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Rocky Mountain spotted fever (RMSF) is found throughout the US but differs in pr

ID: 3228063 • Letter: R

Question

Rocky Mountain spotted fever (RMSF) is found throughout the US but differs in prevalence in different areas. In the Pacific Northwest, 80% of the population have no RMSF antibodies, 15% have residual levels of antibodies, and 5% have active levels. Tests for the antibodies in 85 Nashvillians yielded the following result: 64 had no antibodies, 16 had residual levels, and 5 had active levels. Does the prevalence of this disease in Nashville differ from the prevalence in the Pacific Northwest? a. State the null and alternative hypotheses for this experiment (nondirectional). b. Calculate the expected outcomes of the experiment and the^2 statistic. c. Evaluate the null hypothesis using the 2 statistics with an a-level of 0.05.

Explanation / Answer

a)

H0: 1 = 2

H1: 1 2

b)

=(80-78)^2/78......+(5-5)^2/5=0.59775

c)

Critical value is 2.92. Hence, we cannot reject the null hypothesis

Pacific Northwest Nashville Total No 80 64 144 Residual 15 16 31 Active 5 5 10 Total 100 85 185 No 144/185 0.778378378 Residual 31/185 0.167567568 Active 10/185 0.054054054 EXPECTED Pacific Northwest Nashville Total No 78 66 144 Residual 17 14 31 Active 5 5 10 Total 100 85 185
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