# Statistics Proportion

## Statistics Proportion: Using Minitab

It is a popular myth that men are heavier drinkers than women.

**QUESTION:**

To test this, random samples of 875 Men and 854 Women are selected from a Saturday afternoon football crowd, and given a standard sobriety test; 435 men and 378 women failed the test. Do these results support the popular myth? Give a reason for your answer; using minitab attach document in tutorial

**Solution:**

**Null Hypothesis: **

H0: **Alternative Hypothesis: **

H1: **Test Statistic:**

Z = where

We obtain the result using Minitab

**************************Sample N Sample p**

1 435 875 0.497143

2 378 854 0.442623

Difference = p (1) - p (2)

Estimate for difference: 0.0545199

95% lower bound for difference: 0.0150918

Test for difference = 0 (vs > 0): Z = 2.27 P-Value = 0.011

Fisher's exact test: P-Value = 0.013

**Conclusion:**

At α=0.05, since the p value is < 0.05, we reject the null hypothesis, thus we conclude that that men are heavier drinkers than women.