Answer:
Chi-square = 4.600
Degrees of freedom= 6
there is no evidence to reject hypothesis.
Step-by-step explanation:
H₀ : uniformly distributed
H₁: not uniformly distributed
Suppose some value of observed or expected frequency
Observed frequency : 39 40 30 40 41 49 41 Total: 280
Expected frequency : 40 40 40 40 40 40 40 Total: 280
Calculated the chi-square value
Chi-square = sigma {(O-E)^2/E}
= 0.025+0.000+2.500+0.000+0.025+2.025+0.025
4.600
Degrees of freedom=d f = n-1 = 7-1 = 6
Chi-square for 6 d.f at alpha = 0.05 is 12.59
Chi-square of calculated value < its critical value at alpha = 0.05, we see that there is no evidence to reject hypothesis.
The frequency of Sat is wrongly taken as 41 instead of 51
