Question

suppose you are going to test the claim that the majority of adults

prefer a window seat when they fly with a significance level of 0.05.

The results of a poll indicated that 400 of 806 adults preferred a

window seat when they were flying.

What is your conclusion about the original claim?

Selected Answer:

There is not sufficient evidence to warrant rejection of the claim that the majority of adults prefer a window seat when they fly.

Response Feedback:

Did you use Table 8-3?

please help

Answer 1

H0: p = 0.50

Ha: p > 0.50 (Claim)

Sample proportion = 400 / 806 = 0.4963

Test statistics

z = - p / sqrt( p( 1 -p) /n )

= 0.4963 - 0.50 / sqrt( 0.50 * 0.50 / 806)

= -0.21

This is test statistics value.

Critical value at 0.05 level is 1.645.

Since test statistics value < 1.645, we do not have sufficient evidence to reject H0.

That is we fail to reject null hyputhesis.

We conclude that,

There is not sufficient evidence to warrant the rejection of the claim that the majority of adults

prefer window seat when they fly.