can some one please check my work i am unsure of sum of TS, df, and critical val

Question

can some one please check my work

i am unsure of sum of TS, df, and critical valu on the second chart.

Question 2: Calculating the expected frequency of fleas per dog Expected Frequency 6.33 8.44 5.62 2.50 0.83 0.22 0.05 Observed Frequency 0.264 0.351 0.234 0.104 0.035 0.009 0.002 0 0 0 0 10 0 0 Totals: 32 1.333333 24 23.99 1.00 mean Question 2: Testing whether the observed distribution of fleas per dog matches the expected one Observed Frequency Test Expected Frequency statistic 0 6.33 0.440585 8.44 0.022938 5.62 0.466975 0.1 0.83 0.22 14.40182 0.05 Sum of TS.= 16.31232 2.5 0 0.83 6 0 0.05 df: 31 Critical value: Reject HO? (Y/N)

Explanation / Answer

The sum of TS is correct.

Degrees of freedom = n - 1 = 7 - 1 = 6 [Since n = Number of values X can take]

Critical value = chiinv(0.05, 6) [Excel Formula; Assuming level of significance as 0.05]

So,

Critical Value = 12.59159

Reject Ho; Y

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