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

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 85 Nashvillians yielded the following results: 64 had no antibodies, 16 had residual levels, a 5 had active levels. Does the prevalence of this disease in Nashville differ from the prevale 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 xi^2 statistic. c. Evaluate the null hypothesis using the y, 2 statistic with an a-level of 0.05. Some cancers are known to be associated with environmental factors such as diet. The below are from a study of a susceptible strain of mouse fed on two diets: standard lab a minimal diet. Does diet affect the probability of cancer developing in this strain of mice a. State the null and alternative hypotheses for this experiment (nondirectional). b. Calculate the expected outcomes of the experiment, xi^2 and the p value.

Explanation / Answer

Using Minitab:

Null Hypothesis: There is no association between Mouse and Diet Type

Null Hypothesis: There is association between Mouse and Diet Type

Tabulated Statistics: Mouse, Worksheet columns

Rows: Mouse   Columns: Worksheet columns

             Standard Minimal
                 Diet     Diet All

Cancerous          12       36   48
                 7.25    40.75

No cancer           9       82   91
                13.75    77.25

All                21      118 139

Cell Contents:      Count
                    Expected count

Pearson Chi-Square = 5.594, DF = 1, P-Value = 0.018
Likelihood Ratio Chi-Square = 5.324, DF = 1, P-Value = 0.021

Here P-value <0.021 we reject null hypothesis.

Hope this will be helpful. Thanks and God Bless You :-)

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