Question

In: Statistics and Probability

Forty five percent of employees in a firm are female. A sample of 49 employees is...

Forty five percent of employees in a firm are female. A sample of 49 employees is selected randomly.

What is the probability that the sample proportion of females is at least 0.45?

Expert Solution

The following information has been provided about the population proportiona and the sample size:

Population Proportion =	0.45
Sample Size =	49

We need to compute Based on the information provided, the population men of sample proportions and the corresponding standard error are:

Observe that:

which indicates that the assumption for normal approximation for the sampling distribution is met.

Since we need to use a continuity correction, we need to use the factor to adjust the end points of the end points of the probability intervals, so the new limits are:

Now, the following is obtained using normal approximation:

Therefore, based on the information provided, it is concluded that

please rate my answer and comment for doubts.

orchestra answered 1 year ago

Forty percent of a firm’s employees are men. Suppose Four of the firm’s employees are randomly...

Forty percent of a firm’s employees are men. Suppose Four of the firm’s employees are randomly selected. a. What is more likely, finding three men and one woman or two men and two women? _The probabilities of finding three men and one woman and two men and two women are the same. _Finding two men and two women are more likely. _Finding three men and one woman is more likely. b. Do you obtain the same answer as in part...

Eighty-five percent of UCD students are Irish. Forty percent of UCD students play rugby. Thirty five...

Eighty-five percent of UCD students are Irish. Forty percent of UCD students play rugby. Thirty five percent of students are Irish and play rugby. If a student is selected at random, find the conditional probability that: (a) the student practices rugby, given that the he/she is Irish; (b) the student is Irish, given that the he/she practices rugby. List all the properties/theorems you have used in your calculations.

Forty percent of business travelers carry either a cell phone or a laptop. For a sample...

Forty percent of business travelers carry either a cell phone or a laptop. For a sample of 15 business travelers, make the following calculations. a. Compute the probability that three of the travelers carry a cell phone or laptop. b. Compute the probability that 12 of the travelers carry neither a cell nor a laptop. c. Compute the probability that at least three of the travelers carry a phone or a laptop.

Employees at the Jackson Hole Corporation typically take forty-five minutes for lunch when the allocated time...

Employees at the Jackson Hole Corporation typically take forty-five minutes for lunch when the allocated time is only thirty minutes. Employees are encouraged to eat at the company cafeteria located in the middle of the company facilities. Most employees choose to eat their lunch in the cafeteria. Is there an agency cost here? If so, how can management eliminate or reduce this agency cost? How might management eliminate this agency cost? (Select all that apply.) A. If the facilities are...

Sample annual salaries (in thousands of dollars) for employees at a company are listed. 54 49...

Sample annual salaries (in thousands of dollars) for employees at a company are listed. 54 49 44 51 32 32 54 49 44 30 51 54 48 (a) Find the sample mean and the sample standard deviation. (b) Each employee in the sample is given a 6% raise. Find the sample mean and the sample standard deviation for the revised data set. (c) To calculate the monthly salary, divide each original salary by 12. Find the sample mean and the...

Sample annual salaries (in thousands of dollars) for employees at a company are listed. 52 49 ...

Sample annual salaries (in thousands of dollars) for employees at a company are listed. 52 49 45 51 38 38 52 49 45 34 51 52 42 (a) Find the sample mean and sample standard deviation. (b) Each employee in the sample is given a 5% raise. Find the sample mean and sample standard deviation for the revised data set. (c) To calculate the monthly salary, divide each original salary by 12. Find the sample mean and sample...

(14 marks) Show your work for full marks: Forty-five percent of the applications received for a...

Show your work for full marks: Forty-five percent of the applications received for a particular credit card are accepted. Among the next ten applications, A) What is the probability that all will be rejected? What is the probability that all will be accepted? What is the probability that exactly 4 will be accepted? What is the probability that fewer than 3 will be rejected? What is the probability that more than two will be rejected?(Use Excel to solve and write...

A random sample found that forty percent of 50 Americans were satisfied with the gun control...

A random sample found that forty percent of 50 Americans were satisfied with the gun control laws in 2017. Compute a 97% confidence interval for the true proportion of Americans who were satisfied with the gun control laws in 2017. Fill in the blanks appropriately. A 97% for the true proportion of Americans who were satisfied with the gun control laws in 2017 is: Answer= (___ ,___ ) (Keep 3 decimal places)

A random sample found that forty percent of 100 Americans were satisfied with the gun control...

A random sample found that forty percent of 100 Americans were satisfied with the gun control laws in 2017. Compute a 99% confidence interval for the true proportion of Americans who were satisfied with the gun control laws in 2017. Fill in the blanks appropriately. A random sample found that forty percent of 100 Americans were satisfied with the gun control laws in 2017. Compute a 99% confidence interval for the true proportion of Americans who were satisfied with the...

Use the following information to solve the next five exercises. Forty-eight percent of all Californians registered...

Use the following information to solve the next five exercises. Forty-eight percent of all Californians registered voters prefer Proposition A. Among Latino California registered voters, 55% prefer Proposition A. Thirty-nine percent of all Californians are Latino. In this problem, let: C = Californians (registered voters) preferring Proposition A. L = Latino Californians. Suppose that one Californian is randomly selected. a. Find P(C). b. Find P(C|L). c. Find P (L AND C). d. Are L and C independent events? Show why...