Chapter 15.1 Homework Graded Assignment | Back to Assignment Due Friday 12.01.17

Question

Chapter 15.1 Homework Graded Assignment | Back to Assignment Due Friday 12.01.17 at 11:45 PM Attempts: Keep the Highest: /8 8. The chi-square goodness-of-fit test Aa Aa Suppose you are reading a study conducted in the year 2000 about adolescent girls with anorexia nervosa in the United States. The authors report the following count data on regions where the 933 adolescent girls with anorexia nervosa in their random sample reside Observed Counts Region West South Midwest Northeast 229 369 197 138 You wonder whether the differences in the cell counts are due to the disease being more prevalent in certain areas of the country, whether the study simply included more girls from certain regions, or whether the distribution matches the geographic distribution of the u.S. population. You obtain the following data from the 2000 census. Percent Distribution of the U.S. Population by Region search

Explanation / Answer

Null Hypothesis: The sample of 933 adolescent girls with anorexia nervosa is a random sample from a population with these proportions: 22.46%(West), 35.62%(South), 22.88%(Midwest) and 19.04%(Northeast)
Option (A)

chi-square = 15.97

p-value =CHISQ.DIST.RT(15.97,3) = 0.0011

As p-value is less than the significance level of 0.05, we reject the null hypothesis.

There are significant evidence to conclude that the propotions of adolescent girls with anorexia nervosa in the four geographics regions differe from the corresponding proportions for the total US population

Region Relative Freq Expected Count Observed Count (Oi-Ei)^2/Ei West 22.46% 209.5518 229 1.80 South 35.62% 332.3346 369 4.05 Midwest 22.88% 213.4704 197 1.27 Northeast 19.04% 177.6432 138 8.85 15.97

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