explain how the Chi-Square Test of Goodness of Fit works. Why is this important?

*CHO5-AirlinePassengerstxt-Excel (1) Q ~ Search Sheet Home Insert Page Layout Formulas Data Review View '+ Share Cut Times New R... * 11 . A- A = Wrap Text Number _ AutoSum AP. Copy Fill Paste + Merge & Center $ % 2 00 0 Conditional Format Cell Insert Delete Format Sort & Format Formatting as Table Styles Clear Filter G42 X fx =+F42*CH05-AirlinePassengerstxt'ISD$15 G H I K L M N 0 P Q R S U W X Passengers Passengers BIN BIN Frequency 35.00 35.00 Mean 45.68 37.50 37.50 47 Standard Error 40.00 40.00 Histogram 1.04358357 Mediar 45 42.50 42.50 Mode 45 45.00 45.00 43 Standard Deviation 5.217917848 47.50 47.50 42 Sample Variance 27.22666667 50.00 50.00 56 Kurtosis ).707219447 52.50 52.50 Skewnes 0.82316313 55.00 55.00 Frequency Range 22 57.50 57.50 12 Minimum 36 60.00 60.00 Maximum 58 More Sum 1142 Count 25 35 00 37.50 40.00 42.50 4500 47.50 50.00 52.50 5500 57.50 60.00 More BIN Frequency Expected Frequency Chi-Square Goodness of Fit Test (Normality) Observed Data Normal Assumptions |Chi-Square Calc Bin Freg Cum Probability BIN Probability Expected Frequent (Obs - Exp) 2/Expected 35.00 1.0203 0.0203 0.5085 0.5085 37.50 0.0585 0.0381 0.9535 0.0023 40.00 0.1382 0.0797 1.9924 0.0000 25 42.50 0.2711 0.1329 3.3236 0.1377 45.00 0.4482 0.1770 4.4260 1.4970 47.50 0.6364 0.1882 4.7056 0.3561 15 50.00 0.7961 0.1598 3.9940 2.2444 52.50 0.9044 0.1083 2.7065 2.7065 55.00 0.9630 0.0586 1.4641 0.1962 05 57.50 0.9883 0.0253 0.6322 0.2139 60.00 1.9970 0.0087 0.2179 2.8067 9 10 11 A Chi Sq statistic 0.669 Chi Sq Critical Va 15.5073 if A is less than B. the distribution is assumed to be normal. CHO5-AirlinePassengerstxt + Ready Average: 2.2658 Count: 12 Sum: 24.92428 - + 87%