A large bank is interested to determine whether people's opinion about spending for education is related to the region people live in. The bank chooses a random sample of 532 people. The data are recorded in the table of counts below. Region A Region B Region C Total For Increased Spending 250 105 440 on Education Against Increased Spending 50 20 22 92 on Education Tota 1300 105 127 537 Based on the random sample data above, test to determine if the Opinion about spending is dependent on (related to) the Regin. Test at the 5% level of significance. Answer all the fields below, showing the formulas and your calculations and give an interpretation in the context as indicated below: (a) State the null and alternative hypothesis. Ho : The Opinion about spending is independent of the Region Ha : The Opinion about spending is independent of the Region (b) Complete the table below for the expected counts for each cell. Round answers to 3 decimal place if needed. Region A Region B Region C Tota For Increased Number Number Number 1440 |Spending on Education Against Increased Number Number Number 92 Spending on Education Tota 1300 105 127 1532 (c) The degrees of freedom for the hypothesis test is df = Number (d) The value of the test statistic for the test of hypothesis is Number (Round your answer to 3 decimal places) (e) The P-value for the test of hypothesis is Number (Round your answer to 4 decimal places) (f) Conclude the test in the context of the problem. Type either reject or do not reject in the box below. At the 5% level of significance we the null hypothesis (9) For this question, type either does or does not in the box below. At the 5% level of significance we conclude that the sample data give enough evidence that the Opinion about Spending is related to the Region