MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN: 9781119256830
Author: Amos Gilat
Publisher: John Wiley & Sons Inc
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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
2
3
Part (f)
4
Part (a)
Part (b)
Part (c)
Part (d)
Part (e)
5
6
What is the test statistic? (Round your answer to two decimal places.)
Part (g)
14
30
15
15
31
15
What is the p-value? (Round your answer to four decimal places.)
Explain what the p-value means for this problem.
O If Ho is false, then there is a chance equal to the p-value that the value of the test statistic will be equal to or greater than the calculated value.
If Ho is true, then there is a chance equal to the p-value that the value of the test statistic will be equal to or less than the calculated value.
O If Ho is false, then there is a chance equal to the p-value that the value of the test statistic will be equal to or less than the calculated value.
○ If Ho is true, then there is a chance equal to the p-value that the value of the test statistic will be equal to or greater than the calculated value.
Sketch a picture of this situation. Label and scale the horizontal axis, and shade the region(s) corresponding to the p-value.
μ
p-value
1/2(p-value)
h/2(n-value).
μ
1/2(p-value)
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Transcribed Image Text: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 2 3 Part (f) 4 Part (a) Part (b) Part (c) Part (d) Part (e) 5 6 What is the test statistic? (Round your answer to two decimal places.) Part (g) 14 30 15 15 31 15 What is the p-value? (Round your answer to four decimal places.) Explain what the p-value means for this problem. O If Ho is false, then there is a chance equal to the p-value that the value of the test statistic will be equal to or greater than the calculated value. If Ho is true, then there is a chance equal to the p-value that the value of the test statistic will be equal to or less than the calculated value. O If Ho is false, then there is a chance equal to the p-value that the value of the test statistic will be equal to or less than the calculated value. ○ If Ho is true, then there is a chance equal to the p-value that the value of the test statistic will be equal to or greater than the calculated value. Sketch a picture of this situation. Label and scale the horizontal axis, and shade the region(s) corresponding to the p-value. μ p-value 1/2(p-value) h/2(n-value). μ 1/2(p-value)
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