From Exercise 5.2.22, recall the survey of a random sample of U.S. adults by Th e Pew Research Center for the People and the Press conducted in early January 2010 that recorded each participant’s highest level of education completed and whether they knew that responding to the Census was required by law. Of the 973 participants who had some college or less, 271 knew that responding to the Census was required by law. Of the 526 participants who had a college degree or more, 195 knew that responding to the Census was required by law. Is there an association between a person’s level of education and her/his Census awareness?
a. Define (in words) the parameters of interest of this study. Also, assign symbols to the parameters.
b. State the appropriate null and alternative hypotheses in words.
c. State the appropriate null and alternative hypotheses in symbols.
d. Explain why it is valid to use the theory-based approach to test the hypotheses stated above.
e. Use an appropriate applet to find a theory-based p-value to test the above hypotheses. Report the standardized statistic as well as the p-value.
f. Use an appropriate applet to find a theory-based 95% confidence interval and interpret the resulting interval in the context of the study.
g. Based on your findings, state a complete conclusion about the study. Be sure to address significance, estimation (confidence interval), causation, and generalization.

Data from exercise 5.2.22

A survey of a random sample of U.S. adults by The Pew Research Center for the People and the Press conducted in early January 2010 recorded each participant’s highest level of education completed and whether they knew that responding to the Census was required by law. Of the 973 participants who had some college or less, 271 knew that responding to the Census was required by law. Of the 526 participants who had a college degree or more, 195 knew that responding to the Census was required by law. Is there an association between a person’s level of education and her/his Census awareness?