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Hypothesis Testing: Type I & Type II errors

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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Solution Summary

The solution provides step by step method for the calculation of testing of hypothesis, Type I error and Type II error. The solution also provides the meaning of type I and type II errors. Formula for the calculation and Interpretations of the results are also included. Interactive excel sheet is included. The user can edit the inputs and obtain the complete results for a new set of data.