The t-statistic for the individual significance of the estimated slope coefficient ?1 is

3. Problem 9.57: (1 point) Use 1 sample test - for a proportion. Make sure you state hypotheses and write up a conclusion stating how confident you are in H1. test for proportion 9.51 Data Null Hypothesis 7 = 0.55 Level of Significance 0.05 Number of Items of Interest 9 Sample Size 17 Intermediate Calculations Sample Proportion 0.529411765 Standard Error 0.1207 Z Test Statistic -0.1706 Two-Tail Test Lower Critical Value -1.9600 Upper Critical Value 1.9600 p-Value 0.8645 Do not reject the null hypothesis2. 20 politicians are having a tea party, 6 Democrats and 14 Republicans. To prepare, they need to choose: 3 people to set the table. 2 people to boil the water, 6 people to make the scones. Each person can only do 1 task. (Note that this doesn't add up to 20. The rest of the people don't help.) (a) In how many different ways can they choose which people perform these tasks? (b) Suppose that the Democrats all hate tea. If they only give tea to 10 of the 20 people, what is the probability that they only give tea to Republicans? (c) If they only give tea to 10 of the 20 people, what is the probability that they give tea to 9 Republicans and 1 Democrat?17. Let X and Y be two continuous random variables with joint pdf f(x, y) = cry(1+ y) for 0