State the appropriate null and alternate hypotheses for determining whether to conclude that the failure rates differ among the four lines.

Electric motors are assembled on four different production lines. Random samples of motors are taken from each line and inspected. The numbers that pass and that fail the inspection are counted for each line, with the following results:

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Line 1 2 3 4 Pass 482 467 458 404 Fail 57 59 37 47