Question

Underwater mortgages ~ A mortgage is termed “underwater” if the amount owed is greater than the...

Underwater mortgages ~ A mortgage is termed “underwater” if the amount owed is greater than the value of the property that is mortgaged. Using a 2010 Rasmussen poll of 1020 homeowners, investigators calculated a 95% confidence interval for the actual proportion of homeowners in US that have mortgages that were underwater. The confidence interval is given by (0.2662, 0.3221).

Which of the following statements are true? Select all the that apply.

Question 3 options:

A 99% confidence interval calculated using the same data will include more plausible values for the actual population proportion.

If the sample size had been double the sample size in the scenario above, then the 95% confidence interval would be half as wide as the one stated above.

If a different sample of the same size were to be selected, then there is a 95% chance that the new sample proportion will lie inside the confidence interval stated above.

If we took several samples of the same size as the scenario given above and constructed 95% confidence intervals for population proportion, then it is reasonable to expect 95% of these confidence intervals to contain the actual population proportion.

A 90% confidence interval for the population proportion calculated using the same data will be wider than the interval stated above.

If a different sample of the same size were to be selected and a 95% confidence interval constructed, then there is a 95% chance that the actual population proportion will lie inside the new confidence interval.
Math   Statistics-And-Probability   
0 0
Add a commentTranscribed image text
Next >

Homework Answers

Answer #1

The correct statements are:

a) A 99% confidence interval calculated using the same data will include more plausible values for the actual population proportion.

c) If a different sample of the same size were to be selected, then there is a 95% chance that the new sample proportion will lie inside the confidence interval stated above.

d) If we took several samples of the same size as the scenario given above and constructed 95% confidence intervals for population proportion, then it is reasonable to expect 95% of these confidence intervals to contain the actual population proportion.

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
A Gallup Poll of 1800 American adults in February 2009 asked the following question. “Which of...
A Gallup Poll of 1800 American adults in February 2009 asked the following question. “Which of the following presidents would you regard as the greatest: Washington, Franklin Roosevelt, Lincoln, Kennedy, or Reagan?” The order of the presidents was rotated to avoid bias. Based on the sample, a 95% confidence interval for the actual proportion American adults who choose Lincoln as the greatest is given by (0.1122, 0.2211). Which of the following statements are true? Select all the that apply. Question...
Solve the problem. A researcher is interested in estimating the proportion of voters who favor a...
Solve the problem. A researcher is interested in estimating the proportion of voters who favor a tax on e-commerce. Based on a sample of 250 people, she obtains the following 99% confidence interval for the population proportion,  Which of the statements below is a valid interpretation of this confidence interval? Group of answer choices A) If 100 different samples of size 250 were selected and, based on each sample, a confidence interval were constructed, exactly 99 of these confidence intervals would...
In order to investigate the difference between the average mortgages in the South and the North...
In order to investigate the difference between the average mortgages in the South and the North of the United States, two independent random samples were selected and the following statistics were calculated. South North Sample Size 40 45 Sample Mean (in $1000s) $70 $75 Sample standard deviation in ($1000s) $5 $7 a. Run a hypothesis test to prove that the mean mortgages in the South and the North of the United States are different using a significance level of 0.05....
A random sample of n individuals were selected. A 95% confidence interval ($52,000 to $70,000) was...
A random sample of n individuals were selected. A 95% confidence interval ($52,000 to $70,000) was constructed using the sample results. Which of the following statement(s) is/are true? (Can choose answer more than 1) If all possible samples of size n were drawn from this population, about 95% of the population means would fall in the interval ($52,000 to $70,000). We do not know for sure whether the population mean is in the interval $52,000 and $70,000. If all possible...
A random sample of n individuals were selected. A 95% confidence interval ($52,000 to $70,000) was...
A random sample of n individuals were selected. A 95% confidence interval ($52,000 to $70,000) was constructed using the sample results. Which of the following statement(s) is/are true? ( Can choose more than one answer) If all possible samples of size n were drawn from this population, about 95% of the population means would fall in the interval ($52,000 to $70,000). We do not know for sure whether the population mean is in the interval $52,000 and $70,000. If all...
A manufacturing company’s quality control personnel have recorded the proportion of defective items for each of...
A manufacturing company’s quality control personnel have recorded the proportion of defective items for each of 500 monthly shipments of one of the computer components that the company produces.The quality control department manager does not have sufficient time to review all of these data. Rather, she would like to examine the proportions of defective items for a sample of these shipments. a. Use Stat Tools to generate a simple random sample of size 25. b. Using the sample generated in...
A Statistics major student, wants to estimate the true proportion of the Minnesotans (between ages 22...
A Statistics major student, wants to estimate the true proportion of the Minnesotans (between ages 22 and 35) using Metro Transit. He surveys randomly selected 200 Minnesotans between the ages of 22 and 35 and finds that 62% of them use Metro Transit. A. What is the population and what is the measurement we are interested in? B. What proportion is the 62% mentioned in the problem? (sample/population?) C.Construct the 95% confidence interval to estimate the true proportion of Minnesotans...
Consider the following situation . . . Matilda has constructed three confidence intervals, all from the...
Consider the following situation . . . Matilda has constructed three confidence intervals, all from the same random sample. The confidence levels are 95%, 98%, and 99.9%. The confidence intervals are 6.4 < μ < 12.3, 5.1 < μ < 13.6, and 6.8 < μ < 11.9. Unfortunately, Matilda has forgotten which confidence interval goes with which level. Match each confidence interval with its level. Write a post for the discussion board that indicates which confidence interval goes with each...
For this term, we will create confidence intervals to estimate a population value using the general...
For this term, we will create confidence intervals to estimate a population value using the general formula: sample estimator +/- (reliability factor)(standard error of the estimator) Recall that the (reliability factor) x (standard error of the estimator)= margin of error (ME) for the interval. The ME is a measure of the uncertainty in our estimate of the population parameter. A confidence interval has a width=2ME. A 95% confidence interval for the unobserved population mean(µ), has a confidence level = 1-α...
1. Develop 90 %, 95 %, and 99% confidence intervals for population mean (µ) when sample...
1. Develop 90 %, 95 %, and 99% confidence intervals for population mean (µ) when sample mean is 10 with the sample size of 100. Population standard deviation is known to be 5. 2. Suppose that sample size changes to 144 and 225. Develop three confidence intervals again. What happens to the margin of error when sample size increases? 3. A simple random sample of 400 individuals provides 100 yes responses. Compute the 90%, 95%, and 99% confidence interval for...
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT