Hypothesis Test for a Population Worksheet
Order ID 53563633773 Type Essay Writer Level Masters Style APA Sources/References 4 Perfect Number of Pages to Order 5-10 Pages Description/Paper Instructions
Hypothesis Test for a Population Worksheet
A group of 75 college students from a liberal arts college were randomly sampled and asked about the number of alcoholic drinks they have in a typical week. The file containing the data is linked below. The purpose of this study (Links to an external site.) was to compare the drinking habits of the students at the college to the drinking habits of college students in general. In particular, the dean of students, who initiated this study, would like to check whether the mean number of alcoholic drinks that students at his college have in a typical week differs from the mean of U.S. college students in general, which is estimated to be 4.73.
Variables
The number of alcoholic beverages a student consumes in a week.
Data: Hypothesis test results:
Variable Sample Mean Std. Err. DF T-Stat P-value number of drinks per week 3.9333333 0.43592434 74 -1.8275343 0.0717 Prompt
The drinks datafile is available in the Data section below.
Let μ be the mean number of alcoholic beverages that students in the liberal arts college drink in a typical week. State the hypotheses.
Here is a histogram of the data. Can we safely use the t-test with this data? Explain.
Perform the t-test using StatCrunch. (directions)
Copy and paste the information from the StatCrunch output window into your initial post.Based on the P-value, state your conclusions in context. Use a 5% level of significance.
NOTE: You do not need to double the P-value for this two-tailed test. StatCrunch calculates the P-value for you.Using the context of this scenario, explain the meaning of each of following items from the StatCrunch output for the hypothesis test.
Std. Err (standard error)
T-stat (T-score)
P-value
EXAMPLE TO ANSWER
- The hypotheses are:
Ho: μ = 4.73
Ha: μ ≠ 4.73
- Although the histogram is skewed to the right, we can still do a t-test because n=75 which is more than 30.
3.
One sample T hypothesis test:
μ : Mean of variable
H0 : μ = 4.73
HA : μ ≠ 4.73Hypothesis test results:
Variable Sample Mean Std. Err. DF T-Stat P-value number of drinks per week 3.9333333 0.43592434 74 -1.8275343 0.0717
- 2(0.0717)= 1.434
1.434>0.05
We do not have enough evidence to reject the null hypothesis that the average amount of alcoholic beverages that students at this college drink is the same as the national average.
- a) Std. Err. is the standard error, which is an estimate of how far from the actual mean a sample mean is likely to be.
- b) T-stat is T-score, which is used in a t-test to find evidence/lack of evidence of a significant difference between population means.
- c) The P-value measures the likelihood of getting results as extreme as the sample in a population where the null hypothesis is true.
RUBRIC
QUALITY OF RESPONSE NO RESPONSE POOR / UNSATISFACTORY SATISFACTORY GOOD EXCELLENT Content (worth a maximum of 50% of the total points) Zero points: Student failed to submit the final paper. 20 points out of 50: The essay illustrates poor understanding of the relevant material by failing to address or incorrectly addressing the relevant content; failing to identify or inaccurately explaining/defining key concepts/ideas; ignoring or incorrectly explaining key points/claims and the reasoning behind them; and/or incorrectly or inappropriately using terminology; and elements of the response are lacking. 30 points out of 50: The essay illustrates a rudimentary understanding of the relevant material by mentioning but not full explaining the relevant content; identifying some of the key concepts/ideas though failing to fully or accurately explain many of them; using terminology, though sometimes inaccurately or inappropriately; and/or incorporating some key claims/points but failing to explain the reasoning behind them or doing so inaccurately. 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