Question

In: Statistics and Probability

In a random sample of 800 men aged 25 to 35 years, 24% said they live...

In a random sample of 800 men aged 25 to 35 years, 24% said they live with one or both parents. Construct a 95% confidence interval for the proportion of men aged 25 to 35 that live with their parents. Make sure to include every step and an interpretation.

Solutions

Expert Solution

Solution :

The 95% confidence interval for population proportion is given as follows :

Where, p̂ is sample proportion, q̂ = 1 - p̂, n is sample size and Z(0.05/2) is critical z-value to construct 95% confidence interval.

Sample proportion of men aged 25 to 35 years, who live with one or both parents is given by,

n = 800

Using Z-table we get, Z(0.05/2) = 1.96

​​Hence, 95% confidence interval for the proportion of men aged 25 to 35 that live with their parents is,

The 95% confidence interval for the proportion of men aged 25 to 35 that live with their parents is (0.2104, 0.2696).

Interpretation : We are 95% confident that the proportion of men aged 25 to 35 that live with their parents, lies between 0.2104 and 0.2696.

In other words, we are 95% confident that the percentage of men aged 25 to 35 that live with their parents, lies between 21.04% and 26.96%.

Please rate the answer. Thank you.

orchestra answered 1 year ago
Next > < Previous

Related Solutions

In a random sample 100 people ages 20 to 24, 25% said they were smokers. In...
In a random sample 100 people ages 20 to 24, 25% said they were smokers. In a random sample of 300 people ages 25 to 29, 51 of them said they were smokers. Test the claim that the proportion of smokers in the two age groups is the same. Use a significance level of 0.05. Provide the following. a. the null and alternative hypothesis b. the test statistic c. the p-value d. the final conclusion in nontechnical terms e. construct...
The total cholesterol levels of a sample of men aged​ 35-44 are normally distributed with a...
The total cholesterol levels of a sample of men aged​ 35-44 are normally distributed with a mean of 223 milligrams per deciliter and a standard deviation of 37.2 milligrams per deciliter.​(a) What percent of the men have a total cholesterol level less than 228 milligrams per deciliter of​ blood?​(b) If 251 men in the​ 35-44 age group are randomly​ selected, about how many would you expect to have a total cholesterol level greater than 259 milligrams per deciliter of​ blood?​(a)...
in a random sample of 500 people aged 20-24, 110 were smokers. in a random sample...
in a random sample of 500 people aged 20-24, 110 were smokers. in a random sample of 450 people aged 25-29, 65 were smokers. test the claim that the proprtion of smokers age 20-24 is higher than the proportion of smokers age 25-29. use a significance level of 0.01. please show work!
In a random sample of 200 men, 125 said they used seat belts. In a random...
In a random sample of 200 men, 125 said they used seat belts. In a random sample of 300 women, 65 said they used seat belts. Test the claim that women are less safety-conscious than men at α = 0.01. Use the P-value method.
You plan to retire 35 years from now. You expect that you will live 25 years...
You plan to retire 35 years from now. You expect that you will live 25 years after retiring. You want to have enough money upon reaching retirement age to withdraw $180,000 from the account at the beginning of each year you expect to live, and yet still have $2,500,000 left in the account at the time of your expected death (60 years from now). You plan to accumulate the retirement fund by making equal annual deposits at the end of...
A simple random sample of 35 men from a normally distributed population results in a standard...
A simple random sample of 35 men from a normally distributed population results in a standard deviation of 11.4 beats per minute. The normal range of pulse rates of adults is typically given as 60 to 100 beats per minute. If the range rule of thumb is applied to that normal range, the result is a standard deviation of 10 beats per minute. Use the sample results with a 0.10 significance level to test the claim that pulse rates of...
A simple random sample of 35 men from a normally distributed population results in a standard...
A simple random sample of 35 men from a normally distributed population results in a standard deviation of 12.5 beats per minute. The normal range of pulse rates of adults is typically given as 60 to 100 beats per minute. If the range rule of thumb is applied to that normal​ range, the result is a standard deviation of 10 beats per minute. Use the sample results with a 0.10 significance level to test the claim that pulse rates of...
Suppose that the sample proportion for the U.S. population aged between 25 and 34 years that...
Suppose that the sample proportion for the U.S. population aged between 25 and 34 years that has a Bachelors’s degree or higher is .35. Further suppose that this estimate came from a survery of 1282 people. (a) What are the end points of a 90% confidence interval estimate for the population proportion? (Round to 2 digits after the decimal place.) [ , ] (b) What are the end points of a 95% confidence interval estimate for the population proportion? (Round...
According to the National Health Statistics Reports, a sample of 33 men aged 20–29 years had...
According to the National Health Statistics Reports, a sample of 33 men aged 20–29 years had a mean waist size of 36.9 inches with a sample standard deviation of 8.8 inches. What is the 95% confidence interval for the mean waist size?
In a sample of 50 men, 33 said they used seat belts. In a sample of...
In a sample of 50 men, 33 said they used seat belts. In a sample of 64 women, 48 said they used seatbelts. Step 1: Calculate the margin of error of a 90% confidence interval for the true difference between the proportions of men and women using a seat belt. Step 2: Construct a 90% confidence interval for the true difference between the proportions of men and women using seat belts.
ADVERTISEMENT
Subjects
ADVERTISEMENT
Latest Questions
ADVERTISEMENT