(1 point) (a) Find the size of each of two samples (assume that they are of equa

Question

(1 point) (a) Find the size of each of two samples (assume that they are of equal size) needed to estimate the difference between the proportions of boys and girls under 10 years old who are afraid of portions of boys and gins under 10 years old who spiders. Assume the worst case scenario for the value of both sample propot ons we want a % confidence level and for the e nor to e smaller than Answer: (b) Again find the sample size required, as in part (a), but with the knowledge that a similar student last year found that the proportion of boys afraid of spiders is 0.56 and the proportion of giris afraid of spiders was 0.62. Answer

Explanation / Answer

a)

( p[lese try 329 if above comes wrong due to rounding error)

b)

( p[lese try 317 if above comes wrong due to rounding error)

p1          = 0.5 q1=1-p1= 0.5 p2          = 0.5 q2=1-p2= 0.5 here margin of error E = 0.08 for96% CI crtiical Z          = 2.0537 required sample size n =         (p1q1+p2q2)*(Z/E)2= 330.00

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