Question

In: Statistics and Probability

A 95% confidence interval for the proportion of Americans under the age of thirty who skip...

A 95% confidence interval for the proportion of Americans under the age of thirty who skip break-fast is found to be (0.2025, 0.2795). For each choice below, answer True or False:

a. T or F There is a 95% probability that the true proportion of Americans under the age of thirty who skip breakfast is between 20.25% and 27.95%.

b. T or F If this study were to be repeated many times with samples of the same size, then 95% of the time the true proportion will be between 0.2025 and 0.2795, on average.

c. T or F We can be 95% confident that, on average, the proportion of Americans under the age of thirty sampled who skip breakfast is between 0.2025 and 0.2795.

d. T or F We can be 95% confident that, on average, the proportion of Americans under the age of thirty who skip breakfast is between 0.2025 and 0.2795.

e. T or F If we were to construct one hundred confidence intervals, then 95% of them would contain the true proportion of Americans under the age of thirty who skip breakfast, five percent would not

Solutions

Expert Solution


Related Solutions

A newsgroup is interested in constructing a 95% confidence interval for the proportion of all Americans...
A newsgroup is interested in constructing a 95% confidence interval for the proportion of all Americans who are in favor of a new Green initiative. Of the 537 randomly selected Americans surveyed, 368 were in favor of the initiative. a. With 95% confidence the proportion of all Americans who favor the new Green initiative is between and . b. If many groups of 537 randomly selected Americans were surveyed, then a different confidence interval would be produced from each group....
A newsgroup is interested in constructing a 95% confidence interval for the proportion of all Americans...
A newsgroup is interested in constructing a 95% confidence interval for the proportion of all Americans who are in favor of a new Green initiative. Of the 555 randomly selected Americans surveyed, 385 were in favor of the initiative. Round answers to 2 decimal places where possible. a. With 95% confidence the proportion of all Americans who favor the new Green initiative is between and . b. If many groups of 555 randomly selected Americans were surveyed, then a different...
A newsgroup is interested in constructing a 95% confidence interval for the proportion of all Americans...
A newsgroup is interested in constructing a 95% confidence interval for the proportion of all Americans who are in favor of a new Green initiative. Of the 539 randomly selected Americans surveyed, 442 were in favor of the initiative. Round answers to 4 decimal places where possible. a. With 95% confidence the proportion of all Americans who favor the new Green initiative is between ____and _____ . b. If many groups of 539 randomly selected Americans were surveyed, then a...
You want to create a 95% confidence interval to estimate the proportion of Americans that like...
You want to create a 95% confidence interval to estimate the proportion of Americans that like beets. What is the minimum sample size you need to guarantee a margin of error no larger than .05?
A psychologist is interested in constructing a 95% confidence interval for the proportion of people who...
A psychologist is interested in constructing a 95% confidence interval for the proportion of people who accept the theory that a person's spirit is no more than the complicated network of neurons in the brain. 71 of the 811 randomly selected people who were surveyed agreed with this theory. Round answers to 4 decimal places where possible. a. With 95% confidence the proportion of all people who accept the theory that a person's spirit is no more than the complicated...
A psychologist is interested in constructing a 95% confidence interval for the proportion of people who...
A psychologist is interested in constructing a 95% confidence interval for the proportion of people who accept the theory that a person's spirit is no more than the complicated network of neurons in the brain. 67 of the 748 randomly selected people who were surveyed agreed with this theory. a. With 95% confidence the proportion of all people who accept the theory that a person's spirit is no more than the complicated network of neurons in the brain is between...
A psychologist is interested in constructing a 95% confidence interval for the proportion of people who...
A psychologist is interested in constructing a 95% confidence interval for the proportion of people who accept the theory that a person's spirit is no more than the complicated network of neurons in the brain. 66 of the 811 randomly selected people who were surveyed agreed with this theory. Round answers to 4 decimal places where possible. a. With 95% confidence the proportion of all people who accept the theory that a person's spirit is no more than the complicated...
A psychologist is interested in constructing a 95% confidence interval for the proportion of people who...
A psychologist is interested in constructing a 95% confidence interval for the proportion of people who accept the theory that a person's spirit is no more than the complicated network of neurons in the brain. 72 of the 835 randomly selected people who were surveyed agreed with this theory. Round answers to 4 decimal places where possible. a. With 95% confidence the proportion of all people who accept the theory that a person's spirit is no more than the complicated...
A psychologist is interested in constructing a 95% confidence interval for the proportion of people who...
A psychologist is interested in constructing a 95% confidence interval for the proportion of people who accept the theory that a person's spirit is no more than the complicated network of neurons in the brain. 74 of the 715 randomly selected people who were surveyed agreed with this theory. Round answers to 4 decimal places where possible. a. With 95% confidence the proportion of all people who accept the theory that a person's spirit is no more than the complicated...
7. A 95% confidence interval for the proportion of adults in Portland who have an iPhone...
7. A 95% confidence interval for the proportion of adults in Portland who have an iPhone is (0.303, 0.437). Find the number of people in the sample.7. A 95% confidence interval for the proportion of adults in BBC who have an iPhone is (0.303, 0.437). Find the number of people in the sample??
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT