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 340 times. The results are displayed in the table below.Use an= 0.10significance level.

a. Complete the rest of the table by filling in the expected frequencies:

Frequencies of Suits Dealt

Outcome Frequency Expected Frequency

Spades 65

Hearts 97

Diamonds 88

Clubs 90

b. What is the correct statistical test to use?

(Select an answer)

-Independence

-Paired t-test

-Goodness-of-Fit

-Homogeneity

c.What are the null and alternative hypotheses?

H0:

• 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.

H1:

• The distribution of suits is uniform.
• The distribution of suits is not uniform.
• The suits and cards are independent.
• The suits and cards are dependent.

d. The degrees of freedom =

e. The test-statistic for this data =(Please show your answer to three decimal places.)

f. The p-value for this sample =(Please show your answer to four decimal places.)

g. The p-value is________ (Select an answer)

-greater than

-less than (or equal to)

h. Based on this, we should(Select an answer)

-reject the null

-fail to reject the null

-accept the null

i. Thus, the final conclusion is...

• 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.
• There is insufficient evidence to conclude that suits and cards are dependent.
• 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.