For this week’s Application Assignment, you complete two problems that involve calculating confidence intervals with one sample. The first problem involves calculating and interpreting the 90%, 95%, and 99% confidence intervals for a one-sample t-test. The second problem involves calculating and interpreting the 95% confidence interval for a proportion. While you can use SPSS to determine proportions,you need to calculate the confidence interval by hand.
NOTE:Please also include your explanation in words to interpret the data results for each question.
To complete this Application Assignment, answer the following problems:
Problem 4.1: Given the data set body-weight.sav, use SPSS to calculate the 90%, 95% and 99% confidence intervals for the mean of the variable weight. Interpret the three confidence intervals in terms of whether there is a significant difference between the mean of the sample and a hypothesized mean of 150.
Problem 4.2: Every year the CDC conducts phone surveys to assess the health risks of people in the U.S. This survey is abbreviated BRFSS, which stands for Behavioral Risk Factor Surveillance System. Review the following data collected for 2009:
Total number of respondents
Number of respondents who smoke everyday
Number of respondents who smoke some days
Number of respondents who are former smokers
Number of respondents who have never smoked
426,000
54,815
21,581
110,060
143,619
Calculate the proportion of each group of respondents.
Calculate the confidence interval for the proportion of respondents who stated they are former smokers.
Copy and paste (or use the File/Export option in SPSS) any required data charts or summaries into a Word document, or export the data output as a Word/RTF document. Save your Application Assignment as a “.doc” or “.rtf” file.