1) According to official census figures, 8% of couples living together are not married. A researcher took a random sample of 400 couples and found that 9.5% of them are not married. Test, at the 15% significant level, if the current percentage of unmarried couples is different from 8%. Use p-value method 2.) According to the Center for Disease Control, 49.4% of American adults 18 years old and over meet their guidelines for physical activity. A sporting goods company claims that the proportion of their employees who meet these guidelines is higher than the national result. They took a random sample of 400 employees and 218 met the guidelines. Test the company's claim using the @ = 0.05 level of significance. Use critical value method 3.) Asample of 800 items produced on a new machine showed that 48 of them are defective. The factory will get rid of the machine if the data indicates that the proportion of defective items is more than 5%. At a significance level of 10% does the factory get rid of the machine or not? Use p-value method 4, e In a survey of 1200 adults, 52% said it is not morally wrong to change the genetic makeup of human cells. Test the claim that the majority of adults do not think it is morally wrong to change the genetic makeup of human cells as the 5% significance level. Use critical value method 5.) Asimple random sample of 320 adults were asked their favorite ice cream flavor. Of the 320 individuals surveyed, 58 responded that they prefer mint chocolate chip. Do less than 25% of adults prefer mint chocolate chip? Test the claim at the 0.01 level of significance. Use critical value method