12. (10 points) A company that sells baseball cards claims that 40% of the cards are rookies, 50% are veterans, and 10% are all-stars. Suppose a random sample of 100 cards has 55 rookies, 40 veterans, and 5 All-Stars. Card Type Observed Expected O -E (0-E) (0 - E)2 Frequency O Frequency E E Rookie Veteran All-Star Test the company's claim using a 0.01 level of significance. You may use the empty columns of the table above to assist you. a) State the null and alternative hypotheses. b) Find the value of the test statistic and the critical value. You may use the empty columns of the table above to assist you. Round to the third decimal place. c) State whether you should reject or fail to reject the null hypothesis. Justify your answer. d) State your conclusion in non-technical terms