Question

In: Statistics and Probability

A financial services company has 32 female top executives (presidents or vice presidents) among its 384...

A financial services company has 32 female top executives (presidents or vice presidents) among its 384 senior managers in its Banking Services division, while only 14 female top executives among its 317 senior managers in its Investment Services division. Test at the 0.01 significance level if this reveals the Banking Services division has significantly more female top executives in higher levels of management.

a. State the decision rule. (Round the final answer to 3 decimal places.)

If z  (Click to select)  is more than_________, reject H0.

b. Compute the pooled proportion. (Round the final answer to 5 decimal places.)

pc =

c. Compute the value of the test statistic. (Round the final answer to 3 decimal places.)

The test statistic is ______ .

d. What is your decision regarding the null hypothesis?

Solutions

Expert Solution

Solution:

a. State the decision rule. (Round the final answer to 3 decimal places.)

Answer: If z is more than 2.326, reject H0.

Explanation:

We can use the excel function to find the z-critical value, the excel function is:

b. Compute the pooled proportion. (Round the final answer to 5 decimal places.)

Answer:

c. Compute the value of the test statistic. (Round the final answer to 3 decimal places.)

Answer: The value of the test statistic is:

Therefore, the value of the test statistic is 2.084

  d. What is your decision regarding the null hypothesis?

Answer: Since the value of the test statistic is less than the critical value, we, therefore, fail to reject the null hypothesis


Related Solutions

As a vice president of a financial services company, you serve many clients, and they sometimes...
As a vice president of a financial services company, you serve many clients, and they sometimes ask your company to contribute to their favorite charities. You recently received a letter from Elliana Larios asking for a substantial contribution to the National Court Appointed Special Advocate (CASA) Association. On visits to your office, she has told you about its programs to recruit, train, and support volunteers in their work with abused children. She herself is active in your town as a...
Robert Campbell and Carol Morris are senior vice-presidents of the Mutual of Chicago Insurance Company. They...
Robert Campbell and Carol Morris are senior vice-presidents of the Mutual of Chicago Insurance Company. They are co-directors of the company’s pension fund management division, with Campbell having responsibility for fixed income securities (primarily bonds) and Morris being responsible for equity investments. A major new client, the California League of Cities, has requested that Mutual of Chicago present an investment seminar to the mayors of the represented cities. Campbell and Morris, who will make the actual presentation, have asked you...
Robert Campbell and Carol Morris are senior vice-presidents of the Mutual of Chicago Insurance Company. They...
Robert Campbell and Carol Morris are senior vice-presidents of the Mutual of Chicago Insurance Company. They are co-directors of the company’s pension fund management division. A major new client has requested that Mutual of Chicago present an investment seminar to illustrate the stock valuation process. As a result, Campbell and Morris have asked you to analyze the Bon Temps Company, an employment agency that supplies word processor operators and computer programmers to businesses with temporarily heavy workloads. You are to...
Robert Campbell and Carol Morris are senior vice-presidents of the Mutual of Chicago Insurance Company. They...
Robert Campbell and Carol Morris are senior vice-presidents of the Mutual of Chicago Insurance Company. They are co-directors of the company’s pension fund management division. A major new client has requested that Mutual of Chicago present an investment seminar to illustrate the stock valuation process. As a result, Campbell and Morris have asked you to analyze the Bon Temps Company, an employment agency that supplies word processor operators and computer programmers to businesses with temporarily heavy workloads. You are to...
Robert Campbell and Carol Morris are senior vice-presidents of the Mutual of Chicago Insurance Company. They...
Robert Campbell and Carol Morris are senior vice-presidents of the Mutual of Chicago Insurance Company. They are co-directors of the company's pension fund management division. A major new client has requested that Mutual of Chicago present an investment seminar to illustrate the stock valuation process. As a result, Campbell and Morris have asked you to analyze the Bon Temps Company, an employment agency that supplies word processor operators and computer programmers to businesses with temporarily heavy workloads. You are to...
Robert Campbell and Carol Morris are senior vice-presidents of the Mutual ofChicago Insurance Company. They are...
Robert Campbell and Carol Morris are senior vice-presidents of the Mutual ofChicago Insurance Company. They are co-directors of the company’s pension fund management division. A major new client has requested that Mutual of Chicago present an investment seminar to illustrate the stock valuation process. As a result, Campbell and Morris have asked you to analyze the Bon Temps Company, an employment agency that supplies word processor operators and computer programmers to businesses with temporarily heavy workloads. You are to answer...
Robert Campbell and Carol Morris are senior vice-presidents of the Mutual of Chicago Insurance Company. They...
Robert Campbell and Carol Morris are senior vice-presidents of the Mutual of Chicago Insurance Company. They are co-directors of the company’s pension fund management division. A major new client has requested that Mutual of Chicago present an investment seminar to illustrate the stock valuation process. As a result, Campbell and Morris have asked you to analyze the Bon Temps Company, an employment agency that supplies word processor operators and computer programmers to businesses with temporarily heavy workloads. You are to...
Robert Campbell and Carol Morris are senior vice-presidents of the Mutual of Chicago Insurance Company. They...
Robert Campbell and Carol Morris are senior vice-presidents of the Mutual of Chicago Insurance Company. They are co-directors of the company’s pension fund management division. A major new client has requested that Mutual of Chicago present an investment seminar to illustrate the stock valuation process. As a result, Campbell and Morris have asked you to analyze the Bon Temps Company, an employment agency that supplies word processor operators and computer programmers to businesses with temporarily heavy workloads. You are to...
1.) Sam Strother and Shawna Tibbs are vice presidents of Mutual of Seattle Insurance Company and...
1.) Sam Strother and Shawna Tibbs are vice presidents of Mutual of Seattle Insurance Company and co-directors of the company’s pension fund management division. An important new client, the North-Western Municipal Alliance, has requested that Mutual of Seattle present an investment seminar to the mayors of the represented cities, and Strother and Tibbs, who will make the actual presentation, have asked you to help them by answering the following questions. a. What are the key features of a bond? b....
Robert Campbell and Carol Morris are senior vice-presidents of the Mutual of Chicago Insurance Company. They...
Robert Campbell and Carol Morris are senior vice-presidents of the Mutual of Chicago Insurance Company. They are co-directors of the company’s pension fund management division. A major new client has requested that Mutual of Chicago present an investment seminar to illustrate the stock valuation process. As a result, Campbell and Morris have asked you to analyze the Bon Temps Company, an employment agency that supplies word processor operators and computer programmers to businesses with temporarily heavy workloads. You are to...
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT