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MAT 151 / Statistics 1 Statistical Inference: Computer Lab Activity for Unit 4 - Hypothesis Testing Directions: Open a Word/Google document to answer the following

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MAT 151 / Statistics 1 Statistical Inference: Computer Lab Activity for Unit 4 - Hypothesis Testing Directions: Open a Word/Google document to answer the following questions in the context of the problem using complete sentences. Be sure to include a heading with your name, date and assignment title. Open StatCrunch from our course at the MyStatLab website. Select the StatCrunch tab in the left column. Click on Visit the StatCrunch website link and Open StatCrunch. Hypothesis tests in StatCrunch: For proportions: From the tool bar select Stat > Proportions Stats > One Sample > With Summary. Enter the number of successes, x, and the number of observations, n. Check the button for Hypothesis Test for p and input the population proportion being tested. Select the appropriate alternative hypothesis symbol. Compute. Use the Options box to copy the output into your answer. For means: Stat > TStats > One Sample > With Summary. Enter the mean, standard deviation, and sample size. Check the button for Hypothesis Test for u and input the population mean being tested. Select the appropriate alternative hypothesis symbol. Compute. Use the Options box to copy the output into your answer. Introduction: GSS The General Social Survey (GSS) is an opinion survey that has been conducted for more than 30 years by the National Opinion Research Center at the University of Chicago, About 2000 adult Americans are given a 90-minute in-person interview asking about opinions and behaviors for a wide variety of issues. To access the GSS website, go to sda.berkeley.edu/GSS using No Weight as the default weight selection. 1. Adult Americans were asked: Would you be willing to pay much higher prices to protect the environment? The results can be found in the GSS. Type GRNPRICE in Row: and YEAR(2010) in Selection Filters: then Run the table. Use StatCrunch to test the hypothesis that less than half of Americans are willing to pay higher prices to support the environment. Write out the hypotheses in symbols and words. Include a check of the necessary conditions in your answer. Copy and paste the output from StatCrunch. Write out your conclusion in context using the p-value and a significance level of alpha = 5% for your decision. 2. The Fair Labor Standards Act was passed in 1938. Since then, the standard work week in the United States has been 40 hours. In recent years, the standard work week has fallen to less than 40 hours in most of Western Europe and in Australia. Many believe that the work-oriented culture in the U.S. has resulted in pressure among workers to put in longer hours than the 40-hour standard. In industries such as investment banking, a 40-hour work week is considered "slacker" behavior and may result in losing a job. [From Statistics: The Art and Science of Learning from Data, Agresti & Franklin, 3"d edition, p.422.] Is the average number of hours worked per week in the U.S. 40 hours, or has this changed? For those working in 2014, the GSS asked adult Americans: "How many hours did you work last week?" The summary statistics can be found in the GSS: sda.berkeley.edu/GSS using No Weight as default Type HRS1 in Row: and YEAR(2014) in Selection Filter: Under Output Options, uncheck Column under Percentaging and check Summary Statistics. Under Chart Options, select Bar Chart under Type of Chart, then Run the table. You will need these summary statistics for your work in StatCrunch. Use StatCrunch to test the hypothesis that the average hours worked weekly has changed from 40 hours. Write out the hypotheses in symbols and words. Include a check of the necessary conditions in your answer. Copy and paste the output from StatCrunch. Write out your conclusion in context using the p-value and a significance level of alpha = 5% for your decision

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