Question

For this problem, solve the problems by answering a) state the claim using a sentence, b) Ho H1 and place the claim with either one of the two, c) Test statistic, show and label the formula you use, d) find critical value(s), and reject Ho or fail to reject Ho. You may use p-value. e) Write a formal conclusion and final statement (Please show all work and label answer a,b,c,d,e)

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=0.01.

a.)

b.)

c.)

d)

e)

Answer 1

a)

claim is the majority of adults prefer window seats when they fly

b)

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

c)

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

d)

P-value Approach
P-value = 0

e)

As P-value < 0.01, reject the null hypothesis.