The manager of a streaming service provider wants to know if the number of streaming services someone pays for is independent of age group. The manager took a random sample and did some analysis, copied below fir you. Assume the conditions are satisfied and do NOT need to be checked.

OBSERVED CELL FREQUENCIES Number of streaming services you own. None 1 to 3 4 or more Total Age-group 18 - 30 65 34 10 109 (years) 31 - 45 34 45 34 113 Over 45 23 6 45 74 Total 122 85 89 296 EXPECTED CELL FREQUENCIES Number of streaming services None 1 to 3 4 or more Total Age-group 18 - 30 44.93 31.30 32.77 76 (years) 31 - 45 46.57 32.45 33.98 79 Over 45 30.50 21.25 22.25 52 Total 122.00 85 89 207 BABY CHI'S Number of streaming services None 1 to 3 4 or more Age-group 18 - 30 8.97 0.23 15.82 (years) 31 - 45 3.39 4.85 0.00 Over 45 1.84 10.94 23.26 STANDARDIZED RESIDUALS Number of streaming services None 1 to 3 4 or more Age-group 18 - 30 2.99 0.48 -3.98 (years) 31 - 45 -1.84 2.20 0.00 Over 45 -1.36 -3.31 4.82