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.A sample 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