Define and develop a Poker test for four-digit random numbers. A sequence of 1,000 random numbers, each of four digits has been generated. The analysis of the numbers reveals that in 525 numbers all four digits are different, 419 contain exactly one pair of like digits, 47 contain two pairs, 9 have
Define and develop a Poker test for four-digit random numbers. A sequence of 1,000 random numbers, each of four digits has been generated. The analysis of the numbers reveals that in 525 numbers all four digits are different, 419 contain exactly one pair of like digits, 47 contain two pairs, 9 have three digits of a kind and 7 contain all like digits. Use Poker test to determine whether these numbers are independent. (Critical value of chi-square for a = 0.05 and N = 4 is 9.49).[10]
Category Observed $Oi$ ------ All four digits different 525 Exactly one pair 419 Two pairs 47 Three of a kind 9 All four alike 7 Total 1000 - $N = 1000$ numbers, each 4 digits - Critical value: $\chi^2{0.05,,4} = 9.49$ (degrees of freedom = 4) --- The Poker Test checks the independence of a sequ...