Martial Gender Spend Visit IncomeAge Recode(Martial)Recode(Gender)

2 2 75 12 7400 45 married male

2 3 20 3 8600 31 married prefer not to say

1 2 125 8 3600 62 single male

2 1 130 11 8700 32 married female

1 2 70 16 8800 33 single male

1 2 20 6 5300 53 single male

2 1 75 13 4100 64 married female

1 3 150 3 8300 34 single prefer not to say

1 1 85 7 8800 35 single female

2 3 150 9 4400 65 married prefer not to say

2 2 100 6 6500 51 married male

2 3 40 6 6400 52 married prefer not to say

1 1 90 5 5200 54 single female

1 2 90 8 7200 44 single male

2 1 110 2 7400 43 married female

1 3 145 11 7900 37 single prefer not to say

1 2 65 8 3400 72 single male

2 1 95 9 7300 42 married female

1 1 150 3 6800 47 single female

2 3 200 13 5200 55 married prefer not to say

Problem 5 At a 2.5% level of significance, conduct the appropriate hypothesis test to see if there is a statistically significant positive correlation between Variable 3 and Variable 5, based on the twenty 20 pairs of sample data values you created for these two variables in Problem 1. In your answer make sure that you show H0 and Ha, sketch the sampling distribution showing the critical value(s) and the rejection region. Use your calculator to compute the correlation coefficient and test statistic and also state the decision and conclusion in the context of the survey. Show all your work .