Use McNemar S Test to Compare Two Proportions from Matched $A$

question 89

Short Answer

Use McNemar s Test to Compare Two Proportions from Matched -pairs Data
-A researcher wants to determine whether there is a difference between two sunscreen lotions. Participants in a marathon race on a hot, sunny day applied lotion $A$ to one arm and lotion $B$ to the other arm. The results are shown in the table.


Is there a difference in the effectiveness of the two lotions in preventing sunburn? Use the critical-value method and the $\alpha = 0.05$ level of significance.

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Definitions:

SSR

Sum of Squares due to Regression, measuring the variation explained by the regression model in statistics.

SST

The total sum of squares in a dataset, representing the overall variation from the mean, and used in various statistical analyses to compute variance.

Multiple Regression

A statistical procedure that utilizes a variety of explanatory variables to predict the behavior of a dependent variable.

P-value

The probability of obtaining observations as extreme as, or more extreme than, the observed results of a statistical hypothesis test, assuming the null hypothesis is true.