In a recent poll 797 adults were asked to identify their favorite seat when they

Question

In a recent poll 797 adults were asked to identify their favorite seat when they fly, and 505 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

null hypothessis : p=0.5

alternate hypothesis:p>0.5

std error =(p(1-p)/n)1/2 where n=797

=0.0177

here phat =505/797=0.6336

hene test stat z=(phat-p)/std error =7.5448

for above test stat p value =0.0000

as p value is less then 0.05, we reject null hypothesis, and conclude that  that the majority of adults prefer window seats when they fly.

Related Questions

Navigate

• Browse (All)
• Browse I
• Subjects

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.