In a recent poll, 794 adults were asked to identify their favorite seat when the

Question

In a recent poll, 794 adults were asked to identify their favorite seat when they fly, and 520 of them chose a window seat. (Use a 0.05 significance level to lest the claim that the majorly 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 address the original claim. Use the P-value method and the normal distribution as an approximation to the binomial distribution. Which of the following is the hypothesis test to be conducted? A. H_0: p > 0.5 H_1: p = 0.5 B. H_0: p = 0.5 H_1: p

Explanation / Answer

(a) Option E

(b) Data:

n = 794   

p = 0.5   

p' = 0.6549118   

Hypotheses:   

Ho: p 0.5   

Ha: p > 0.5   

Decision Rule:   

= 0.05   

Critical z- score = 1.644853627

Reject Ho if z > 1.644853627

Test Statistic:   

SE = {(p (1 - p)/n} = (0.5 * (1 - 0.5)/794) = 0.017744336

z = (p' - p)/SE = (0.654911838790932 - 0.5)/0.0177443360246919 = 8.73

(c) p- value = 0.000

(d) Decision (in terms of the hypotheses):

Since 8.7302133 > 1.644853627 we reject Ho

Option B

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