Question

PLEASE HELP!!!

Question 1 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 308 times. The results are displayed in the table below. Use an -0.01 significance level. a. Complete the rest of the table by filling in the expected frequencies: Frequencies of Suits Dealt Outcome Frequency Expected Frequency Spades 84 Hearts 81 Diamonds 66 Clubs 77 b. What is the correct statistical test to use? Select an answer c. What are the null and alternative hypotheses? H: The suits and cards are independent. The suits and cards are dependent. The distribution of sults is not uniform. O The distribution of suits is uniform. BE a * к

Answer 1

(a)

Here n=4 0 E =(20)/n = 308/4 (0-E) (0-E)?/E 84 77 7 0.6364 81 77 4 0.2078 66 77 -11 1.5714 77 77 0 0 Total 308 308 2.416

(b) Chi square test for goodness of fit

(c)

H0:  

The distribution of sults is uniform.

H1 :  

The distribution of suits is not uniform.

(d)

Degrees of freedom = 4-1 = 3

(e)

The test statistic is (E-0)܂ 0=ܐܐ 2.416 E

(f)

P-value = 0.4907 [using Excel function CHIDIST(2.416,3)]

(g)

The P-value is greater than alpha.

(h)

fail to reject H0

(i)

There is insufficient evidence to conclude that the distribution of suits is not uniform.