlights
, Merrill
Lynch, July 20, 2001). Assume that the sample size was 140 in both the June and July surveys.
a. Develop a point estimate of the difference between the June proportion (population 1) and the July proportion (population 2) of fund
managers who felt the core inflation rate would be higher in one year (to 2 decimals).
0.16
b. Develop hypotheses such that rejection of the null hypothesis allows us to conclude that inflation expectations diminished between June
and July.
H
:
p

p
less than or equal to 0
H
:
p

p
greater than 0
c. Conduct a test of the hypotheses in part (b) using
= .01.
Compute the value of the test statistic (to 2 decimals).
2.921
What is the
p
value (to 4 decimals)?
0.0013
What is your conclusion?
Conclude the proportion of managers expecting the higher rater diminished in July
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 Spring '17
 Statistics, Null hypothesis, Statistical hypothesis testing