A gambler complained about the dice. They seemed to be loaded! The dice were taken off the täble and tested Bhe at Outcome Observed frequency O 2. 3. 4. 5 65 47 60 32 50 46 n USE SALT Do these data indicate that the die is unbalanced? Use a 1% level of significance. Hint: If the die is balanced, all outcomes should have the same expected frequency. (a) What is the level of significance? 0.01 State the null and alternate hypotheses. O Ho: The distributions are different. H,: The distributions are different. O Ha: The distributions are different. H,: The distributions are the same. O Ho: The distributions are the same. H,: The distributions are different. O Ho: The distributions are the same. H,: The distributions are the same. (b) Find the value of the chi-square statistic for the sample. (Round the expected frequencies to at least three decimal places. Round the test statistic to three decimal places.) -27.994 Are all the expected frequencies greater than 5? O Yes O No What sampling distribution will you use? O chi-square O normal O Student'st O uniform What are the degrees of freedom?