Calculate a 90%
confidence interval for the difference between the two
population proportions.
Sample1 n1=200 x1=40
sample 2 n2=150 x2=27
___≤(p1−p2≤______
Construct the indicated confidence interval for the difference
between population proportions p1 - p2. Assume that the samples are
independent and that they have been randomly selected.
4) x1 = 44, n1 = 64 and x2 = 50, n2 = 73; Construct a 95%
confidence interval for the difference 4) between population
proportions p1 - p2.
Use the two-proportions z-interval procedure to obtain
the required confidence interval for the difference between two
population proportions. Assume that independent simple random
samples have been selected from the two populations.
A survey of students at one college found that 57 of 96 randomly
selected freshmen and 85 of 118 randomly selected sophomores lived
off campus. Find a 98% confidence interval for the difference
between the proportions of freshmen and sophomores at this college
who live off campus.
-0.278 to...
a) If the confidence interval for the difference in population
proportions p1 - p2 includes 0, what does this imply?
b) If all the values of a confidence interval for two population
proportions are positive, then what does this imply?
c) If all the values of a confidence interval for two population
proportions are negative, then what does this imply?
d) Explain the difference between sampling with replacement and
sampling without replacement. Suppose you had the names of...
10.4: Inferences About the Difference Between Two Population
Proportions
In a test of the quality of two television commercials, each
commercial was shown in a separate test area six times over a
one-week period. The following week a telephone survey was
conducted to identify individuals who had seen the commercials.
Those individuals were asked to state the primary message in the
commercials. The following results were recorded.
Commercial A
Commercial B
Number Who Saw Commercial
155
204
Number Who Recalled...
Construct the indicated confidence interval for the difference between the two population means. Assume that the two samples are independent simple random samples selected from normally distributed populations. Do not assume that the population standard deviations are equal. Independent samples from two different populations yield the following data. The sample size is 478 for both samples. Find the \(85 \%\) confidence interval for \(\mu_{1}-\mu_{2}\).
\(\bar{x}_{1}=958, \bar{x}_{2}=157, s_{1}=77, s_{2}=88\)
A. \(800<\mu_{1}-\mu_{2}<802\)
B. \(791<\mu_{1}-\mu_{2}<811\)
C. \(793<\mu_{1}-\mu_{2}<809\)
D. \(781<\mu_{1}-\mu_{2}<821\)
1. Confidence interval for the difference between the
two population means.
(Assume that the two samples are independent simple random samples
selected from normally distributed populations.)
A researcher was interested in comparing the GPAs of students at
two different colleges. Independent simple random samples of 8
students from college A and 13 students from college B yielded the
following summary statistics:
College A
College B
= 3.1125
= 3.4385
s1 = 0.4357
s2 = 0.5485
n1 = 8
n2 =...
Describe a confidence interval for the difference in means
between two population by stating 1. a pair of populations composed
of the same type of individuals and a quantitative variable on
those populations, 2. sizes and degrees of freedom of samples from
those populations, 3. the means of those samples, and 4. the
standard deviations of those samples. Then state 5. a confidence
level and find 6. find the interval. Finally, perform a test of
significance concerning the difference in...
Construct the indicated confidence interval for the difference
between the two population means.
Assume that the two samples are independent simple random samples
selected from normally
distributed populations. Do not assume that the population standard
deviations are equal. A paint
manufacturer wished to compare the drying times of two different
types of paint. Independent
simple random samples of 11 cans of type A and 9 cans of type B
were selected and applied to
similar surfaces. The drying times, in...