Students applying to graduate schools in many disciplines are required to take the Graduate Record Examination (GRE). An ambitious undergraduate student creates a study program that she believes will greatly increase students’ GRE scores, relative to the general population. She recruits a sample of 36 students believed to be representative of the larger undergraduate student population and puts them through the study program. Afterwards, they complete the GRE and receive a mean score of M = 1052. The GRE is normally distributed in the general population with a mean of μ = 1000 and a standard deviation of σ = 150. a) What are the null and alternative hypotheses for this research study? b) A hypothesis test for this research scenario yielded z = 2.08, p = .04. If the researcher uses alpha = .05 as their criteria, what decision would they make about the null hypothesis and why? c) What would you conclude based on the results of the analysis conducted in question b? (i.e., relate your decision about the null hypothesis back to the research hypothesis) d) Would the decision about the null hypothesis from question b change if the researcher used alpha = .01 for the test? Why or why not?
Students applying to graduate schools in many disciplines are required to take the Graduate Record Examination (GRE). An ambitious undergraduate student creates a study program that she believes will greatly increase students’ GRE scores, relative to the general population. She recruits a sample of 36 students believed to be representative of the larger undergraduate student population and puts them through the study program. Afterwards, they complete the GRE and receive a mean score of M = 1052. The GRE is
a) What are the null and alternative hypotheses for this research study?
b) A hypothesis test for this research scenario yielded z = 2.08, p = .04. If the researcher uses alpha = .05 as their criteria, what decision would they make about the null hypothesis and why?
c) What would you conclude based on the results of the analysis conducted in question b? (i.e., relate your decision about the null hypothesis back to the research hypothesis)
d) Would the decision about the null hypothesis from question b change if the researcher used alpha = .01 for the test? Why or why not?
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