Questions 1-9. 25 new mothers were investigated about their sleeping hours per day before and after having a baby. Researchers want to know if new mothers’ sleeping hours have been significantly reduced. Sample average and sample standard deviation of D (before - after) are computed 2.5 and 4. Please test this hypothesis at 5% significance level and calculate the p-value.
Question 8. TRUE/FALSE? We are not confident that sleeping hours are reduced.
FALSE
TRUE
Question 9. What is the p-value of the test statistics you calculated?
0.002
0.0023
0.12
0.05
Questions 10-15. During one flu season, 12% of patients diagnosed with flu presented severe symptoms. During the same flu season, a new anti-flu drug was being tested. The drug was given to 526 undergraduate students with the flu and only 25 of them developed severe symptoms. Based only on this information, can you conclude that the drug is a success at 99.99% confidence level? Can you infer that the new anti-flu drug alleviate the occurrence of sever symptoms for general population?
Question 10. Find the sample proportion of people with severe symptoms who take this anti-flu drug.
0.055
0.045
0.03
0.0475
Question 11. Find the correct hypothesis
H0: p= 0.05
H0: p > 0.12
H0: p= 0.12
H0 : p < 0.12