A 2001 study asked 1,924 male and 3,666 female undergraduate college students th

Question

A 2001 study asked 1,924 male and 3,666 female undergraduate college students their favorite color. A 95% confidence interval for the difference between the proportions of males and females whose favorite color is black (pmale pfemale) was calculated to be (0.02, 0.06). Based on this information, determine if the following statements are true or false.

95% of random samples will produce 95% confidence intervals that include the true difference between the population proportions of males and females whose favorite color is black.

We are 95% confident that the true proportion of males whose favorite color is black is 2% lower to 6% higher than the true proportion of females whose favorite color is black.

The 95% confidence interval for (pfemale pmale) cannot be calculated with the given information.

95% of random samples will produce 95% confidence intervals that include the true difference between the population proportions of males and females whose favorite color is black.

We are 95% confident that the true proportion of males whose favorite color is black is 2% lower to 6% higher than the true proportion of females whose favorite color is black.

The 95% confidence interval for (pfemale pmale) cannot be calculated with the given information.

Explanation / Answer

95% confidence interval means 95% of the interval will include true population parameter.

So the answer is

95% of the random samples will produce 95% confidence interval that include true population difference between population proportion of males and females whose favourite color is black

Related Questions

Navigate

• Browse (All)
• Browse A
• Subjects

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.