Part 1: Peiform a ttest using the following informzion: You work for a US senator. After six months in ofce, she evaluates her public approval rating by surveying 25 random citizens in her district. The responses in the sample indicate that the senator has a 63% mean approval rating (3? = 63), with a variance of 16 (U = 16). The senator will continue her current agenda only if she is convinced that her approval rating is above 60% in the population (u > 60). Can she conclude that this is true in the population? She wants to be at least 99% condent before going forward. You decide to perform a ttest to determine if the mean approval rating in the sample of 25 citizens could have come from a population with an approval rating of 60% or below (your null hypothesis). Use the following equations and ttable to make a decision about whether the senator should continue her current agenda or not. i _ CL t : #0 5 : 'f v a: = 1 5 100 x/ M > ta > Reject the null hypothesis M Fail to reject the null hypothesis First state your null hypothesis. H 0 1 Now state your alternative hypothesis. H1: What is (I? Use the table below to nd the critical t value. [ML 0F SIGNIFICANCE FOR TwDrTiziIed' Test .20 .1 0 .05 .02 .0! .001 One-Thiled Test if .10 .05 .025 .01 .005 .0005 '11 1.373 1.721 2.030 2.513 2.831 3.819 22 1.321 1.717 2.074 2.508 2.819 3.792 2.3 1.319 1.714 2.069 2.500 2307 3.767 24 1.318 1.71! 2.064 2.492 2.797 3.745 25 1.316 1.708 2.060 2.485 2.787 3.725 26 1.315 1.706 2.056 2.479 2.779 3.707 27 1.314 1.703 2.052 2.473 2.771 3.690 . -N - M. .. .t- a ago 1 z-u Now compute the t-statistic: Compare the tstatisc to the crical t value. Should you REJECT or FAIL TO REJECT (circle one) the null hypothesis? What does this mean? To answer that question, nish the following statement: Based on the t-test, I am % condent that the sample mean approval rating of 63% DID I DID NOT (circle one) come our a population with a mean approval rating of 60% or less. Therefore the senator should (circle one): a Continue with her current agenda b. Perform another survey with a larger sample of citizens because the t-test was inconclusive Part 2: Perform and exnlain a {19.57 in Excel