Question

Matched pairs hypothesis

Ex:  The average number of siblings someone has is greater than the average number of pets they have

# of pets 0 1 4 3 3 1 3 1 1 1 2 1 1 1 1 1

# of siblings 0 3 3 5 2 2 1 3 1 0 2 1 6 0 4 3

1. Claim:

2. Hypothesis:

3. Statistics( sd,d,n):

4. Test stat, P value

5. Conclusion, Interpretation:

Answer 1

let x:- # of pets Y:- # of siblings set azoos! - let od=8- Xi izl.--, 16 it. n=16 Claim :- Average number of siblings Someone has is greater than average number of pets. Hypothesis Ho: D=8-x =0 Vs H,:D=7- x 70 2. Edi Ell, DC Judi = 0.6875 0.69 Zd;²=39 5d Edi-nJ2 = (59)-16 (0.6875)2 = 1850 $ Sa = Sol = 0.46 tas 0.69 315 n-1 test statistic 0.69 ta - 1.S O C p-value - 0.079 Decision :- peralue Y 2=0.05 we Fail to reject Ho. but at a=0.10 , P-value <a Reject Ho. :) #of siblings greater than nurober of pets at 10% level of significant 2) but at si los #sblings not greater #pets