Question

In what follows use any of the following tests: Regression, multiple regression, one-sided t-test, or two-sided t-test. All conclusions should be based on 5% P-value threshold.

Choose the best fitting answer.
Open Soda_in_Schools data. SETUP: The Schools district compared two schools, one that serves soda drinks for lunch and one that does not. They collected the weight of the students and wanted to see if there is an increase in the weight of the students where soda drinks were served. Given the data, your job is to perform the appropriate statistical test or procedure and help them decide.
1. What test did you perform?
a. Regression
b. ââMultiple regression
c. One-sided t-test
d. ââTwo-sided t-test
2. What is the P-value?
a. 0.982427
b. 0.000193
c. 0.245782
d. 0.122891
e. None of these
3. What is the Statistical interpretation?
a. Since P-value is very small we can conclude that the more soda the students drink the heavier they get.
b. ââSince P-value is too large we cannot conclude that there is an increase in studentsâ weight when soda drinks were served.
c. Since P-value is too large we cannot conclude that studentsâ weight are different for these two schools.
d. None of these.
4. What is the conclusion?
a. Test is inconclusive; thus nothing can be concluded.
b. Test is inconclusive; thus we cannot claim that the average weights are different.
c. Test is inconclusive; thus we cannot claim that there is a correlation between drinking soda and weight.
d. None of these.

Answer 1

1. d. Two sided t-test

2. b. 0.000193

3. a. Since p- value is very small we can conclude that the more soda the student drink the heavier they get.

4. c. Test in inconclusive; thus we cannot claim that there is a correlation between drinking soda and weight.

Explanation:

The hypothesis testing is used to test the claim against the alternative hypothesis. The p value is determined in order to conclude the result for the test as whether to accept or reject the null hypothesis. The null hypothesis can be accepted when the p value is greater than the critical value of the t-test.