Answered step by step
Verified Expert Solution
Link Copied!

Question

1 Approved Answer

Women athletes at the a certain university have a long-term graduation rate of 67%. Over the past several years, a random sample of 38 women

Women athletes at the a certain university have a long-term graduation rate of 67%. Over the past several years, a random sample of 38 women athletes at the school showed that 23 eventually graduated. Does this indicate that the population proportion of women athletes who graduate from the university is now less than 67%? Use a 5% level of significance.

(a) What is the level of significance?

State the null and alternate hypotheses.

a.H0: p = 0.67; H1: p > 0.67

b. H0: p = 0.67; H1: p < 0.67

c.H0: p < 0.67; H1: p = 0.67

d. H0: p = 0.67; H1: p 0.67

(b) What sampling distribution will you use?

a.The Student's t, since np > 5 and nq > 5.

b.The standard normal, since np > 5 and nq > 5.

c.The standard normal, since np < 5 and nq < 5.

d.The Student's t, since np < 5 and nq < 5.

What is the value of the sample test statistic? (Round your answer to two decimal places.)

(c) Find the P-value of the test statistic. (Round your answer to four decimal places.)

(d) Based on your answers in parts (a) to (c), will you reject or fail to reject the null hypothesis? Are the data statistically significant at level ?

a. At the = 0.05 level, we reject the null hypothesis and conclude the data are statistically significant.

b. At the = 0.05 level, we reject the null hypothesis and conclude the data are not statistically significant.

c.At the = 0.05 level, we fail to reject the null hypothesis and conclude the data are statistically significant.

d. At the = 0.05 level, we fail to reject the null hypothesis and conclude the data are not statistically significant.

(e) Interpret your conclusion in the context of the application.

a. There is sufficient evidence at the 0.05 level to conclude that the true proportion of women athletes who graduate is less than 0.67.

b. There is insufficient evidence at the 0.05 level to conclude that the true proportion of women athletes who graduate is less than 0.67.

Step by Step Solution

There are 3 Steps involved in it

Step: 1

blur-text-image

Get Instant Access to Expert-Tailored Solutions

See step-by-step solutions with expert insights and AI powered tools for academic success

Step: 2

blur-text-image

Step: 3

blur-text-image

Ace Your Homework with AI

Get the answers you need in no time with our AI-driven, step-by-step assistance

Get Started

Recommended Textbook for

Mathematical Applications For The Management, Life And Social Sciences

Authors: Ronald J. Harshbarger, James J. Reynolds

12th Edition

978-1337625340

More Books

Students also viewed these Mathematics questions

Question

=+Is this an unnecessary or redundant activity?

Answered: 1 week ago