A survey found that Massachusetts residents spent an average of $861.52 on the lottery, more than three times the U.S. average. A researcher at a Boston think tank believes that Massachusetts residents spend less than this amount. He surveys 100 Massachusetts residents and asks them about their annual expenditures on the lottery. (You may find it useful to reference the t table.)

a.Specify the competing hypotheses to test the researcher's claim.

multiple choice 1

• H₀:= 861.52;H_A: 861.52
• H₀: 861.52;H_A:< 861.52
• H₀: 861.52;H_A:> 861.52

b-1.Calculate the value of the test statistic.(Negative value should be indicated by a minus sign. Round final answer to 3 decimal places.) b-2.Find thep-value. multiple choice 2

• p-value < 0.01
• 0.01p-value < 0.025
• 0.025p-value < 0.05
• 0.05p-value < 0.10
• p-value0.10

c.At = 0.10, what is the conclusion? multiple choice 3

• RejectH₀; there is insufficient evidence to state that the average Massachusetts resident spent less than $861.52 on the lottery.
• RejectH₀; there is sufficient evidence to state that the average Massachusetts resident spent less than $861.52 on the lottery.
• Do not rejectH₀; there is sufficient evidence to state that the average Massachusetts resident spent less than $861.52 on the lottery.
• Do not rejectH₀; there is insufficient evidence to state that the average Massachusetts resident spent less than $861.52 on the lottery.

Lottery

785

589

910

1114

1100

1196

414

796

1050

642

698

516

481

657

695

416

745

783

883

769

796

784

1113

816

787

729

1259

1019

1321

700

1181

530

958

1013

1238

828

740

991

764

986

544

690

546

756

860

877

803

1287

504

696

349

1147

609

722

1009

953

1023

974

582

644

988

936

646

804

890

965

882

690

1212

956

855

1028

1047

713

669

1082

613

517

970

970

1279

1134

1109

885

853

944

846

654

501

1013

932

980

904

640

1102

786

690

690

770

690