Question --- When testing a hypothesis, must both decisions for the f and t test
ID: 3222489 • Letter: Q
Question
Question --- When testing a hypothesis, must both decisions for the f and t tests be the same? I also need some input in knowing if my conclusions are correct.
My hypothesis was: Internationals students tend to be less homesick than other students at the University.
Based on the data from a survey I obtained the data below
F-test
Ho: The variation in homesickness between the populations of International Students and Non-International Students tends to be the same.
Ha: The variation in homesickness between the populations of International Students and Non-International Students tends to be the different.
The p-value of th F-test is 0.206, or 20.6%
Do NOT Reject Ho since p-value is greater than the significance level of 10%
Therefore we do not have enough evidence to support Ha
T-test
Ho: On average, the population of International USC students more homesick than other USC Students.
Ha: On average, International students are less homesick than other USC students
The p-value is 0.0312, or 3.12% (since, as expected, the non-international students have a higher mean response, meaning they are more homesick).
Reject Ho since the p-value is lower than 5% significance level.
Our proposed hypothesis (Ha) can be supported
International Students Non-Interanational Students Mean 4.22 5.17 Variance 2.37 1.18 Observations 15 15 df 14 14 F 2.004020101 P(F<=f) one-tail 0.205790506 F Critical one-tail 2.483725741Explanation / Answer
When testing a hypothesis, must both decisions for the f and t tests be the same?
Answer : No the decisions not necessarily be the same for both the tests conducted since F test and t test both have different assumptions and formulation.
Your conclusion as per both the tests are correct.