Question 5: [30 links] I. Let p be the probability of obtaining a head om tossing a coin. One tossed this coin 100' times and obtained the proportion ofheads 0.4. Can we conclude that the coin is not balanced at the signicant level, or = 0.05? To do so, {15) a} State the null and alternative hypotheses. b] Compute the test statisticvalue. c) Find the criticalvalue. d] IdentifyI the decision rule and express your decision. I[. The observations of the variable outlook and temp are measured as follows: {15) outlook temp So my Hot So my Hot Overcast Hot Rain Mild Rain Cool Rain Cool Overcast Cool So my Mild So my Cool Rain Mild So my Mild Overcast Mild Overcast Hot Rain Mild We aim to test whether outlook is indqiendent of fan}. at the significant level, a = 0.05. To do so, a] State the null and alternative hypotheses. h] Compute the test statistic-value. c] Find the critical-value. (1] Identify the decision rule and express your decision