A researcher wants to study the performance of high school students of district Win the mathematics final exam. To study the performance, he uses the marks scored by the students in mathematics M as a function of the average number of hours spent by the student on practice H and number of days the student attended the mathematics class in school D. For his study, he selects a random sample of 150 high school students and estimates the following regression function: M = 10.25 +2.25H+ 1.25D. The researcher wants to test whether or not changing the average number of hours spent by the student on practice has a statistically significant impact on the marks scored by the students in mathematics. Keeping the other variables constant, the null and the alternative hypotheses of the test conducted by the researcher are Ho: B₁ = 0 vs. H₁: ß₁ #0. The test statistic for the test is 1.25. Therefore, the p-value of the test is (Round your answer to two decimal places.) If the study uses two-sided test with the 5% significance level, then the p-value suggests that we the null hypothesis. The researcher now wants to test whether or not increasing the number of days the student attended the mathematics class in school significantly improves the marks scored by the students in mathematics. Keeping the other variables constant, the researcher wants to calculate the p-value for the test Ho² ß₂ = 0 vs. H₁: ß₂ > 0. The test statistic for this test is 1.25. Therefore, the p-value of the test is (Round your answer to two decimal places.) If the study uses one-sided test with the 5% significance level, then the p-value suggests that we the null hypothesis.
A researcher wants to study the performance of high school students of district Win the mathematics final exam. To study the performance, he uses the marks scored by the students in mathematics M as a function of the average number of hours spent by the student on practice H and number of days the student attended the mathematics class in school D. For his study, he selects a random sample of 150 high school students and estimates the following regression function: M = 10.25 +2.25H+ 1.25D. The researcher wants to test whether or not changing the average number of hours spent by the student on practice has a statistically significant impact on the marks scored by the students in mathematics. Keeping the other variables constant, the null and the alternative hypotheses of the test conducted by the researcher are Ho: B₁ = 0 vs. H₁: ß₁ #0. The test statistic for the test is 1.25. Therefore, the p-value of the test is (Round your answer to two decimal places.) If the study uses two-sided test with the 5% significance level, then the p-value suggests that we the null hypothesis. The researcher now wants to test whether or not increasing the number of days the student attended the mathematics class in school significantly improves the marks scored by the students in mathematics. Keeping the other variables constant, the researcher wants to calculate the p-value for the test Ho² ß₂ = 0 vs. H₁: ß₂ > 0. The test statistic for this test is 1.25. Therefore, the p-value of the test is (Round your answer to two decimal places.) If the study uses one-sided test with the 5% significance level, then the p-value suggests that we the null hypothesis.
Managerial Economics: Applications, Strategies and Tactics (MindTap Course List)
14th Edition
ISBN:9781305506381
Author:James R. McGuigan, R. Charles Moyer, Frederick H.deB. Harris
Publisher:James R. McGuigan, R. Charles Moyer, Frederick H.deB. Harris
Chapter4A: Problems In Applying The Linear Regression Model
Section: Chapter Questions
Problem 2E
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Transcribed Image Text:A researcher wants to study the performance of high school students of district Win the mathematics final exam. To study the performance, he uses the marks scored by the students in mathematics
M as a function of the average number of hours spent by the student on practice H and number of days the student attended the mathematics class in school D. For his study, he selects a random
sample of 150 high school students and estimates the following regression function:
M
= 10.25 +2.25H+ 1.25D.
The researcher wants to test whether or not changing the average number of hours spent by the student on practice has a statistically significant impact on the marks scored by the students in
mathematics.
Keeping the other variables constant, the null and the alternative hypotheses of the test conducted by the researcher are Ho: B₁ = 0 vs. H₁: ß₁ #0.
The test statistic for the test is 1.25.
Therefore, the p-value of the test is
(Round your answer to two decimal places.)
If the study uses two-sided test with the 5% significance level, then the p-value suggests that we
the null hypothesis.
The researcher now wants to test whether or not increasing the number of days the student attended the mathematics class in school significantly improves the marks scored by the students in
mathematics.
Keeping the other variables constant, the researcher wants to calculate the p-value for the test Ho² ß₂ = 0 vs. H₁: ß₂ > 0.
The test statistic for this test is 1.25.
Therefore, the p-value of the test is
(Round your answer to two decimal places.)
If the study uses one-sided test with the 5% significance level, then the p-value suggests that we
the null hypothesis.
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