In the next preview assignment and in the next class, you will need to know the steps for hypothesis testing to be able to apply them to a one-sample hypothesis test for means (one-sample t-test).
Hypothesis Testing about Weekly Work Hours
Go to the DCMP Inference for a Population Mean tool at https://dcmathpathways.shinyapps.io/Inference_mean/ and select the textbook dataset “Weekly Work Hours (Males, 2012).”
Question 1
1) Using the dataset “Weekly Work Hours (Males, 2012)” as context, what would be the null and alternative hypotheses used to answer the following question:
“Is there a difference in the average weekly work hours for males in 2012 from the sample data and the claim of males working an average of 44 hours per week?”
Question 2
2) The next step in hypothesis testing, after stating the null and alternative hypotheses, is to collect sample data. What does the variable Weekly Work Hours (Males, 2012) in the data represent?
a) The sample data
b) The population data
c) The data for a single working male
Question 3
3) After collecting data from a sample of working males, we need to check the test conditions to make sure our data are appropriate for the test. Are the assumptions/conditions for a one-sample hypothesis test for means met? Explain.
Question 4
4) After checking test assumptions, the next step is to calculate the value of the test statistic. What data do we use to calculate the test statistic?
Question 5
5) After calculating the value of a test statistic, the next step is to calculate a P-value. What do you do when you have a small P-value that is less than the selected significance level?
Question 6
6) What do you do when you have a P-value that is larger than the selected significance level?
Question 7
7) The last step in a hypothesis test is to interpret the results. What do we want to make sure that we do in this last step?