ANSWER ALL 3 QUESTIONS During the course of the 2004 Democratic Presidential Pri
ID: 3175804 • Letter: A
Question
ANSWER ALL 3 QUESTIONS
During the course of the 2004 Democratic Presidential Primary, a state poll indicates that the level of support for the candidates follows these percentages:
John Kerrey 35% Dick Gephardt 10%
John Edwards 25% Joe Limberman 5%
Howard Dean 20% Al Sharpton 5%
A local television station wants to test whether these percentages are accurate, and takes a poll of randomly selected Democratic voters, and arrives at these results:
John Kerrey 710 Dick Gephardt 212
John Edwards 468 Joe Limberman 104
Howard Dean 428 Al Sharpton 78
Which of the following is the X2 test statistic for the appropriate goodness-of-fit?
Question 19 options:
0.468
9.871
10.208
11.199
Suppose Graph I gives the scatterplot relating data set X with data set Y, and Graph II gives the scatterplot relating data set G with data set H. The correlation coefficient relating data set X and data set Y is 0.958, and the correlation coefficient relating data set G and data set H is - 0.944. Which of the following statements will most likely describe the difference between Graph I and Graph II?
Question 15 options:
The patterns of the points in both graphs will actually be similar.
The points in Graph I will lie in an approximate straight line with positive slope, whereas the points in Graph II will lie in an approximate straight line with negative slope.
The points in Graph I will lie in an approximate straight line, whereas the points in Graph II will lie in an approximate circle
The pattern of the points in both graphs will be very scattered, whereby the patterns cannot be compared.
Consider the following table in reference to the testing of a null hypothesis:
Which of the following is incorrect?
Question 1 options:
Entries (1) and (4) are correct decisions.
The P(making entry (2)) is controlled by the sample size for a given alpha level.
A Type I error occurs if entry (3) occurs.
Power refers to P(entry (4))
A Type II error occurs when entry (1) is made.
0.468
9.871
10.208
11.199
Suppose Graph I gives the scatterplot relating data set X with data set Y, and Graph II gives the scatterplot relating data set G with data set H. The correlation coefficient relating data set X and data set Y is 0.958, and the correlation coefficient relating data set G and data set H is - 0.944. Which of the following statements will most likely describe the difference between Graph I and Graph II?
Question 15 options:
The patterns of the points in both graphs will actually be similar.
The points in Graph I will lie in an approximate straight line with positive slope, whereas the points in Graph II will lie in an approximate straight line with negative slope.
The points in Graph I will lie in an approximate straight line, whereas the points in Graph II will lie in an approximate circle
The pattern of the points in both graphs will be very scattered, whereby the patterns cannot be compared.
Consider the following table in reference to the testing of a null hypothesis:
H0 True H0 False Accept H0 (1) (2) Reject H0 (3) (4)
Which of the following is incorrect?
Question 1 options:
Entries (1) and (4) are correct decisions.
The P(making entry (2)) is controlled by the sample size for a given alpha level.
A Type I error occurs if entry (3) occurs.
Power refers to P(entry (4))
A Type II error occurs when entry (1) is made.
Explanation / Answer
Chi-square statistic = sum over i = 1 to 6 (number of candidates) of {(Oi - Ei)2/Ei}, where
Oi = observed frequency i.e., number of votes polled by ith candidate in the Television station poll and Ei = expected frequency, obtained by multiplying the total votes polled by the percentage of votes polled by the ith candidate in the State poll.
These figures are given below:
Candidate
Oi
Ei
{(Oi - Ei)2/Ei}
JK
710
2000 x 0.35 = 700
0.143
JE
468
2000 x 0.25 = 500
2.048
HD
428
2000 x 0.20 = 400
1.960
DG
212
2000 x 0.10 = 200
0.720
JL
104
2000 x 0.05 = 100
0.160
AS
78
2000 x 0.05 = 100
4.840
Total
2000
2000
9.871
So, the 2 statistic = 9.871 ANSWER
Candidate
Oi
Ei
{(Oi - Ei)2/Ei}
JK
710
2000 x 0.35 = 700
0.143
JE
468
2000 x 0.25 = 500
2.048
HD
428
2000 x 0.20 = 400
1.960
DG
212
2000 x 0.10 = 200
0.720
JL
104
2000 x 0.05 = 100
0.160
AS
78
2000 x 0.05 = 100
4.840
Total
2000
2000
9.871
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