1. Suppose a manufacturer of Ibuprofen, a common headache remedy, recently devel
ID: 3316536 • Letter: 1
Question
1.
Suppose a manufacturer of Ibuprofen, a common headache remedy, recently developed a new formulation of the drug that is claimed to be more effective. To evaluate the new drug, a sample of 250 current users is asked to try it. After a one-month trial, 229 indicated the new drug was more effective in relieving a headache. At the same time, a sample of 310 current Ibuprofen users is given the current drug but told it is the new formulation. From this group, 262 said it was an improvement.
State the decision rule for .10 significance level: H0: n c; H1: n > c. (Round your answer to 2 decimal places.)
Compute the value of the test statistic. (Do not round the intermediate value. Round your answer to 2 decimal places.)
(Click to select)RejectDo not reject H0. We (Click to select)cancannot conclude that the new drug is more effective.
2.
Lester Hollar is vice president for human resources for a large manufacturing company. In recent years, he has noticed an increase in absenteeism that he thinks is related to the general health of the employees. Four years ago, in an attempt to improve the situation, he began a fitness program in which employees exercise during their lunch hour. To evaluate the program, he selected a random sample of eight participants and found the number of days each was absent in the six months before the exercise program began and in the last six months. Below are the results.
At the 0.10 significance level, can he conclude that the number of absences has declined? Hint: For the calculations, assume the "Before" data as the first sample.
Suppose a manufacturer of Ibuprofen, a common headache remedy, recently developed a new formulation of the drug that is claimed to be more effective. To evaluate the new drug, a sample of 250 current users is asked to try it. After a one-month trial, 229 indicated the new drug was more effective in relieving a headache. At the same time, a sample of 310 current Ibuprofen users is given the current drug but told it is the new formulation. From this group, 262 said it was an improvement.
Explanation / Answer
As per the Chegg policy, we are advised to do only one question at a time so i am attempting the 1st one.
The statistical software output for this problem is:
Two sample proportion summary hypothesis test:
p1 : proportion of successes for population 1
p2 : proportion of successes for population 2
p1 - p2 : Difference in proportions
H0 : p1 - p2 = 0
HA : p1 - p2 > 0
Hypothesis test results:
Hence,
1) Reject Ho if z > 1.28
2) Test statistic = 2.54
3) Reject; Can conclude
Difference Count1 Total1 Count2 Total2 Sample Diff. Std. Err. Z-Stat P-value p1 - p2 229 250 262 310 0.07083871 0.027939616 2.5354218 0.0056Related Questions
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