In the past 20 years or so sexual education in school has ei

In the past 20 years or so sexual education in school has either been eliminated or changed to \"abstinence only\" education, even though countless studies showed that \"abstinence only\" education programs have no effect on teen sexual activity or teen pregnancy. In recent years, there has been a switch back to programs that teach abstinence AND the use of condoms and contraceptives. Do the new programs have any effect on teen pregnancy?

The following data represent the number of teen pregnancies in a random sample of 6 different school districts in Harris County (Waco), Texas before and after the implementation of a comprehensive sexual education program focusing on abstinence AND the use of condoms and contraceptives.

School District

Teen Pregnancies Before
the new Sex Ed Program (2008)

Teen Pregnancies After
the new Sex Ed Program (2011)

At the 0.01 level, can we say that the implementation of a comprehensive sexual education program has decreased teen pregnancies in Harris County (Waco), Texas?

state:

1. The hypothesis
2. The test statistic
3. The critical value or the p-value
4. The decision you made, why you made it, and how does it answer the original question.

Solution

1. The hypothesis

H0: mu1 = mu2

Ha: Mu1 < mu2

Left tailed test for two means.

2) As sample size <30, t statistic can be used

The T-value is 2.485745. The P-Value is 0.016112. The result is not significant at p < 0.01.

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Whenever p < alpha, we conclude that H0 is true. Hence there is no difference between the two means.