You may need to use the appropriateappendix tableortechnologyto answer this question.

Independent random samples ofn₁= 600 andn₂= 480

observations were selected from binomial populations 1 and 2, andx₁= 333 andx₂= 379 successes were observed.

(a) Find a 90% confidence interval for the difference (p₁p₂) in the two population proportions. (Round your answers to three decimal places.)

______ to________

(b) Can you conclude that there is a difference in the population proportions based on the confidence interval found inpart (a)?

(1) No. Since zero is not contained in the confidence interval, the two population proportions are likely to be equal.

(2)Nothing can be determined about the difference between the two population proportions.

(3) No. Since zero is contained in the confidence interval, the two population proportions are likely to be equal.

(4) Yes. Since zero is not contained in the confidence interval, the two population proportions are likely to be different.

(5)Yes. Since zero is contained in the confidence interval, the two population proportions are likely to be different.