Please answer 52.b) and explain how you came up with the z values for alpha and

Question

Please answer 52.b) and explain how you came up with the z values for alpha and beta.

hiers find their work rewarding and satisfy- ing? The article "Work-Related Attitudes" (Psych. Rep., 1991:443-450) reports the results of a survey of 395 elementary school teachers and 266 high school teachers. Of the elementary school teachers, 224 said they were very satisfied with their jobs, whereas 126 of the high school teachers were very satisfied with their work. Estimate the difference between the proportion of all elementary school teachers who are satisfied and all high school tea- chers who are satisfied by calculating a CI. 52. A random sample of 5726 telephone numbers from a certain region taken in March 2002 yielded 1105 that were unlisted, and 1 year later a sample of 5384 yielded 980 unlisted numbers. a. Test at level .10 to see whether there is a difference in true proportions of unlisted numbers between the 2 years. ) and p2 = .18, what sample sizes (m n) would be necessary to detect such a difference with probability .90? Ionizing radiation is being given increasing attention as a method for preserving horticultural products. The article The Influence of Gamma-

Explanation / Answer

Answer:

Sample size for difference between 2 proportions

P1=0.20   p2=0.18

Z values at 90% level = 1.645

(beta is not given, z for beta not included)

n = (Z/2)2 * (p1(1-p1)+p2(1-p2)) / (p1-p2)2

=1.6452 *(0.20*(1-0.20)+0.18*(1-0.18))/(0.20-0.18)2

=2080.93

The sample size required for each group = 2081

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