Regarding point estimates and confidence interval estimates, which one of the following statements is FALSE?Group of answer choicesFor both estimates we assume that the observations are independent.For both estimates we assume that the population distribution of the variable (X) is approximately Normal.An indication of the error due to sampling is only provided for a confidence interval estimate.For both estimates, a larger sample size means a more precise estimateBoth estimates are calculated using sample data

Question

...expand

🧐 Not the exact question you are looking for?Go ask a question

Solution 1

The false statement is: "For both estimates we assume that the population distribution of the variable (X) is approximately Normal."

Here's why:

Point estimates and confidence interval estimates do not always require the assumption that the population distribution is approximately Normal. This assumption is necessary when using methods that are based on the Normal distribution, such as the t-test or the z-test. However, there are many other methods for point estimation and confidence interval estimation that do not require this assumption, such as non-parametric methods or bootstrap methods. Therefore, it is not always necessary to assume a Normal distribution for both types of estimates.

This problem has been solved

Solution 2

The false statement is: "For both estimates we assume that the population distribution of the variable (X) is approximately Normal."

Here's why:

"For both estimates we assume that the observations are independent." - This is true. Independence of observations is a common assumption in many statistical procedures, including both point estimation and confidence interval estimation.
"For both estimates we assume that the population distribution of the variable (X) is approximately Normal." - This is false. While the normality assumption is often used for confidence interval estimation, it is not necessary for point estimation. Point estimates are simply calculated from the sample data and do not require any assumptions about the population distribution.
"An indication of the error due to sampling is only provided for a confidence interval estimate." - This is true. Confidence intervals provide a range of values that likely contain the population parameter, giving an indication of the potential error due to sampling. Point estimates do not provide this information.
"For both estimates, a larger sample size means a more precise estimate." - This is true. Larger sample sizes generally lead to more precise estimates, for both point estimates and confidence intervals.
"Both estimates are calculated using sample data." - This is true. Both point estimates and confidence intervals are calculated using sample data.

This problem has been solved

Solution 3

Sure, I can do that. However, I need to know the text you're referring to. Could you please provide it?

Similar Questions

Discuss the difference between point estimates and interval estimates. Explain which estimate is more accurate.

Suppose (35,40) is a 95% confidence interval estimate for a population mean 𝜇. Which of the following are true statements?I. There is a .95 probability that 𝜇 is between 35 and 40.II. If 100 random samples of the given size are picked and a 95% confidence interval is calculated from each, then 𝜇 will be in 95 of the resulting intervals.III. If 95% confidence intervals are calculated from all possible samples of the given size, 𝜇 will be in 95% of these intervals.I and III and IIIII and IIII, II, and IIINone of the above gives the complete set of true responses.

Researchers would like to estimate the proportion of adults who have dined out in the last week. They will report the sample proportion from a simple random sample (SRS) of adults as a point estimate for the population proportion. Which of the following statements must be true about the sample proportion as a point estimate for the population proportion? (A) If researchers select an SRS of size n = 200, the estimator will have more variability than if they select an SRS of size n = 400. (B) If researchers select an SRS of size n = 200, the estimator will have less variability than if they select an SRS of size n = 400. (C) If researchers select an SRS of size n = 200, the estimator will be biased, but if they select an SRS of size n = 400, the estimator will be unbiased. (D) If researchers select an SRS of size n = 200, the estimator will be unbiased, but if they select an SRS of size n = 400, the estimator will be biased. (E) Whether the researchers select an SRS of size n = 200 or n = 400, the estimator will be biased since the only way to have an unbiased estimator is to conduct a census.

Which of the following statements is correct?Question 5Select one:a.A p-value estimates the probability that the observed difference between two groups might have occurred due to chance alone.b.A p-value estimates the probability that the observed difference between two groups might have occurred due to one group being better than the other.c.A confidence interval cannot provide information about the precision of a study result.d.A confidence interval can estimate the sample size of the study.

For confidence interval estimates, which of the following statements is FALSEGroup of answer choicesincreasing the sample size decreases the width of the confidence intervalusing a sample standard deviation instead of the population standard deviation always results in a wider confidence intervalthe width of the confidence interval increases as we demand more confidencea 95% confidence interval for the mean (with population standard deviation known) will be narrower than a 99% confidence interval

1/3

Upgrade your grade with Knowee

Get personalized homework help. Review tough concepts in more detail, or go deeper into your topic by exploring other relevant questions.