Perform a Test for Homogeneity of Proportions
-A Random Sample $\alpha = 0.05$

question 7

Short Answer

Perform a Test for Homogeneity of Proportions
-A random sample of 400 men and 400 women was randomly selected and asked whether they planned to attend a concert in the next month. The results are listed below. Perform a homogeneity of proportions test to test the claim that the proportion of men who plan to attend a concert in the next month is the same as the proportion of women who plan to attend a concert in the next month. Use $\alpha = 0.05$ .
$\begin{array}{l|cc} & \text { Men } & \text { Women } \\\hline \text { Plan to attend concert } & 230 & 255 \\\text { Don't plan to attend concert } & 170 & 145\end{array}$

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Definitions:

Trend

The general direction in which something is developing or changing over time.

Seasonal Effect

Variations in data or phenomena that occur at specific regular intervals within a year, attributable to the changing seasons.

Cyclical Effect

Economic fluctuations or trends that occur over regular time intervals, often related to business cycles.

Seasonal Additive Model

In time series analysis, a model that adjusts for seasonal effects by adding seasonal variations at a constant level.