social scientist sampled 140 people and classified them according to income level and whether or not they played the lottery (LOTTO) in the last month. The sample information is reported below. Is it reasonable to conclude that playing the lottery is related to income level? Use the .05 significance level.   INCOME   LOW MIDDLE HIGH TOTAL PLAYED 46 48 21 115 DID NOT PLAY 14 12 1

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A social scientist sampled 140 people and classified them according to income level and whether or not they played the lottery (LOTTO) in the last month. The sample information is reported below. Is it reasonable to conclude that playing the lottery is related to income level? Use the .05 significance level.

  INCOME
  LOW MIDDLE HIGH TOTAL
PLAYED 46 48 21 115
DID NOT PLAY 14 12 19 45
TOTAL 60 60 40 140
         

a. State the null hypothesis and the alternate hypothesis.
b. What is the decision rule?
c. Determine the value of chi-square.
d. Interpret the results

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