Question
In a sample of 400 californians, 280 of them own a car. In a sample of...
In
a sample of 400 californians, 280 of them own a car. In a sample of
300 Texans, 62% own a car. Is there a difference in the
proportions?
Homework Answers
Answer #1
Claim: Difference in proportion
n1 = sample size = 400
x1= number of success = 280
n2 =sample size = 300
x2 = 0.62*300= 186
Test Statistics :
Z = 2.22
Using Z table check 2.2 row and 0.02 column we get 0.9868 . But we have two tailed test so we use 2*(1-0.9868) = 0.0264
P value = 0.0264
P value < 0.05 we reject Ho.
Conclusion : There is enough evidence to conclude that there is difference in proportion
Not the answer you're looking for?
Similar Questions
Consider the following results for independent samples taken from two populations. sample 1 n=400 p=0.48 sample...
Consider the following results for independent samples taken
from two populations.
sample 1
n=400
p=0.48
sample 2
n=300
p=0.36
Develop a 95% confidence interval for the difference between the
two population proportions.
Select one:
a. (0.13 to 0.29)
b. (0.05 to 0.19)
c. (0.09 to 0.21)
d. (0.06 to 0.18)
A smartphone company is comparing the American market for smartphones to the Canadian market for smartphones....
A smartphone company is comparing the American market for
smartphones to the Canadian market for smartphones. They take a
sample of 400 Americans and find 328 own a smartphone, and a sample
of 300 Canadians of which 257 own a smartphone. Find a 98%
confidence interval for the difference in the proportions of
Americans and Canadians who own a smartphone.
A random sample of 200 drivers from a particular county who drive a foreign car yielded...
A random sample of 200 drivers from a particular county who
drive a foreign car yielded 115 who use their seatbelts regularly,
while another sample of 300 drivers who drive a domestic model
yielded 154 who use their seat belts regularly.
1. Test whether the proportions of those using seat belts
regularly is same between the drivers of foreign cars
and drivers of domestic cars. Use a=0.01.
2. Calculate a 99% confidence interval for the difference in
proportions of those using seat...
In Bakersfield, California, a random sample of 400 adults were chosen to study the relationship between...
In Bakersfield, California, a random sample of 400 adults were
chosen to study the relationship between being religious and
participating in the presidential election. 140 out of 200
religious people voted. 40 out of 100 non-religious people voted.
Calculate a z-statistic for the difference between proportions.
State the critical value. Let it be a two-tailed test where α=
0.05. And come to a conclusion about the difference between
proportions.
In Bakersfield, California, a random sample of 400 adults were chosen to study the relationship between...
In Bakersfield, California, a random sample of 400 adults were
chosen to study the relationship between being religious and
participating in the presidential election. 140 out of 200
religious people voted. 40 out of 100 non-religious people voted.
Calculate a z-statistic for the difference between proportions.
State the critical value. Let it be a two-tailed test where α=
0.05. And come to a conclusion about the difference between
proportions.
In Bakersfield, California, a random sample of 400 adults were chosen to study the relationship between...
In Bakersfield, California, a random sample of 400 adults were
chosen to study the relationship between being religious and
participating in the presidential election. 140 out of 200
religious people voted. 40 out of 100 non-religious people voted.
Calculate a z-statistic for the difference between proportions.
State the critical value. Let it be a two-tailed test where α=
0.05. And come to a conclusion about the difference between
proportions.
Consider the following results for independent samples taken from two populations. Sample 1 Sample 2 n1...
Consider the following results for independent samples taken
from two populations.
Sample 1
Sample 2
n1 = 400
n2 = 300
p1 = 0.53
p2 = 0.36
A. What is the point estimate of the difference between the two
population proportions? (Use
p1 − p2.
)
B. Develop a 90% confidence interval for the difference between
the two population proportions. (Use
p1 − p2.
Round your answer to four decimal places.)
to
C. Develop a 95% confidence interval for the...
Consider the following results for independent samples taken from two populations. Sample 1 Sample 2 n1...
Consider the following results for independent samples taken
from two populations.
Sample 1
Sample 2
n1 = 400
n2 = 300
p1 = 0.53
p2 = 0.31
(a)
What is the point estimate of the difference between the two
population proportions? (Use
p1 − p2.
)
(b)
Develop a 90% confidence interval for the difference between the
two population proportions. (Use
p1 − p2.
Round your answer to four decimal places.)
to
(c)
Develop a 95% confidence interval for the...
65% of customers own a car. A random sample of 98 people is obtained. 1. Whats...
65% of customers own a car.
A random sample of 98 people is obtained.
1. Whats a description of the sampling distribution of p^ for
samples of n=98?
2. What is the probability that the proportion of people that
own a car is greater than 75%?
In Houston,Texas a random sample of 400 adults were chosen to study the relationship between being...
In Houston,Texas a random sample of 400 adults were chosen to
study the relationship between being religious and participating in
the presidential election. 140 out of 200 religious people voted.
40 out of 100 non-religious people voted. Calculate a z-statistic
for the difference between proportions. State the critical value.
Let it be a two-tailed test where α= 0.05. And come to a conclusion
about the difference between proportions.
ADVERTISEMENT
Need Online Homework Help?
Get Answers For Free
Most questions answered within 1 hours.
ADVERTISEMENT
Active Questions
asked 2 minutes ago
asked 50 minutes ago
asked 58 minutes ago
asked 1 hour ago
asked 1 hour ago
asked 1 hour ago
asked 2 hours ago
asked 2 hours ago
asked 2 hours ago
asked 2 hours ago
asked 2 hours ago
asked 3 hours ago