Questions: A researcher asks whether attending a private highschool leads to hig

Question

Questions: A researcher asks whether attending a private highschool leads to higher or lower performance on a test of socialskills when compared to students attending public schools. A sampleof 100 students from a private school produces a mean score of71.30. The population mean (m) for students from public highschools 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 thepopulation?
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?

Explanation / Answer

Here the reasearcher use the two tailed test because here theresearcher asks whether attending a private high school leads tohigher or lower (both cases). Therefore he used twotailed alternative hypothesis: Attending a private high school leads todifference in performance null hypothesis: Attending a private high school does not leads todifference in performance According to the given information the calculated value of 'z' isless than the critical value of 'z' so we accept the nullhypothesis and the researcher conclude that Attending a privatehigh school does not leads to difference in performance

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