A six-sided die is rolled 120 times (results listed in table below). Face Value Frequency 1 15 2 29 3 16 4 15 5 30 6 15 Determine if the die is fair (if it is fair, what is the expected frequency of each face value through 120 rolls?). Test at the 1% level. (i) Which of the following statements correctly defines the null hypothesis HO? A. Distribution of observed die rolls DOES NOT FIT expected distribution of die rolls (≠) B. Distribution of observed die rolls FITS expected distribution of die rolls (=) C. neither of these statements is correct for HO Enter letter corresponding to correct answer (ii) Which of the following statements correctly defines the alternative hypothesis HA? A. Distribution of observed die rolls DOES NOT FIT expected distribution of die rolls (≠) B. Distribution of observed die rolls FITS expected distribution of die rolls (=) C. neither of these statements is correct for HA Enter letter corresponding to correct answer (iii) Enter the level of significance α used for this test:
q10
A six-sided die is rolled 120 times (results listed in table below).
|
Face Value |
Frequency |
|
1 |
15 |
|
2 |
29 |
|
3 |
16 |
|
4 |
15 |
|
5 |
30 |
|
6 |
15 |
Determine if the die is fair (if it is fair, what is the expected frequency of each face value through 120 rolls?). Test at the 1% level.
(i) Which of the following statements correctly defines the null hypothesis HO?
A. Distribution of observed die rolls DOES NOT FIT expected distribution of die rolls (≠)
B. Distribution of observed die rolls FITS expected distribution of die rolls (=)
C. neither of these statements is correct for HO
Enter letter corresponding to correct answer
(ii) Which of the following statements correctly defines the alternative hypothesis HA?
A. Distribution of observed die rolls DOES NOT FIT expected distribution of die rolls (≠)
B. Distribution of observed die rolls FITS expected distribution of die rolls (=)
C. neither of these statements is correct for HA
Enter letter corresponding to correct answer
(iii) Enter the level of significance α used for this test:
Enter in decimal form. Examples of correctly entered answers: 0.01 0.02 0.05 0.10
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