I wanted to make sure my answer was correct for this one: A quality control engineer at a potato chip company tests the bag filling machine by weighing bags of potato chips. Not every bag contains exactly the same weight. But if more than 10% of bags are over-filled then they stop production to fix the machine. They define over-filled to be more than 1 ounce above the weight on the package.

The engineer weighs 203 bags and finds that 34 of them are over-filled. He plans to test the hypotheses H0: p = 0.1 versus Ha: p > 0.1. What is the test statistic?

z = 3.21 --- my answer

I need help on this. According to a study on the effects of smoking by pregnant women on rates of asthma in their children, for expectant mothers who smoke 20 cigarettes per day, 22.4% of their children developed asthma by the age of two in the US. A biology professor at a university would like to test if the percentage is lower in another country. She randomly selects 345 women who only deliver one child and smoke 20 cigarettes per day during pregnancy in that country and finds that 63 of the children developed asthma by the age of two. In this hypothesis test,

the test statistic, z =

and the p-value =