The following 3x 3 contingency table contains observed 2. frequencies for a sample of 240. Column Variable Row Variable A 20 30 30 20 25 30 60 10 15 a. State null and alternative hypotheses to test for independence of the row and column variables. b. What are expected frequencies for each item?| c. What is the value of test statistic? d. Using a = 0.05 . What is the degree of freedom? What is the p-value? Using the p-value approach, what is your conclusion? |

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Age Age   Gender Under 40 40 or Older Total Male  12 2 14 Female 8 3 11 Total 20 5 25 The table above shows the distribution of age and gender for 25 people who entered a contest. If the contest winner will be selected at random, what is the probability that the winner will be either a female or 40 or older? 13/25 16/25 3/25 10/25

dy Consider the linear differential equation dx appropriate integrating factor for this differential equation? Select one alternative: = 208y + x2022. Which of the following is an