I’m studying for my Statistics class and need an explanation.
I HAVE ATTACHED A COPY OF AN ANSWER KEY FOR THIS COURSE. PLEASE MODELS YOUR ANSWERS LIKE THE ONES SHOWN IN RED ON THE ANSWER KEY.
Question 1:Suppose an educational researcher wants to test whether, on average, there is a difference in number of school absences per year between students in Colorado school districts who have a 4-day school week compared with students in Colorado districts who have a 5-day school week. (25 points total)
The researcher collects data for two simple random samples, one of 14 students and the other of 17 students. One sample of students attend schools in 4-day districts and the other attend schools in 5-day districts. The researcher determines that the mean difference in school absences between the two groups is 2 school days per year. The researcher conducts a two-tailed, two-sample t‑test for a difference in means using a=0.05.
- a) Write the null and alternative hypotheses for testing the mean difference in number of days absent between the two groups. (5 points)
- b) What are the degrees of freedom for the statistical test that the researcher will conduct? (5 points)
- c) What is the critical value for t that the researcher needs to use when determining whether their results are statistically significant? (5 points)
Using additional information (not shown), the researcher determines, the p-value for the difference in means is <0.10, calculating a t score of 1.90.
- a)Based on the information provided above, report the conclusion the researcher should draw about this hypothesis test, and explain the substantive meaning of this conclusion. (5 points)
- b) If the researcher had started out with a=0.10, what conclusion would the researcher have drawn about the same hypothesis test and what would the substantive meaning of their conclusion been? (5 points)