Answer:
Step-by-step explanation:
If majority of adults prefer a window seat when they fly, it means that more than half or more than 0.5 of the population prefer a window seat when they fly.
We would set up the hypothesis test.
For the null hypothesis,
p = 0.45
For the alternative hypothesis,
p > 0.5
Considering the population proportion, probability of success, p = 0.5
q = probability of failure = 1 - p
q = 1 - 0.5 = 0.5
Considering the sample,
Sample proportion, P = x/n
Where
x = number of success = 492
n = number of samples = 806
P = 492/806 = 0.61
We would determine the test statistic which is the z score
z = (P - p)/√pq/n
z = (0.61 - 0.5)/√(0.5 × 0.5)/806 = 6.24
From the normal distribution table, the p value < 0.00001
Since alpha, 0.01 < than the p value, then we would reject the null hypothesis. Therefore, at a 1% significance level, we can conclude that the majority of adults prefer a window seat when they fly.
