ST314 Analysis 3 - W15 PDF

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ST314 Analysis 3 - W15...

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Jager

Name__________________________

Data Analysis #3 ST314 Total: 40 points Due: Tuesday February 10th, at 11:59pm PST       

Material from Week 4 and 5 Course Notes and Chapters 7 and 8 are covered on this analysis. Please download, complete and upload as PDF or Word Document. - No other format will be accepted. Please upload all pages as one file. Typing or entering answers by hand is accepted as long as solutions are neatly given and document is uploaded as PDF. Okay if “scanned” with phone however must be PDF. Give the solutions in the space provided, add more pages as needed. After submission, please review your submission to ensure correct document has been uploaded. Working with others is encouraged, however, final work must be your own. Duplicate assignments will be considered a violation of academic dishonesty.

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Jager

Name__________________________

Part I. Short Essay (5 points) In your own words describe the difference between the rejection region and the p-value approach to hypothesis testing. What are some advantages and disadvantages to both?

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Jager

Name__________________________

Part II (20 points) A sample of 77 individuals working at a particular construction site office was selected at random. The noise level (dBA) experienced by each individual was determined. The site manager is curious if there is evidence that the average noise level experienced by all workers is less than 70 dBA. Perform an analysis. Use a significance level of 0.05. Use the provided R code under the Data Sets and Code tab to obtain descriptive statistics, graphical displays and p-values. a. b. c. d. e. f.

(2 points) Include a plot of the data. (1 points) Is there visual evidence that the true mean is less than 70 dBA? Explain. Must include context. (2 points) State the null and alternative hypothesis to answer the manager’s question of interest. (4 points) Calculate the test statistic by hand and obtain a p-value by table. Show work. (3 points) Calculate the 95% Confidence Interval by hand. Show work. (3 points) Obtain a p-value from t test and confidence interval using R. Are your answers different than d and e? g. (5 points) Using the R output (from f) give a four part conclusion (shown in notes) and thoroughly answer the site managers question of interest. Must include context. h. Optional. Append Code to the end of your document.

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Jager

Name__________________________

Part III. (15 points) According to the National Institute on Alcohol Abuse and Alcoholism (NIAAA), and the National Institutes of Health (NIH), 40.1% of college students nationwide engage in “binge drinking” behavior, having 5 or more drinks in one occasion during the past month. A college president wonders if the proportion of students enrolled at her college that binge drink is greater than the national proportion. In a commissioned study, 502 students are selected randomly from a list of all students enrolled at the college. Of these, 231 admitted to having engaged in binge drinking. Use a significance level of 0.05 a. b. c. d. e. f. g.

(1pt) What is the question and parameter of interest? (2pts) State the null and alternative hypotheses. (2pts) Check the conditions for inference. (2pts) Calculate the test statistic. Show work! (1pts) Give the appropriate p-value and state whether it is one-sided or two-sided. (3pts) Calculate the appropriate 90% confidence interval. Show work! (4pts) Finally, using the results from parts e and f, summarize your conclusions to the university. Interpret the CI and results of your test. Use the four part conclusion method. Include context!

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