Answered: How often do you go out dancing? This…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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How often do you go out dancing? This question was asked by a professional survey group on behalf of the National Arts Survey. A random sample of n₁ = 95 single men showed that r₁ = 23 went out dancing occasionally. Another random sample of n₂ = 92 single women showed that r₂ = 19 went out dancing occasionally. Note: For degrees of freedom d.f. not in the Student's t table, use the closest d.f. that is smaller. In some situations, this choice of d.f. may increase the P-value a small amount and thereby produce a slightly more "conservative" answer.

(a) Do these data indicate that the proportion of single men who go out dancing occasionally is higher than the proportion of single women who do so? Use a 5% level of significance. List the assumptions you made in solving this problem. Do you think these assumptions are realistic?

(i) What is the level of significance?

What is the value of the sample test statistic? (Round your answer to three decimal places.)

(b) Compute a 90% confidence interval for the population difference of proportions

p₁ − p₂

of single men and single women who occasionally go out dancing. (Round your answers to three decimal places.)

lower limit
upper limit

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