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 256 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: Outcome Frequency Expected Frequency Spades 49 Hearts 75 Diamonds 69 Clubs 63 What is the correct statistical test to use? What are the null and alternative hypotheses? H0: The distribution of suits is uniform. The suits and cards are dependent. The distribution of suits is not uniform. The suits and cards are independent. H1: The suits and cards are independent. The suits and cards are dependent. 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 Greater Than or less than αα (Choose one) 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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Question

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 256 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:

Outcome Frequency Expected Frequency

Spades 49

Hearts 75

Diamonds 69

Clubs 63
What is the correct statistical test to use?
What are the null and alternative hypotheses?
H0:
- The distribution of suits is uniform.
- The suits and cards are dependent.
- The distribution of suits is not uniform.
- The suits and cards are independent.
H1:
- The suits and cards are independent.
- The suits and cards are dependent.
- 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 Greater Than or less than αα (Choose one)
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.