Question

You take a survey of 100 students and find that 78 of them prefer chocolate over vanilla. You find a 90% confidence interval to be (0.712, .848), and you state that you are 90% confident that the proportion of students who prefer chocolate over vanilla is between .712 and .848. What do you meant when you say 90% confident? check those that apply.

1).If you were to repeatedly take random samples and calculate 90% confidence intervals, 90% of the intervals would contain the parameter.

2.) 90% of all intervals generated from a random sample of 100 students would contain the statistic.

3.)The probability that a 90% confidence interval created from a random sample contains the true parameter value is 90%.

4.)The parameter is between .712 and .848 90% of the time.

5.)90% of intervals contain the statistic .78.

I checked off 2 and 5 and still comes back wrong. not sure which ones are right or wrong.

Answer #1

You take a survey of 100 students and find that 78 of them prefer chocolate over vanilla. You find a 90% confidence interval to be (0.712, .848), and you state that you are 90% confident that the proportion of students who prefer chocolate over vanilla is between .712 and .848. What do you meant when you say 90% confident? check those that apply.

coorect option is

1).If you were to repeatedly take random samples and calculate 90% confidence intervals, 90% of the intervals would contain the parameter.

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