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 284 times. The results are displayed in the table below. Use an αα = 0.10 significance level. Complete the rest of the table by filling in the expected frequencies: Frequencies of Suits Dealt Outcome Frequency Expected Frequency Spades 52 Hearts 87 Diamonds 75 Clubs 70 What is the correct statistical test to use? What are the null and alternative hypotheses? H0:H0: The suits and cards are independent. The distribution of suits is uniform. The suits and cards are dependent. The distribution of suits is not uniform. H1:H1: The distribution of suits is not uniform. The distribution of suits is uniform. The suits and cards are dependent. The suits and cards are independent. 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 αα Based on this, we should Thus, the final conclusion is... There is insufficient evidence to conclude that suits and cards are dependent. There is sufficient evidence to conclude that the distribution of suits is uniform. There is sufficient 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 the distribution of suits is not 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 284 times. The results are displayed in the table below. Use an αα = 0.10 significance level.

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

Outcome Frequency Expected Frequency

Spades 52

Hearts 87

Diamonds 75

Clubs 70
What is the correct statistical test to use?
What are the null and alternative hypotheses?
H0:H0:
- The suits and cards are independent.
- The distribution of suits is uniform.
- The suits and cards are dependent.
- The distribution of suits is not uniform.
H1:H1:
- The distribution of suits is not uniform.
- The distribution of suits is uniform.
- The suits and cards are dependent.
- The suits and cards are independent.
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 αα
Based on this, we should
Thus, the final conclusion is...
- There is insufficient evidence to conclude that suits and cards are dependent.
- There is sufficient evidence to conclude that the distribution of suits is uniform.
- There is sufficient 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 the distribution of suits is not uniform.

Outcome	Frequency	Expected Frequency
Spades	52
Hearts	87
Diamonds	75
Clubs	70

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