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Hypothesis Testing, Statistics Problem Example

Pages: 1

Words: 202

Statistics problem

In order to evaluate whether attending private school leads to higher test scores than attending public school, the researcher took the average from the test and performed a number of tests to come up with a z-score:

  • The researcher should likely use a two-tailed test because he/she is interested in a more conservative appraisal of whether private students perform better on these tests;
  • The null hypothesis is: there is no difference in performance on the test between students from public and private schools
  • The alternate hypothesis is: there is a difference in performance on the test between students from public and private schools
  • With a z score of -1.54, the researcher would see that it is less than the criteria of -1.96 and would fail to reject the null hypothesis
  • No, the results are not statistically significant because they are less than the critical value established
  • The probability of making a type 1 error is 5%- it is failing to accept something that is true. In this example, the probability of making a type 1 error is equal to alpha or 5%
  • The probability of making a type 2 error is 20%- a type 2 error would mean that the individual failed to accept a result that is true.
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