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se a chi-square goodness-of-fit test to determine whether the following red freq

ID: 3362773 • Letter: S

Question

se a chi-square goodness-of-fit test to determine whether the following red frequencies are distributed the same as the expected frequencies. Let alpha-.01 214 235 279 281 264 254 211 206 232 268 284 268 232 Use the chi-square test of independence, and the following contingency table to determine whether music preference is independent of geographic location. Use =0.01 5. Type of Music Preferred Rock R&B; Country Classical Geographic Region 18 32 41 Northeast 140 South West 52 134 154 / 27 13

Explanation / Answer

4)

chi-square = sum((Oi-Ei)^2/Ei) = 3.0999

Df = 7 - 1 = 6

p-value = 0.7962

As p-value is greater than the significance level, we fail to reject null hypothesis. This means there are not significant evidence to conclude that there is difference in observed and expected frequencies.

Category O E (Oi-Ei)^2/Ei 1 214 206 0.3107 2 235 232 0.0388 3 279 268 0.4515 4 281 284 0.0317 5 264 268 0.0597 6 254 232 2.0862 7 211 206 0.1214