Please answer this short questions using the table attached.
Instructions: In 2023, the Denver Nuggets unfortunately beat the Miami Heat in the NBA Championships. Beth is a Nuggets fan. Alex is Heat fan. Even though the Nuggets won the championship, they need to know once and for all: which team had the better players during the regular season in 2023? You decide to test this using an independent samples t-test to compare the average field goal percentage for the players on each team during the regular season.
1-What is the null hypothesis?
2-What is the alternative hypothesis?
3-What is the risk level?
A).05
B) .01
C) .5
D) .25
4-What is the best statistical test to use?
A)t-test for dependent sample
B)correlation test
C) t-test for independent sample
D) z-test
E) ANOVA
5-Compute the test statistic. The formula is below for you. Also, remember to use the variance rather than the standard deviation in your calculation. You have already calculated the variance for your previous assignment, so that part is already done! Put your calculated t value below, round your answer to two decimal places:
6-Now it’s time to compare our obtained value (the one you just calculated) to the critical value. First, we’ll need the degrees of freedom.
What are the degrees of freedom?
A)39
B) 36
C) 28
D) 40
7-Should we use a “one tailed” or a “two tailed” test for this?
Hint: To figure this out, think about whether it is directional or non-directional. Take a look at your alternative hypothesis (above!), and think about the prompt for the assignment—did we expect a specific team to be better than the other (directional), or are we simply looking at whether the teams are different (non-directional)
8-What is the critical value for this statistical test? (hint: you’ll need your answers to the previous two questions, as well as your “level of risk”; remember, if the exact degrees of freedom aren’t in the t-test table of critical values, you can choose the closest value that is there).
A)2.438
B) 2.03
C) 2.021
D) 1.69
9-Write up your results as you would see it in a results section of an empirical research paper (in
APA style). Make sure to include the means and SDs.
10-Based on your answer to the previous question, what is your decision?
A) Fail to reject the null hypothesis
B) Not enough information to decide
C) Reject the null hypothesis
11-Imagine that you also wanted to compare if there was a difference between the average amount of time people get stuck in traffic in Denver versus Miami (unlike all the other data we have used this semester, these results are entirely made up!).
An independent samples t-Test comparing the average amount of time spent in traffic per
week was statistically significant t(500) = 3.24,
p < .05. The average time spent in traffic was significantly more for those living in Miami (M =
0.75, SD = 0.32) than in Denver (M = 0.56, SD
= 0.13)Calculate the effect size for this new t-test, using the Pooled Variance Formula (Below).
Round your answer to two decimal places.
12-What "size" is this effect size?
A) Medium
B) Small
C) Large
D) There isn't enough information to answer this question.
13- A) Was your decision to reject the null hypothesis or fail to reject the null hypothesis for individual assignment # 11? Why did you make this choice?
B) Would your decision to reject the null hypothesis have changed if you had done a one tailed, as opposed to a two-tailed test? Why or why not?
