Table 6.10 gives flight arrival numbers from a random sample of flights for two airlines. Test whether there is a difference between the two airlines in the percent of flights that arrive late.

Table 6.10

(a) Find the relevant sample proportions in each group and the pooled proportion.
(b) Complete the hypothesis test using the normal distribution and show all details.

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Total On-time 416 Late 151 Early 133 Airline A 700 Airline B 58 355 87 500 Total 1200 191 771 238