Question

In a #M privacy Filters Poll, 806 adults were asked to identify their favorite seat when they fly, and 492 of them chose a window seat. Test the claim that the majority of adults prefer window seats when they fly. Use

a)

b)

c)

d)

e)

Answer 1

Below are the null and alternative Hypothesis,
Null Hypothesis, H0: p = 0.5
Alternative Hypothesis, Ha: p > 0.5

Rejection Region
This is right tailed test, for α = 0.05
Critical value of z is 1.64.
Hence reject H0 if z > 1.64

Test statistic,
z = (pcap - p)/sqrt(p*(1-p)/n)
z = (0.6104 - 0.5)/sqrt(0.5*(1-0.5)/806)
z = 6.27

P-value Approach
P-value = 0
As P-value < 0.05, reject the null hypothesis.

There is sufficient evidence to conclude that the majority of adults prefer window seats when they fly.