1)A recent study conducted by the state government attempts to determine whether the voting public supports further increase in cigarette taxes. The opinion poll recently sampled 1500 voting age citizens. 1020 of the sampled citizens were in favor of an increase in cigarette taxes. The state government would like to decide if there is enough evidence to establish whether the proportion of citizens supporting an increase in cigarette taxes is significantly greater than .66 at 5% and 10% significance levels. Indicate which test you are performing; show the hypotheses, the test statistic and the critical values and mention whether one-tailed or two-tailed
2) A data set with 7 observations yielded the following. Use the simple linear regression model.
Greek letter Capital Sigma X =21.57
Greek letter Capital Sigma X2 =68.31
Greek letter Capital SigmaY =188.9
Greek letter Capital Sigma Y2 =5,140.23
Greek letter Capital Sigma XY =590.83
Write the Regression Equation showing Intercept and slope and test the significance of slope at 1% significance level.