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A 2012 study reported that the opinions of U.S. adults regarding the the issue of abortion has the following distribution:
Legal in all cases | Legal in most cases | Illegal in most cases | Illegal in all cases | Unsure |
|---|---|---|---|---|
.23 | .31 | .23 | .16 | .07 |
700 randomly chosen U.S. adults were recently asked about their opinions regarding abortion and the data showed that:
We will use the chi-square goodness-of-fit test to assess whether or not the observed data fit the distribution reported by the 2012 study.
If the distribution reported by the 2012 study is still true, how many of the 700 U.S. adults would you expect to respond that abortion should be legal in most case? In other words, what is the expected frequency of U.S. adults who respond that abortion should be legal in most case?
ANSWER:
217
This is correct. Indeed, the 2012 study claims that 31% of U.S. adults believe that abortion should be legal in most cases. Therefore, if the distribution reported by the 2012 study is still true, we would expect that 31% of the 700 individuals (which is .31*700 = 217) to respond that abortion should be legal in most cases.