Airlines study no shows in purchased tickets from last year to this year using r

Question

Airlines study no shows in purchased tickets from last year to this year using random sample of 120 flights the following shows observed number of no shows and experienced the no show proportions last year

No shows. Observed. Proportion 0. 10. 0.05 1. 18. 0.15 2. 26. 0.20 3. 32. 0.30 4. 20. 0.20 5. 14. 0.10
They want to know if the proportion of no shows has changed from last year to this year using alpha = 0.05. What is the critical value for this hypothesis?

Airlines study no shows in purchased tickets from last year to this year using random sample of 120 flights the following shows observed number of no shows and experienced the no show proportions last year

No shows. Observed. Proportion 0. 10. 0.05 1. 18. 0.15 2. 26. 0.20 3. 32. 0.30 4. 20. 0.20 5. 14. 0.10
They want to know if the proportion of no shows has changed from last year to this year using alpha = 0.05. What is the critical value for this hypothesis?



No shows. Observed. Proportion 0. 10. 0.05 1. 18. 0.15 2. 26. 0.20 3. 32. 0.30 4. 20. 0.20 5. 14. 0.10
They want to know if the proportion of no shows has changed from last year to this year using alpha = 0.05. What is the critical value for this hypothesis?

Explanation / Answer

Ans:

We use Chi square test for goodness of fit for the above data.

Number of categories=6

So,df=6-1=5

Significance level=0.05

critical chi square score=CHIINV(0.05,5)=11.070

Calculated chi square score=4.278

As,calculated chi square score<11.070,we fail to reject null hypothesis(i.e. distribution has not changed from last year)

O E (O-E)^2/E 0 10 6 2.667 1 18 18 0.000 2 26 24 0.167 3 32 36 0.444 4 20 24 0.667 5 14 12 0.333 Total 120 120 4.278

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