Question

The engineering school at a major university claims that 36% of its graduates are women. In...

The engineering school at a major university claims that 36% of its graduates are women. In a graduating class of 210 students, 90 were females. Does this suggest that the school is believable? Use α = 0.10.

A.

P-value = 0.0558 < 0.05; reject H0; There is enough evidence to reject the claim that is 36%.
B.

P-value = 0.0384 > 0.01; do not reject H0; There is enough evidence to support the claim that is 36%.
C.

P-value = 0.0384 < 0.10; reject H0; There is enough evidence to reject the claim that is 36%.
D.

P-value = 0.0384 < 0.05; reject H0; There is enough evidence to reject the claim that is 36%.
Math   Statistics-And-Probability   
0 0
Add a commentTranscribed image text
Next >

Homework Answers

Answer #1

Correct option:

C      P-value = 0.0384 < 0.10; reject H0; There is enough evidence to reject the claim that is 36%.

Explanation:
H0: Null Hypothesis: p = 0.36 ( The school is believable that 36% of its graduates are women ) (Claim)

HA: Alternative Hypothesis: p 0.36 ( The school is not believable that 36% of its graduates are women )

n = 90

= 90/210 = 0.4286

= 0.10

Test Statistic is given by:

By Technology,

p - value = 0.0384

Since p - value = 0.0384 is less than = 0.10, the difference is significant. Reject null hypothesis.

Conclusion:

There is enough evidence to reject the claim that is 36%.

0 0
Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Log In

Sign Up

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
The engineering school at a major university claims that 25% of its graduates are women. In...
The engineering school at a major university claims that 25% of its graduates are women. In a graduating class of 210 students, 43 were females. Does this suggest that the school is believable? Use α = 0.10. A. P-value = 0.0028 < 0.02; reject H0; There is enough evidence to reject the claim that is 25%. B. P-value = 0.0650 > 0.05; do not reject H0; There is enough evidence to support the claim that is 25%. C. P-value =...
The engineering school at a major university claims that 15% of its graduates are women. In...
The engineering school at a major university claims that 15% of its graduates are women. In a graduating class of 210 students, 45 were females. Does this suggest that the school is believable? Use α = 0.02.
The engineering school at a major university claims that 20% of its graduates are women. In...
The engineering school at a major university claims that 20% of its graduates are women. In a graduating class of 210 students, 58 were females. Does this suggest that the school is believable? Use α = 0.05. Use any method, however, follow the PHANTOMS acronym P - Parameter Statement H - Hypotheses A - Assumptions & Conditions N - Name the Test and state the curve you're using T - Test Statistic - Round your value to TWO decimals and...
The engineering school at a major university claims that 20% of its graduates are women. In...
The engineering school at a major university claims that 20% of its graduates are women. In a graduating class of 210 students, 58 were females. Does this suggest that the school is believable? Use α = 0.05. Use any method, however, follow the PHANTOMS acronym P - Parameter Statement H - Hypotheses A - Assumptions & Conditions N - Name the Test and state the curve you're using T - Test Statistic - Round your value to TWO decimals and...
A manufacturer claims that the mean lifetime of its lithium batteries is less than 1500 hours....
A manufacturer claims that the mean lifetime of its lithium batteries is less than 1500 hours. A homeowner selects 25 of these batteries and finds the mean lifetime to be 1480 hours with a standard deviation of 80 hours. Test the manufacturer's claim. Use α = 0.10. A. P-value = 0.112 > 0.10; do not reject H0; There is not enough evidence support the claim, that mean is less than 1500. B. P-value = 0.112 > 0.05; do not reject...
A manufacturer claims that the mean lifetime of its lithium batteries is less than 1120 hours....
A manufacturer claims that the mean lifetime of its lithium batteries is less than 1120 hours. A homeowner selects 25 of these batteries and finds the mean lifetime to be 1100 hours with a standard deviation of 75 hours. Test the manufacturer's claim. Use α = 0.01. A. P-value = 0.110 > 0.01; do not reject H0; There is not enough evidence support the claim, that mean is less than 1120. B. P-value = 0.097 > 0.01; do not reject...
A manufacturer claims that the mean lifetime of its lithium batteries is less than 1520 hours....
A manufacturer claims that the mean lifetime of its lithium batteries is less than 1520 hours. A homeowner selects 27 of these batteries and finds the mean lifetime to be 1498 hours with a standard deviation of 76 hours. Test the manufacturer's claim. Use α = 0.10. A. P-value = 0.112 > 0.02; do not reject H0; There is not enough evidence support the claim, that mean is less than 1500. B. P-value = 0.072 > 0.05; do not reject...
A large university is well known for both its architecture school and its mechanical engineering program....
A large university is well known for both its architecture school and its mechanical engineering program. The dean of the career services office is trying to find whether there is a difference in starting job salary between recently graduated architecture majors and mechanical engineering majors. The starting annual salaries for a random sample of 10 architecture majors and 10 mechanical engineering majors from the most recent graduating class are recorded. Assume that the population variances of the architecture majors' starting...
An airline claims that the no-show rate for passengers is less than 8%. In a sample...
An airline claims that the no-show rate for passengers is less than 8%. In a sample of 419 randomly selected reservations, 22 were no-shows. At α = 0.01, test the airline's claim. A. P-value = 0.026 > 0.01; do not reject H0; There is not enough evidence to support the airline's claim, that is less than 8% B. P-value = 0.019 > 0.01; do not reject H0; There is not enough evidence to support the airline's claim, that is less...
A university investigation was conducted to determine whether women and men complete medical school in significantly...
A university investigation was conducted to determine whether women and men complete medical school in significantly different amounts of time, on the average. Two independent random samples were selected and the following summary information concerning times to completion of medical school computed. Perform the appropriate test of hypothesis, at level 0.05 to determine whether there is a significant difference in time to completion of medical school between women and men. Women Men Sample Size 90 100 Mean 8.4 years 8.5...
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT