Entrance to, and exit from, a large departmental store is via one four sets of doors. The number of customers entering or leaving the store is counted at each set of doors for a period of time with the following results

Set of doors

North

South

East

West

Number of customers

340

460

350

450

At = 0.1, test the claim that customers have a preference for a particular set of doors.

a) State the hypotheses and identify the claim with the correct hypothesis.

1.

H₀: There is no preference

H₁:There is a preference (claim)

2.

H₀: There is a preference (claim)

H₁: There is no preference

3.

H₀: There is no preference (claim)

H₁: There is a preference

b) Find the critical value (s).

1. CV=4.605

2. CV=6.251

3. CV=7.779

c) Compute the test value:

1. TV= 30.5

2. TV=40.5

3. TV= 50.5

d) Make the decision.

1. Reject the null hypothesis.

2.Do not reject the null hypothesis.

e) Summarize the results.

1. There is not enough evidence to support the claim.

2.There is enough evidence to support the claim.