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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 have evidence to conclude that the data do not fit the distribution reported by 2012 study.This is correct. Since the p-value is between 0.01 and 0.02, then p-value < 0.05 and therefore we can reject H0 and conclude that the data do not fit the distribution reported by the 2012 study....
Read MoreThe chi-square goodness-of-fit test statistic in this case is .
Using the chi-square table (linked hereopens a new window), what can you say about the p-value of the test?
0.01 < p-value < 0.02This is correct. Since there are 5 categories in this case (Legal in all cases, Legal in most cases, Illegal in most cases, Illegal in all cases, Unsure), you need to use row 5-1=4 in the table. As the figure below shows, since the test statistic 12.02 falls between the tw...
Read MoreA 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?
217This 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 sh...
Read MoreA 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.
H0: The data fit the distribution reported by the 2012 studyHa: The data do not fit the distribution reported by the 2012 study...
Read MoreYes, because 14.18/11.71 < 2.ExplanationThe condition of equal population standard deviations is considered to be met if the ratio of the largest sample standard deviation to the smallest sample standard deviation is less than 2....
Read MoreH0: μ1 = μ2 = μ3Ha: μ1, μ2, μ3, are not all equal...
Read MoreFor which of the following would it be most appropriate to use an ANOVA to analyze the data?
In order to determine the effectiveness of different diet plans, 90 people are randomly assigned to one of three groups: (1) low calorie diet, (2) low-fat diet, or (3) low-carb diet. At the end of 60 days, the number of pounds lost was recorded for each of the participants.ExplanationThere is a cate...
Read MoreThe analysis was run on the data and the following output was obtained:
ANOVA table
Source | df | SS | MS | F-Stat | P-value |
|---|---|---|---|---|---|
Region | 2 | 18,441 | 9220.4 | 17.46 | 0.000 |
Error | 72 | 20,594 | 528.0 | ||
Total | 74 | 30,034 |
Based on this information, we :
Reject the H0 and conclude that the data provide strong evidence that there is a relationship between the region of the world and the quantity of beer that people drink....
Read MoreHere are the three sample standard deviations for the beer consumption for the three groups (Asia, Europe and America):
Column | Std. Dev. |
Asia | 6.5 |
Europe | 7.3 |
America | 5.2 |
Based on this information, do the data meet the condition of equal population standard deviations for the use of the ANOVA?
Yes, because 7.35.2<27.35.2<2...
Read MorePlease use the following information for Questions 2, 3, and 4.
To determine whether there was a relationship between the region of the world that you live in and the amount of beer that you drink, suppose we took 3 samples of 25 people per region from Asia, Europe and America.
H0: μ1 = μ2 = μ3Ha: μ1, μ2, μ3, are not all equal...
Read More
Please use the following information for Questions 2, 3, and 4.
To determine whether there is a relationship between the type of school attended and verbal reasoning scores for Irish students, three samples with 25 students, in each group, were randomly selected from data used by Raferty and Hout (1985). One group of students attended secondary school, the second group of students attended vocational school, and the third group consisted of students who attended only primary school.
Raftery, A.E. and Hout, M. (1985). Does Irish education approach the meritocratic ideal? A logistic analysis. Economic and Social Review, 16, 115-140.