Your statistics instructor would like to use a 6-side die (with each of its six faces showing a different number from 1 to 6) to choose the next quiz question. You suspect that the die is not fair, and one or more numbers show up more frequently than others, so you are conducting a multinomial Goodness-of-Fit hypothesis test for the claim that the 6-side die is not fair at the significant level of a = 0.05. For this study, we should use (Select an answer Your friend Manuel helped you with the null and alternative hypotheses... Ho: P1 =P2 - P2 P3 -P4 P5 =P6 6 Hi: At least one of the proportion is different from the others. You drew 138 samples, and the observed frequencies are recorded below. Please complete the table using exact answer (e.g., whole numbers, fractions or decimals). Number Observed Expected Rolled Frequency Frequency 29 N 30 3 21 4 14 26 18 The degree of freedom = The test-statistic for this data = (Please show your answer to three decimal places.) The p-value for this sample = (Please show your answer to four decimal places or enter 0 if the p-value is less than 0.0001)