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In a recent​ poll, 812 adults were asked to identify their favorite seat when they​ fly, and 493 of them chose a window seat. Use a 0.05 significance level to test the claim that the majority of adults prefer window seats when they fly. Identify the null​ hypothesis, alternative​ hypothesis, test​ statistic, P-value, conclusion about the null​ hypothesis, and final conclusion that addresses the original claim. Use the​ P-value method and the normal distribution as an approximation to the binomial distribution.

a. Which of the following is the hypothesis test to be​ conducted?
b. What is the test​ statistic?
c. What is the p -value?
d. What is the conclusion about the null​ hypothesis?
e. What is the final​ conclusion?