An SRS of 100 flights of a large airline (airline 1) showed that 64 were on time

Question

An SRS of 100 flights of a large airline (airline 1) showed that 64 were on time. An SRS of 100 flights of another large airline (airline 2) showed 80 were on time. Let p1 and p2 be the proportions of all flights that are on time for airlines 1 and 2 respectively.

1) The P-value of a statistic to test H0:p1-p2=0, Ha: P1-p2<0 is (Give the answer to 3 decimal places)

2) The 95% confidence interval for the difference p1-p2 is :

ep 2: 95% confidence interval for the difference P1-P2 is 0.64 (1-0.64) 0.80 (1-0.80) 0 (0.64-0.80) ± 1.96 (1-1 0 (164-0.30)? /072 (1-0.72) 0.80) ± 1.96,/0.72(1-072 1-0.64 100 80 (1- 100 (064-080) ± 1.96 A tool manufacturer tests three types of cutters used in lathe operatios final one is made from cryogenically treated steel. Several cutters of? summarized below

Explanation / Answer

here p1=64/100=0.64 and p2=80/100=0.8

therefore 95% confidence interval==p1-p2 -/+ 1.96*sqrt(p1*(1-p1)/n1+p2*(1-p2)/n2)

=0.64-0.80 -/+ 1.96*sqrt(0.64*(1-0.64)/100+0.80*(1-0.80)/100)

last option is correct

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