A study was conducted to determine what proportion of all college students consi

Question

A study was conducted to determine what proportion of all college students considered themselves as full-time students. A random sample of 300 college students was selected and 210 of the students responded that they considered themselves full-time students. A computer program was used to generate the following 95% confidence interval for the population proportion: (0.64814, 0.75186). Which of the following practical interpretations is correct for this confidence interval?

a. We are 95% confident that the percentage of the 300 students who responded that they considered themselves full-time students falls between 0.648 and 0.752.

b. We are 95% confident that the percentage of the 300 students who responded that they considered themselves full-time students was 0.700.

c. We are 95% confident that the percentage of all college students who consider themselves full-time students was 0.700.

d. We are 95% confident that the percentage of all college students who consider themselves full-time students falls between 0.648 and 0.752.

Explanation / Answer

We are 95% confident that the population proportion lies in between 0.648 and 0.752

( Option a )

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