The USA Today headline of "Seven-game series defy odds" referred to a claim that seven-game World Series contests occur more often than expected by chance. Listed below are the numbers of games of World Series contests along with the proportions that would be expected with teams of equal abilities. Use a 0.05 significance level to test the claim that the observed frequencies agree with the theoretical proportions. Games 4 5 6 7 Actual World Series contests 18 20 23 37 Expected proportion 2/16 4/16 5/16 5/16 a. State Upper H 0 . A. p Subscript 4 Games Baseline equals 4 divided by 16 comma p Subscript 5 Games Baseline equals 5 divided by 16 comma p Subscript 6 Games Baseline equals 5 divided by 16 comma p Subscript 7 Games Baseline equals 2 divided by 16 B. p Subscript 4 Games Baseline equals p Subscript 5 Games Baseline equals p Subscript 6 Games Baseline equals p Subscript 7 Games Baseline equals 1 divided by 4 C. p Subscript 4 Games Baseline equals 2 divided by 16 comma p Subscript 5 Games Baseline equals 4 divided by 16 comma p Subscript 6 Games Baseline equals 5 divided by 16 comma p Subscript 7 Games Baseline equals 5 divided by 16 b. Find the sum of the observed frequencies: nothing (enter a whole number) c. Calculate the expected frequency for each number of games (give 2 decimal places) 4 Games: nothing 5 Games: nothing 6 Games: nothing 7 Games: nothing d. Calculate the test statistic. Which of these options is closest to its value? A. chi squared equals 5.70 B. chi squared equals 7.23 C. chi squared equals 6.52 D. chi squared equals 6.75 e. State the value of the critical value: nothing (give 3 decimal places) f. State the technical conclusion. A. Reject Upper H 0 B. Do not reject Upper H 0 g. State the final conclusion. A. The sample data support the claim. B. There is not sufficient evidence to warrant rejection of the claim. C. There is not sufficient sample evidence to support the claim. D. There is sufficient evidence to warrant rejection of the claim. h. Does it appear that seven-game series occur more often than expected?

The USA Today headline of "Seven-game series defy odds" referred to a claim that seven-game World Series contests occur more often than expected by chance. Listed below are the numbers of games of World Series contests along with the proportions that would be expected with teams of equal abilities. Use a 0.05 significance level to test the claim that the observed frequencies agree with the theoretical proportions. Games 4 5 6 7 Actual World Series contests 18 20 23 37 Expected proportion 2/16 4/16 5/16 5/16 a. State Upper H 0 . A. p Subscript 4 Games Baseline equals 4 divided by 16 comma p Subscript 5 Games Baseline equals 5 divided by 16 comma p Subscript 6 Games Baseline equals 5 divided by 16 comma p Subscript 7 Games Baseline equals 2 divided by 16 B. p Subscript 4 Games Baseline equals p Subscript 5 Games Baseline equals p Subscript 6 Games Baseline equals p Subscript 7 Games Baseline equals 1 divided by 4 C. p Subscript 4 Games Baseline equals 2 divided by 16 comma p Subscript 5 Games Baseline equals 4 divided by 16 comma p Subscript 6 Games Baseline equals 5 divided by 16 comma p Subscript 7 Games Baseline equals 5 divided by 16 b. Find the sum of the observed frequencies: nothing (enter a whole number) c. Calculate the expected frequency for each number of games (give 2 decimal places) 4 Games: nothing 5 Games: nothing 6 Games: nothing 7 Games: nothing d. Calculate the test statistic. Which of these options is closest to its value? A. chi squared equals 5.70 B. chi squared equals 7.23 C. chi squared equals 6.52 D. chi squared equals 6.75 e. State the value of the critical value: nothing (give 3 decimal places) f. State the technical conclusion. A. Reject Upper H 0 B. Do not reject Upper H 0 g. State the final conclusion. A. The sample data support the claim. B. There is not sufficient evidence to warrant rejection of the claim. C. There is not sufficient sample evidence to support the claim. D. There is sufficient evidence to warrant rejection of the claim. h. Does it appear that seven-game series occur more often than expected?

College Algebra (MindTap Course List)

12th Edition

ISBN:9781305652231

Author:R. David Gustafson, Jeff Hughes

Publisher:R. David Gustafson, Jeff Hughes

Chapter8: Sequences, Series, And Probability

Section8.7: Probability

Problem 58E: What is meant by the sample space of an experiment?

See similar textbooks

Related questions

Concept explainers

Question

Games 4 5 6 7

Actual World Series contests 18

Expected proportion 2/16 4/16 5/16 5/16

a. State

Upper H 0

p Subscript 4 Games Baseline equals 4 divided by 16 comma p Subscript 5 Games Baseline equals 5 divided by 16 comma p Subscript 6 Games Baseline equals 5 divided by 16 comma p Subscript 7 Games Baseline equals 2 divided by 16

p Subscript 4 Games Baseline equals p Subscript 5 Games Baseline equals p Subscript 6 Games Baseline equals p Subscript 7 Games Baseline equals 1 divided by 4

p Subscript 4 Games Baseline equals 2 divided by 16 comma p Subscript 5 Games Baseline equals 4 divided by 16 comma p Subscript 6 Games Baseline equals 5 divided by 16 comma p Subscript 7 Games Baseline equals 5 divided by 16

b. Find the sum of the observed frequencies:

nothing

(enter a whole number)

c. Calculate the expected frequency for each number of games (give 2 decimal places)

4 Games:

nothing

5 Games:

nothing

6 Games:

nothing

7 Games: nothing

d. Calculate the test statistic. Which of these options is closest to its value?

chi squared equals

5.70

chi squared equals

7.23

chi squared equals

6.52

chi squared equals

6.75

e. State the value of the critical value:

nothing

(give 3 decimal places)

f. State the technical conclusion.

Reject Upper H 0

Do not reject Upper H 0

g. State the final conclusion.

The sample data support the claim.

There is not sufficient evidence to warrant rejection of the claim.

There is not sufficient sample evidence to support the claim.

There is sufficient evidence to warrant rejection of the claim.

h. Does it appear that seven-game series occur more often than expected?

Expert Solution

Trending now

This is a popular solution!

Step by step

Solved in 4 steps with 1 images

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

$Point Estimation, Limit Theorems, Approximations, and Bounds$

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, statistics and related others by exploring similar questions and additional content below.