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 204 times. The results are displayed in the table below. Use an a=0.10 significance level. a. Complete the rest of the table by filling in the expected frequencies: Frequencies of Suits Dealt Outcome Frequency Expected Frequency Spades 57 Hearts 63 Diamonds 37 Clubs 47 b. What is the correct statistical test to use? Select an answer c. What are the null and alternative hypotheses? Ho: O The suits and cards are independent. O The distribution of suits is not uniform. O The suits and cards are dependent. O The distribution of suits is uniform.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
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Chapter0: Preparing For Algebra
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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 204 times. The results are displayed in the table
below. Use an α = 0.10 significance level.
a. Complete the rest of the table by filling in the expected frequencies:
Frequencies of Suits Dealt
Outcome Frequency Expected Frequency
Spades 57
Hearts 63
Diamonds 37
Clubs 47
b. What is the correct statistical test to use?
Select an answer ✓
c. What are the null and alternative hypotheses?
Ho :
The suits and cards are independent.
O The distribution of suits is not uniform.
O The suits and cards are dependent.
O The distribution of suits is uniform.
Transcribed Image Text: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 204 times. The results are displayed in the table below. Use an α = 0.10 significance level. a. Complete the rest of the table by filling in the expected frequencies: Frequencies of Suits Dealt Outcome Frequency Expected Frequency Spades 57 Hearts 63 Diamonds 37 Clubs 47 b. What is the correct statistical test to use? Select an answer ✓ c. What are the null and alternative hypotheses? Ho : The suits and cards are independent. O The distribution of suits is not uniform. O The suits and cards are dependent. O The distribution of suits is uniform.
H₁:
The suits and cards are independent.
The distribution of suits is uniform.
The suits and cards are dependent.
O The distribution of suits is not uniform.
d. The degrees of freedom =
e. The test-statistic for this data
f. The p-value for this sample
=
=
g. The p-value is Select an answer
h. Based on this, we should Select an answer
i. Thus, the final conclusion is...
α
(Please show your answer to three decimal places.)
(Please show your answer to four decimal places.)
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 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.
Transcribed Image Text:H₁: The suits and cards are independent. The distribution of suits is uniform. The suits and cards are dependent. O The distribution of suits is not uniform. d. The degrees of freedom = e. The test-statistic for this data f. The p-value for this sample = = g. The p-value is Select an answer h. Based on this, we should Select an answer i. Thus, the final conclusion is... α (Please show your answer to three decimal places.) (Please show your answer to four decimal places.) 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 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.
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