In a recent? poll, 824 adults were asked to identify their favorite seat when th

Question

In a recent? poll,

824

adults were asked to identify their favorite seat when they? fly, and

498

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.

Explanation / Answer

p(hat)= 498/824=0.60437

n= 824

H0: P= 0.5

H1: P> 0.5 ……….. Right tail test

alpha= 0.05

Test Statictics

Z= (p(hat)-P)/sqrt(P*Q/n)

=(0.60437-0.5)/sqrt(0.5*0.5/824)

=5.99190

P-value=1-P(Z<5.99190)= 1.03699E-09

rounded p-value=0.0000

Decision making

P-value < Alpha ...Reject H0

0.0000<0.05

there is enough evidence to support the claim that majority of adults prefer window seats.

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