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 H 0 861 52 H A 861 52 H 0 861 52 H A 861 52 H 0 861 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 the p value multiple choice 2 p value 0 01 0 01 p value 0 025 0 025 p value 0 05 0 05 p value 0 10 p value0 10 c At 0 10, what is the conclusion multiple choice 3 Reject H 0 there is insufficient evidence to state that the average Massachusetts resident spent less than $861 52 on the lottery Reject H 0 there is sufficient evidence to state that the average Massachusetts resident spent less than $861 52 on the lottery Do not reject H 0 there is sufficient evidence to state that the average Massachusetts resident spent less than $861 52 on the lottery Do not reject H 0 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

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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

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
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796
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1113
816
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729
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828
740
991
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1109
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944
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654
501
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786
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690