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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?
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