Powerball is a large lottery in which players try to guess the numbers that will turn up in a drawing of numbered balls. Öne of the balls drawn is the "Powerball." If you select the correct number on the Powerball, your winnings will be increased. The possible numbers for the Powerball are 1 through 35. If the selection is random, then there should be an equal number of draws for the Powerball across the following 5 categories: 1-7, 8-14, 15-21, 22-28, 29-35. Test at 1% significance that Powerball numbers are equally likely. Round to the fourth as needed. Observed Expected Powerball Number Frequency Frequency 1-7 40 8-14 41 15-21 44 22-28 42 29-35 42 Test Statistic: Degrees of Freedom: p-val: Decision Rule: Select an answer Did something significant happen? Select an answer There Select an answer | enough evidence to conclude Select an answer
Powerball is a large lottery in which players try to guess the numbers that will turn up in a drawing of numbered balls. Öne of the balls drawn is the "Powerball." If you select the correct number on the Powerball, your winnings will be increased. The possible numbers for the Powerball are 1 through 35. If the selection is random, then there should be an equal number of draws for the Powerball across the following 5 categories: 1-7, 8-14, 15-21, 22-28, 29-35. Test at 1% significance that Powerball numbers are equally likely. Round to the fourth as needed. Observed Expected Powerball Number Frequency Frequency 1-7 40 8-14 41 15-21 44 22-28 42 29-35 42 Test Statistic: Degrees of Freedom: p-val: Decision Rule: Select an answer Did something significant happen? Select an answer There Select an answer | enough evidence to conclude Select an answer
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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Permutations and Combinations
If there are 5 dishes, they can be relished in any order at a time. In permutation, it should be in a particular order. In combination, the order does not matter. Take 3 letters a, b, and c. The possible ways of pairing any two letters are ab, bc, ac, ba, cb and ca. It is in a particular order. So, this can be called the permutation of a, b, and c. But if the order does not matter then ab is the same as ba. Similarly, bc is the same as cb and ac is the same as ca. Here the list has ab, bc, and ac alone. This can be called the combination of a, b, and c.
Counting Theory
The fundamental counting principle is a rule that is used to count the total number of possible outcomes in a given situation.
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Question
Transcribed Image Text:Powerball is a large lottery in which players try to guess the numbers that will turn up in a drawing of
numbered balls. Öne of the balls drawn is the "Powerball." If you select the correct number on the
Powerball, your winnings will be increased. The possible numbers for the Powerball are 1 through 35. If the
selection is random, then there should be an equal number of draws for the Powerball across the following
5 categories: 1-7, 8-14, 15-21, 22-28, 29-35. Test at 1% significance that Powerball numbers are equally
likely.
Round to the fourth as needed.
Observed
Expected
Powerball Number
Frequency Frequency
1-7
40
8-14
41
15-21
44
22-28
42
29-35
42
Test Statistic:
Degrees of Freedom:
p-val:
Decision Rule: Select an answer
Did something significant happen? Select an answer
There Select an answer
| enough evidence to conclude
Select an answer
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