82.
Suppose that .06 of each of two populations possess a given characteristic.
Samples of size 400 are randomly drawn from each population. The probability
that the difference between the first sample proportion which possess the given
characteristic and the second sample proportion which possess the given
characteristic being more than +.03 is _______.
M
A.
0.4943
Calc
B.
0.9943
C.
0.0057
D.
0.5057
B
83.
Suppose that .06 of each of two populations possess a given characteristic.
Samples of size 400 are randomly drawn from each population. The standard

334
Test Bank
deviation for the sampling distribution of differences between the first sample
proportion and the second sample proportion (used to calculate the Z score) is
_______.
M
84.
Suppose that .06 of each of two populations possess a given characteristic.
Samples of size 400 are randomly drawn from each population. What is the

probability that the differences in sample proportions will be greater than 0.02?
M
85.
A statistician is being asked to test a new theory that the proportion of population
A possessing a given characteristic is greater than the proportion of population B

possessing the characteristic. A random sample of 600 from population A has
been taken and it is determined that 480 possess the characteristic. A random
sample of 700 taken from population B results in 350 possessing the
characteristic.
The calculated Z for this is _______.
M

A
86.
If you are testing a hypothesis that two population proportions are the same, you
_______.
M
A.
should calculate a "pooled" value for the sample proportion
Term
B.
should not calculate a "pooled" value for the sample proportion
C.
use a sample proportion of zero
D.
always use a 0.05 level of significance

Chapter 10:
Statistical Inferences for Two Populations
335
A
87.
A researcher is interested in estimating the difference in two population
proportions. A sample of 400 from each population results in sample proportions
of .61 and .64. The point estimate of the difference in the population proportions
is _______.
E
0
88.
A researcher is interested in estimating the difference in two population

proportions. A sample of 400 from each population results in sample proportions
of .61 and .64.
A 90% confidence interval for the difference in the population
proportions is _______.
M