Hypothesis test for one population mean.
A researcher asks whether attending a private high school leads to higher or lower performance on a test of social skills when compared to students attending public schools. A sample of 100 students from a private school produces a mean score of 71.30. The population mean (m) for students from public high schools is 75.62. The population standard deviation is 28. Zobt is -1.54. Zcrit is ± 1.96.
- Should the researcher use a one-tailed or a two-tailed test? Why?
- What is the alternative hypothesis?
- What is the null hypothesis?
- What should the researcher conclude about this relationship in the population?
- Are the results significant? Explain your response.
- What is the probability of making a Type I error?
- If a Type I error were made, what would it mean?
- What is the probability of making a Type II error?
- If a Type II error were made, what would it mean?