Hypothesis Test for the population proportion

 

Suppose that you want to determine if the population proportion of males that binge drink is less than 0.5.

A 2001 study by the Harvard School of Public Health showed that out of 3925 college males, 1908 of

them were binge drinkers. Ho: p = 0.5 Ha: p < 0.5

 

A hypothesis test with the proportion uses the z, standard normal distribution.

 

  1. Go to Stat, Basic Statistics, 1 proportion.
  2. Your screen should look like this.

 

  1. Enter the summarized data. Enter n into the number of trials and enter the number of successes.
  2. Now click on Options.

  1. Don't worry about the first box.
  2. Enter the test proportion in the next box. In this case, enter 0.5.
  3. Enter the alternative that matches your alternative hypothesis.
    1. If you want a two-sided test, select "not equal" as your alternative.
    2. If you want a one sided test, select "less than" or  "greater than".
  4. Make sure that the box is checked for "Use test and interval based on normal distribution".
  5. Your output should look similar to the output below.

 

Test and CI for One Proportion

 

Test of p = 0.5 vs p < 0.5

 

 

                                   95%

                                 Upper

Sample     X     N  Sample p     Bound  Z-Value  P-Value

1       1908  3925  0.486115  0.499237    -1.74    0.041