You want to see if a card dealer is favoring one suit over another. You observe the dealer pick a card, put it back in the deck, shuffle, and then repeat the process 376 times. The results are displayed in the table below. Use an αα = 0.05 significance level. Complete the rest of the table by filling in the expected frequencies: Frequencies of Suits Dealt Outcome Frequency Expected Frequency Spades 112 Hearts 77 Diamonds 103 Clubs 84 What is the correct statistical test to use? Select an answer Paired t-test Independence Goodness-of-Fit Homogeneity What are the null and alternative hypotheses? H0:H0: The distribution of suits is uniform. The suits and cards are independent. The distribution of suits is not uniform. The suits and cards are dependent. H1:H1: The suits and cards are dependent. The suits and cards are independent. The distribution of suits is not uniform. The distribution of suits is uniform. The degrees of freedom = The test-statistic for this data = (Please show your answer to three decimal places.) The p-value for this sample = (Please show your answer to four decimal places.) The p-value is Select an answer less than (or equal to) greater than αα Based on this, we should Select an answer accept the null reject the null fail to reject the null Thus, the final conclusion is... There is insufficient evidence to conclude that suits and cards are dependent. There is insufficient evidence to conclude that the distribution of suits is not uniform. There is sufficient evidence to conclude that suits and cards are dependent. There is sufficient evidence to conclude that the distribution of suits is not uniform. There is sufficient evidence to conclude that the distribution of suits is uniform.

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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You want to see if a card dealer is favoring one suit over another. You observe the dealer pick a card, put it back in the deck, shuffle, and then repeat the process 376 times. The results are displayed in the table below. Use an αα = 0.05 significance level.

Complete the rest of the table by filling in the expected frequencies:
Frequencies of Suits Dealt

Outcome Frequency Expected Frequency

Spades 112

Hearts 77

Diamonds 103

Clubs 84
What is the correct statistical test to use?
Select an answer Paired t-test Independence Goodness-of-Fit Homogeneity
What are the null and alternative hypotheses?
H0:H0:
- The distribution of suits is uniform.
- The suits and cards are independent.
- The distribution of suits is not uniform.
- The suits and cards are dependent.
H1:H1:
- The suits and cards are dependent.
- The suits and cards are independent.
- The distribution of suits is not uniform.
- The distribution of suits is uniform.
The degrees of freedom =
The test-statistic for this data = (Please show your answer to three decimal places.)
The p-value for this sample = (Please show your answer to four decimal places.)
The p-value is Select an answer less than (or equal to) greater than αα
Based on this, we should Select an answer accept the null reject the null fail to reject the null
Thus, the final conclusion is...
- There is insufficient evidence to conclude that suits and cards are dependent.
- There is insufficient evidence to conclude that the distribution of suits is not uniform.
- There is sufficient evidence to conclude that suits and cards are dependent.
- There is sufficient evidence to conclude that the distribution of suits is not uniform.
- There is sufficient evidence to conclude that the distribution of suits is uniform.

Outcome	Frequency	Expected Frequency
Spades	112
Hearts	77
Diamonds	103
Clubs	84

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