The general social survey contains a question that captures beliefs and attitude
ID: 3231228 • Letter: T
Question
The general social survey contains a question that captures beliefs and attitudes towards extramarital sex. The variable has the following distribution:
SEX WITH PERSON |
OTHER THAN |
SPOUSE | Freq. Percent Cum.
-----------------+-----------------------------------
ALWAYS WRONG | 1,329 78.31 78.31
ALMST ALWAYS WRG | 224 13.20 91.51
SOMETIMES WRONG | 114 6.72 98.23
NOT WRONG AT ALL | 30 1.77 100.00
-----------------+-----------------------------------
Total | 1,697 100.00
We created the binary variable, always_wrong, which equals 1 when the respondent replied, “always wrong”, and 0 otherwise.
Are there population differences between men and women in the likelihood of believing that having extramarital affairs is “always wrong?” The HW2_Q1_Q5 data file on the course website contains the two variables required to address this question: gender (the EV, named SEX in the data file) and a variable named “always_wrong” (the RV). Again, this variable is defined in the following way: a person was assigned a value of 1 if he/she responded “always wrong” to the GSS question asking whether having sex with person other than one’s spouse is wrong, and a person was assigned a value of 0 if he/she gave the “almost always wrong”, “sometimes wrong” or “not wrong at all” responses to the same question.
a) State the null and alternative hypotheses in words and symbols.
Explanation / Answer
a)
The hypothesis can be formulated as
H0 : There is No population differences between men and women in the likelihood of believing that having extramarital affairs is “always wrong, p1 = p2 , where p1 is the proportion for men and p2 is the proportion for women
H1 : There is a significant population differences between men and women in the likelihood of believing that having extramarital affairs is “always wrong, p1 != p2 , where p1 is the proportion for men and p2 is the proportion for women
There is no data in the question to do any calculations !!