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In Exercise, conduct the hypothesis test

Chapter 11, Problem 17 BSC

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QUESTION:

Problem  17BSC

In Exercise, conduct the hypothesis test and provide the test statistic, critical value, and/or P-value, and state the conclusion.

World Series Games The table below lists the numbers of games played in the baseball World Series as of this writing. That table also includes the expected proportions for the numbers of games in a World Series, assuming that in each series, both teams have about the same chance of winning. Use a 0.05 significance level to test the claim that the actual numbers of games fit the distribution indicated by the expected proportions.

Games Played

4

5

6

7

Actual World Series Contests

20

23

23

37

Expected Proportion

2/16

4/16

5/16

5/16

Questions & Answers

QUESTION:

Problem  17BSC

In Exercise, conduct the hypothesis test and provide the test statistic, critical value, and/or P-value, and state the conclusion.

World Series Games The table below lists the numbers of games played in the baseball World Series as of this writing. That table also includes the expected proportions for the numbers of games in a World Series, assuming that in each series, both teams have about the same chance of winning. Use a 0.05 significance level to test the claim that the actual numbers of games fit the distribution indicated by the expected proportions.

Games Played

4

5

6

7

Actual World Series Contests

20

23

23

37

Expected Proportion

2/16

4/16

5/16

5/16

ANSWER:

Solution  17BSC

Using the given data set, we have to test the claim that actual number of games fit the distribution indicated by the expected proportions.

We will define hypothesis as below

= actual number of games fit the distribution indicated by the expected proportions.

= actual numbers of games do not fit the distribution indicated by the expected proportions.

Under the null hypothesis the test statistic is given by,

Perform the chi-square test using Excel (Megastat) as follows:

Step 1: Enter the Actual World Series Contests and Expected proportions in Excel worksheet and find the expected values.

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