Question

An airline claims that the no-show rate for passengers is less than 5%. In a sample of 420 randomly selected reservations, 19 were no-shows. At ? = 0.01 , test the airline's claim. (1.) State the sample percentage. 19 22.1 420 .045 (2.) State the hypotheses. H0: p ? 0.5 H1: p < 0.5 H0: p ? .045 H1: p < .045 H0: p < 0.5 H1: p ? 0.5 H0: p < .045 H1: p ? .045 (3.) State the critical value(s). 2.575 -2.33 -2.575 2.33 (4.) State the Test Statistics. -0.49 0.49 0.47 -0.47 (5.) State the decision. Reject H1 Reject H0 Do not reject H0 Do not reject H1 (6.) State the conclusion. There is sufficient evidence to support the claim that the no-show rate for passengers is less than 5%. There is not sufficient evidence to support the claim that the no-show rate for passengers is less than 5%. There is sufficient evidence to warrant rejection of the claim that the no-show rate for passengers is less than 5%. There is not sufficient evidence to warrant rejection of the claim that the no-show rate for passengers is less than 5%.

          An airline claims that the no-show rate for passengers is less than 5%. In a sample of 420 randomly selected reservations, 19 were no-shows. At ? = 0.01 , test the airline's claim.
(1.)
State the sample percentage.
19
22.1
420
.045
(2.)
State the hypotheses.
H0: p ? 0.5
H1: p < 0.5
H0: p ? .045
H1: p < .045
H0: p < 0.5
H1: p ? 0.5
H0: p < .045
H1: p ? .045
(3.)
State the critical value(s).
2.575
-2.33
-2.575
2.33
(4.)
State the Test Statistics.
-0.49
0.49
0.47
-0.47
(5.)
State the decision.
Reject H1
Reject H0
Do not reject H0
Do not reject H1
(6.)
State the conclusion.
There is sufficient evidence to support the claim that the no-show rate for passengers is less than 5%.
There is not sufficient evidence to support the claim that the no-show rate for passengers is less than 5%.
There is sufficient evidence to warrant rejection of the claim that the no-show rate for passengers is less than 5%.
There is not sufficient evidence to warrant rejection of the claim that the no-show rate for passengers is less than 5%.

An airline claims that the no-show rate for passengers is less than 5%. In a sample of 420 randomly selected reservations, 19 were no-shows. At ? = 0.01 , test the airline's claim.
(1.)
State the sample percentage.
19
22.1
420
.045
(2.)
State the hypotheses.
H0: p ? 0.5
H1: p < 0.5
H0: p ? .045
H1: p < .045
H0: p < 0.5
H1: p ? 0.5
H0: p < .045
H1: p ? .045
(3.)
State the critical value(s).
2.575
-2.33
-2.575
2.33
(4.)
State the Test Statistics.
-0.49
0.49
0.47
-0.47
(5.)
State the decision.
Reject H1
Reject H0
Do not reject H0
Do not reject H1
(6.)
State the conclusion.
There is sufficient evidence to support the claim that the no-show rate for passengers is less than 5%.
There is not sufficient evidence to support the claim that the no-show rate for passengers is less than 5%.
There is sufficient evidence to warrant rejection of the claim that the no-show rate for passengers is less than 5%.
There is not sufficient evidence to warrant rejection of the claim that the no-show rate for passengers is less than 5%.

Added by Jennifer R.

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