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6. A survey of 36 randomly selected students who dropped a course was conducted at a college. The following results were collected. Complete parts (a) through (a) Construct a contingency table for the two variables. (C) Course Personal Work Full data set Male Personal M Work Work Female Work M Course Personal Work M Work M Personal (b) Test whether gender is independent of drop reason at the a = 0.1 level of significance. M Personal F Course Course M Work M Personal M Work What are the hypotheses? M Personal F Personal M Course M Course F Work M Course O A. Ho: Gender and drop reason are independent. M Course M Personal F Work Hy: Gender and drop reason are dependent. Personal F Course M Work Work M Personal M Course O B. Ho: Pc = Pp = PW Work M Work Personal Hy : At least one of the proportions is different from the others. F Personal F Personal F Personal Click the icon to view the Chi-Square table of critical values. O C. Ho: Oc = Ec and Op = Ep and Ow = Ew H1: Oc # Ec or Op # Ep or Ow * Ew Compute the value of the chi-square test statistic. XO= (Round to three decimal places as needed.) What range of P-values does the test statistic correspond to? The P-value is (1). Make the proper conclusion. Choose the correct answer below. O A. Fail to reject Ho. There is sufficient evidence that gender and drop reason are dependent O B. Fail to reject Ho. There is not sufficient evidence that gender and drop reason are dependent. O C. Reject Ho. There is not sufficient evidence that gender and drop reason are dependent. O D. Reject Ho- There is sufficient evidence that gender and drop reason are dependent. (c) Construct a conditional distribution of drop reason by gender. Fill in the table below. Course Personal Work Male Female (Round to three decimal places as needed.) Choose the correct bar graph below. O A. P C PW C Male Female O B. P W