please solve all questions

You shuffle a deck of cards. The null hypothesis is that the shuffle is not biased. The alternative hypothesis is that the shuffle is biased. You then deal 22 of the 52 cards. The outcome (the number of cards of each of the 4 suits) is: 2 spades, 4 hearts, 12 diamonds, and 4 clubs. You want to determine if the shuffle was fair. (1) What is the null hypothesis? a. The observed frequency is not different than the expected frequency, meaning that the shuffle is biased. b. The observed frequency is not different than the expected frequency, meaning that the shuffle is fair. c. The observed frequency is different than the expected frequency, meaning that the shuffle is fair. d. The observed frequency is different than the expected frequency, meaning that the shuffle is biased. (2) What statistical test would you use? a. z-score b. chi-square goodness of fit c. chi-square test of independence d. one-sample z-test e. one-sample t-test (3) What is expected frequency of spades? (4) What is the calculated test statistic? (5) How many degrees of freedom are there? (6) Assuming alpha is equal to .05, what is the critical value? (3) What is expected frequency of spades? (4) What is the calculated test statistic? (5) How many degrees of freedom are there? (6) Assuming alpha is equal to .05, what is the critical value? (7) What is your decision? a. Fail to reject the null and conclude the shuffle is fair. b. Fail to reject the null and conclude the shuffle is biased. c. Reject the null and conclude the shuffle is fair. d. Reject the null and conclude the shuffle is biased