Below are two conventional wisdoms, statements generally believed to be accurate descriptions of the world. Accompanying each statement are data (from the 2012 General Social Survey) that allow you to test each conventional wisdom. For each statement:
a. State the null hypothesis.
b. Calculate the difference between the proportion of means.
c. Calculate the standard error of the difference in proportions or means.
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d. Using the eyeball test: (i) State whether you would accept the null hypothesis or reject the null hypothesis. (ii) Explain your reasoning.
Conventional Wisdom One: Hispanics have larger families than non-Hispanics. The 2012 General Social Survey asked respondents how many children they have. Hispanic respondents how many children they have. Hispanic respondents had an average 2.1 children (standard error = 0.11), whereas non-Hispanics averaged 1.8 children (standard error = 0.04).
Conventional Wisdom Two: Southerners are more likely than nonsoutherners to own a gun. According to the 2012 General Social Survey, 0.42 of the southern respondents owned a gun (n=500), compared with 0.30 of nonsoutherners (n=804).
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