Module The Chi-Square Goodness-of-Fit Test
The Chi-Square Goodness of Fit Test
Step 1 of 1
The following information is related to questions 1-4
A 2012 study reported that the opinions of U.S. adults regarding the the issue of abortion has the following distribution:
Legal Illegal
Legal Illegal
in all in in
in all Unsure
cases most most cases
cases cases
.23 .31 .23 .16 .07
700 randomly chosen U.S. adults were recently asked about their opinions regarding abortion and the data showed that:
154 responded that abortion should be legal in call cases
252 responded that abortion should be legal in most cases
160 responded that abortion should be illegal in most cases
98 responded that abortion should illegal in all cases
36 were unsure.
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.
Question 1 of 7 Points: 10 out of 10
Which of the following are the correct null and alternative hypotheses in this case?
, H0: The data do not fit the distribution reported by the 2012 study
Ha: The data fit the distribution reported by the 2012 study
H0: The data fit the distribution reported by the 2012 study
Ha: The data do not fit the distribution reported by the 2012 study
This is correct. Good job!
Question 2 of 7 Points: 10 out of 10
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?
161
252
217
31
160
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.
Question 3 of 7 Points: 10 out of 10
The chi-square goodness-of-fit test statistic in this case is X2=12.02
The Chi-Square Goodness of Fit Test
Step 1 of 1
The following information is related to questions 1-4
A 2012 study reported that the opinions of U.S. adults regarding the the issue of abortion has the following distribution:
Legal Illegal
Legal Illegal
in all in in
in all Unsure
cases most most cases
cases cases
.23 .31 .23 .16 .07
700 randomly chosen U.S. adults were recently asked about their opinions regarding abortion and the data showed that:
154 responded that abortion should be legal in call cases
252 responded that abortion should be legal in most cases
160 responded that abortion should be illegal in most cases
98 responded that abortion should illegal in all cases
36 were unsure.
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.
Question 1 of 7 Points: 10 out of 10
Which of the following are the correct null and alternative hypotheses in this case?
, H0: The data do not fit the distribution reported by the 2012 study
Ha: The data fit the distribution reported by the 2012 study
H0: The data fit the distribution reported by the 2012 study
Ha: The data do not fit the distribution reported by the 2012 study
This is correct. Good job!
Question 2 of 7 Points: 10 out of 10
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?
161
252
217
31
160
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.
Question 3 of 7 Points: 10 out of 10
The chi-square goodness-of-fit test statistic in this case is X2=12.02
