Question

The Internal Revenue Service is studying the category of charitable contributions. A sample of 22 returns...

The Internal Revenue Service is studying the category of charitable contributions. A sample of 22 returns is selected from young couples between the ages of 20 and 35 who had an adjusted gross income of more than $100,000. Of these 22 returns, 7 had charitable contributions of more than $1,000. Suppose 6 of these returns are selected for a comprehensive audit.

  1. Explain why the hypergeometric distribution is appropriate. Because:

  • you are sampling a small population without replacement.

  • you are sampling a small population with replacement.

  • you are sampling a large population without replacement.

  • B. What is the probability exactly one of the six audited had a charitable deduction of more than $1,000? (Round your answer to 4 decimal places.)

  • C. What is the probability at least one of the audited returns had a charitable contribution of more than $1,000? (Round your answer to 4 decimal places.)

Homework Answers

Answer #1

If you are satisfied with my answer then please give me a thumbs-up.

Thank you.

Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
The Internal Revenue Service is studying the category of charitable contributions. A sample of 28 returns...
The Internal Revenue Service is studying the category of charitable contributions. A sample of 28 returns is selected from young couples between the ages of 20 and 35 who had an adjusted gross income of more than $100,000. Of these 28 returns, 5 had charitable contributions of more than $1,000. Suppose 4 of these returns are selected for a comprehensive audit. a. Explain why the hypergeometric distribution is appropriate. Because b. What is the probability exactly one of the four...
A tax auditor is selecting a sample of 8 tax returns for an audit. If 3...
A tax auditor is selecting a sample of 8 tax returns for an audit. If 3 or more of these returns are​ "improper," the entire population of 45 tax returns will be audited. Complete parts​ (a) through​ (e) below. a. What is the probability that the entire population will be audited if the true number of improper returns in the population is 15​? The probability is? ​(Round to four decimal places as​ needed.) b. What is the probability that the...
Suppose a geyser has a mean time between eruptions of 79 minutes. Let the interval of...
Suppose a geyser has a mean time between eruptions of 79 minutes. Let the interval of time between the eruptions be normally distributed with standard deviation 22 minutes. Complete parts ​(a) through ​(e) below. ​(a) What is the probability that a randomly selected time interval between eruptions is longer than 90 ​minutes? The probability that a randomly selected time interval is longer than 90 minutes is approximately nothing. ​(Round to four decimal places as​ needed.) ​(b) What is the probability...
According to the Bureau of Labor Statistics, the mean salary for registered nurses in Kentucky was...
According to the Bureau of Labor Statistics, the mean salary for registered nurses in Kentucky was $58,605. The distribution of salaries is assumed to be normally distributed with a standard deviation of $5,688. Someone would like to determine if registered nurses in Ohio have a greater average pay. To investigate this claim, a sample of 297 registered nurses is selected from the Ohio Board of Nursing, and each is asked their annual salary. The mean salary for this sample of...
Let x represent the dollar amount spent on supermarket impulse buying in a 10-minute (unplanned) shopping...
Let x represent the dollar amount spent on supermarket impulse buying in a 10-minute (unplanned) shopping interval. Based on a certain article, the mean of the x distribution is about $20 and the estimated standard deviation is about $8. (a) Consider a random sample of n = 80 customers, each of whom has 10 minutes of unplanned shopping time in a supermarket. From the central limit theorem, what can you say about the probability distribution of x, the average amount...
SECTION2- Sampling Distributions 6. The amount of time that you have to wait before seeing the...
SECTION2- Sampling Distributions 6. The amount of time that you have to wait before seeing the doctor in the doctor's office is normally distributed with a mean of 15.2 minutes and a standard deviation of 15.2 minutes. If you take a random sample of 35 patients, what is the probability that the average wait time is greater than 20 minutes? (Hint: Round the probability value to 2 decimal places.) Show your calculations. A. 0.16 B. 0.09 C. 0.03 D. 0.28...
#46 In a survey of 2000 adults 50 years and older of whom 20% were retired...
#46 In a survey of 2000 adults 50 years and older of whom 20% were retired and 80% were pre-retired, the following question was asked: Do you expect your income needs to vary from year to year in retirement? Of those who were retired, 23% answered no, and 77% answered yes. Of those who were pre-retired, 28% answered no, and 72% answered yes. If a respondent in the survey was selected at random and had answered yes to the question,...
*Please show your work *Be sure to round z-values to 2 decimal places and round any...
*Please show your work *Be sure to round z-values to 2 decimal places and round any probabilities to 4 decimal places *If doing a hypothesis test, be sure to sure state the Ho and Ha, you may choose the p-value or rejection region approach to hypothesis testing, unless otherwise noted in the question. *If you need to use the normal approximation, be sure to show the appropriate steps. 1. A survey of U.S. adults found that 8% say their favorite...
1.The sample mean is an unbiased estimator for the population mean. This means: The sample mean...
1.The sample mean is an unbiased estimator for the population mean. This means: The sample mean always equals the population mean. The average sample mean, over all possible samples, equals the population mean. The sample mean will only vary a little from the population mean. The sample mean has a normal distribution. 2.Which of the following statements is CORRECTabout the sampling distribution of the sample mean: The standard error of the sample mean will decrease as the sample size increases....
1. A random number generator is used to select a number from 1 to 500 ?(inclusively)....
1. A random number generator is used to select a number from 1 to 500 ?(inclusively). What is the probability of selecting the number 595 ? What is the probability? 2.Identify the sample space of the probability experiment and determine the number of outcomes in the sample space. -Randomly choosing an even number between 10 and 20, inclusive The sample space is? (Use a comma to separate answers) There are _____ outcomes in the sample space 3. Determine the number...