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

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Sample      X      N       Sample p
   1          435  875    0.497143
   2          378  854    0.442623

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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.