Question
A six-sided die is rolled 120 times. Fill in the expected frequency column. Then, conduct a...
A six-sided die is rolled 120 times. Fill in the expected frequency column. Then, conduct a hypothesis test at the 5% level to determine if the die is fair. The data below are the result of the 120 rolls. (Enter exact numbers as integers, fractions, or decimals.)
| Face Value | Frequency | Expected Frequency |
|---|---|---|
| 1 | 14 | ? |
| 2 | 32 | ? |
| 3 | 15 | ? |
| 4 | 15 | ? |
| 5 | 30 | ? |
| 6 | 14 | ? |
Part (a)
State the null hypothesis. Choose 1 or 2
1. The data fit the distribution for a fair six-sided die.
2. The data do not fit the distribution for a fair six-sided die.
Part (b)
State the alternative hypothesis. Choose 1 or 2
1. The data fit the distribution for a fair six-sided die.
2. The data do not fit the distribution for a fair six-sided die.
Part (c)
What are the degrees of freedom? (Enter an exact number as an integer, fraction, or decimal.)
Part (d)
What is the test statistic? (Round your answer to two decimal places.)
_______
What is the p-value? (Round your answer to four decimal
places.)
________
Part (e)
Alpha (Enter an exact number as an integer, fraction, or decimal.)
Homework Answers
Answer #1
null hypothesis
1. The data fit the distribution for a fair six-sided die.
alternative hypothesis
The data do not fit the distribution for a fair six-sided die.
degrees of freedom = n-1 = 6-1 = 5
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