2) In recent year, 77.8%-of recorded music sales were full-length CD\'s ; 12.8%

Question

2) In recent year, 77.8%-of recorded music sales were full-length CD's ; 12.8% digital downloads ; 3.8% singles; and the rest a mixture of other formats. A survey of college students and their recent music purchases indicated that out of 200 purchases, 48 were downloads; 135 were full-length CD's; 10 were singles; and the rest fit into the "other" category. At =0.05 , is there sufficient evidence to conclude that at least on of the proportion differs from its original value? 3) Three coins are tossed 72 times, and the number of heads is shown Number of heads Frequency 0 3 2 17 3 42 10 At =0.01 , test the Null Hypothesis that the coins are balanced and randomly tossed.

Explanation / Answer

ho: none of the proportions differs significantly from original value

h1: at least one of the proportions differs significantly from original value

chisq = 24.47

p-value = .0000048

with chisq = 24.47 and p-value < 0.05 i reject ho and conclude that at least one of the proportions differs significantly

type oi pi Ei = Pi*N = Pi*500 (Oi-Ei)^2/Ei CD's 135 0.7780 150.15 1.5294 digital donwload 48 0.1280 24.70 21.9682 singles 10 0.0380 7.33 0.9691 SUM 193 0.944 182.192 24.47

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