1.
Sixty-four students in an introductory college economics class were asked how many credits they had earned in college, and how certain they were about their choice of major. At α = 0.05, is the degree of certainty independent of credits earned?
Credits Earned
Very Uncertain
Somewhat Certain
VeryCertain
Row Total
0 – 9
13
6
5
24
10 – 59
9
4
6
19
60 or more
4
9
11
24
Col Total
26
19
22
67
Click here for the Excel Data File
(a)
At α = .05, the hypothesis for the given issue is H0: Credits Earned and Certainty of Major are independent.
[removed]
No
[removed]
Yes
(b)
Calculate the Chi-Square test statistic, degrees of freedom and the p-value. (Round your test statistic value to 2 decimal places and the p-value to 4 decimal places.)
Test statistic
[removed]
d.f.
[removed]
p-value
[removed]
(c)
Find the critical value of the Chi-Square for α = .05. (Round your answer to 2 decimal places.)
Critical value
[removed]
(d)
We cannot reject the null hypothesis and find dependence.
[removed]
Yes
[removed]
No
2.
In a four-digit lottery, each of the four digits is supposed to have the same probability of occurrence. The table shows the frequency of occurrence of each digit for 79 consecutive daily four-digit drawings.
Digit
Frequency
0
42
1
29
2
20
3
43
4
20
5
30
6
29
7
29
8
41
9
33
Total
316
Click here for the Excel Data File
(a)
The hypothesis for the given issue is H0: The digits come from a uniform population.
[removed]
No
[removed]
Yes
(b)
Calculate the Chi-Square test statistic, degrees of freedom and the p-value. (Round your test statistic value to 2 decimal places and the p-value to 4 decimal places.)
Test statistic
[removed]
d.f.
[removed]
p-value
[removed]
(c)
Find the critical value of the Chi-Square for α = .10. (Round your answer to 2 decimal places.)
Critical value
[removed]
(d)
At α = .10, can you reject the hypothesis that the digits are from a uniform population?
[removed]
No
[removed]
Yes
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