For each of the following scenarios, which of the following hypothesis tests is
ID: 3262940 • Letter: F
Question
For each of the following scenarios, which of the following hypothesis tests is most appropriate: one sample proportion, one sample mean, two independent proportions, two independent means, or two paired (dependent) means? Explain why.
D. Students at Penn State and Michigan State are arguing over which university’s students are faster. They take a random sample of 25 students from each university and time how long it takes them to run 400 meters.
E. We know that in the population of all Penn State World Campus students 18.6% have military experience. An instructor at Penn State Harrisburg wants to know if the proportion of students at Penn State Harrisburg is different from 18.6%. She takes a random sample of 100 Penn State Harrisburg students and records whether or not each student has military experience.
F. A pharmaceutical company wants to compare the LDL cholesterol levels of patients who have taken two different drugs (Drug A and Drug B). They randomly assign 30 patients to receive Drug A and 30 patients to receive Drug B. After taking 90 days they measure each patient’s LDL cholesterol level.
Explanation / Answer
D. Students at Penn State and Michigan State are arguing over which university’s students are faster. They take a random sample of 25 students from each university and time how long it takes them to run 400 meters.
Solution:
Most appropriate hypothesis test is two Independent means
Why: The sample is random 25 students from each university. Then in order to find out which university is faster overall then the data from the 400 meter run will be compared after each university is averaged out .The Independent Samples t Test compares the means of two independent groups in order to determine whether there is statistical evidence that the associated population means are significantly different.
E. We know that in the population of all Penn State World Campus students 18.6% have military experience. An instructor at Penn State Harrisburg wants to know if the proportion of students at Penn State Harrisburg is different from 18.6%. She takes a random sample of 100 Penn State Harrisburg students and records whether or not each student has military experience.
Solution:
Most appropriate hypothesis test is one sample proportion
Why: This is based of 1 random sample of 100 students from the Harrisburgcampus. The 18.6% is the stated proportion which the professor will base his own findings to see if it is different than the 18.6% given.The One-Sample Proportion Test is used to assess whether a population proportion (P1) is significantly different from a hypothesized value (P0). This is called the hypothesis of inequality.
F. A pharmaceutical company wants to compare the LDL cholesterol levels of patients who have taken two different drugs (Drug A and Drug B). They randomly assign 30 patients to receive Drug A and 30 patients to receive Drug B. After taking 90 days they measure each patient’s LDL cholesterol level.
Solution:
Most appropriate hypothesis test is two Independent means
Why: The two groups’ data will be compared. We will be comparing the proportions in each group to find out which group had better results with which drug.
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