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 288 times. The results are displayed on the table below. Use an α = 0.10 significance level. Complete the rest of the table by filling in the expected frequencies: Outcome Frecuency Expected Frecuency Spades 48 Hearts 72 Diamonds 87 Clubs 81 What is the correct statistical test to use? Select an answer:( 1 ANSWER) Independence:, Goodness-of-Fit; Homogeneity; Paired t-test. What are the null and alternative hypotheses? H0: The suits and cards are dependent. The distribution of suits is uniform. The distribution of suits is not uniform. The suits and cards are independent. H1: The distribution of suits is uniform. The suits and cards are dependent. The suits and cards are independent. The distribution of suits is not uniform.
Contingency Table
A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.
Binomial Distribution
Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.
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 288 times. The results are displayed on the table below. Use an α = 0.10 significance level.
- Complete the rest of the table by filling in the expected frequencies:
Outcome | Frecuency |
Expected Frecuency |
Spades | 48 |
|
Hearts | 72 | |
Diamonds | 87 | |
Clubs | 81 |
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- What is the correct statistical test to use?
Select an answer:( 1 ANSWER) Independence:, Goodness-of-Fit; Homogeneity; Paired t-test. - What are the null and alternative hypotheses?
H0:- The suits and cards are dependent.
- The distribution of suits is uniform.
- The distribution of suits is not uniform.
- The suits and cards are independent.
- H1:
- The distribution of suits is uniform.
- The suits and cards are dependent.
- The suits and cards are independent.
- The distribution of suits is not 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 _______ α
- Based on this, we should Select an answer_______
- Thus, the final conclusion is...
- There is insufficient evidence to conclude that the distribution of suits is not uniform.
- 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 sufficient evidence to conclude that the distribution of suits is not uniform.
- What is the correct statistical test to use?
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