In a survey of 1000 American adults conducted in April 2012, 43% reported having gone through an entire week without paying for anything in cash. Test to see if this sample provides evidence that the proportion of all American adults going a week Without paying cash is greater than 40%. 1. What is the variable of interest in this study? 2. What are the null and alternative hypotheses for this test? (2 points) 3. Check to be sure you may use Normal distribution calculations for this HT (Apply the CLT) (2 points) 4. What is the center of this hypothesis test distribution? 5. Calculate the stande error. 6. Write the notation to describe this variable's normal distribution. 7. Calculate the test statistic. 8. Draw/label/shade a curve. Be sure to include the center and statistic. (2 points) 9. Find the p-value. Indicate how you get this value on your calculator. 10. What is the conclusion of the test in context of the problem? 11. How large a sample would you need for a 95% condence interval in order to get a margin of error Within i1% using 35 = .43? (2 points)