Statistics: A news report stated that 70% of high school students

Statistics: A news report stated that 70% of high school students

Subject: Mathematics / Statistics
Question
Hypothesis Test Questions you must:
⢠State both the null & alternative hypotheses

⢠State which distribution or test you are using (z, t, chi-squared, etc.)

⢠State EITHER the p-value and the ð¼ â ð£ððð¢ð if you are using the p-value

approach OR critical value and the test statistics if you are using the classical

approach.

⢠State your conclusion as a complete sentence (i.e. âThis is sufficient

evidence to support the claim that students who take notes perform better

on the test.â)

10. A news report stated that 70% of high school students have a Facebook

account. The principal of a local college preparatory high school thinks this

percentage is different for students at his school. He polls 200 students at his

school and discovers that 143 of them have Facebook accounts. Use this data

to test the principal claim at the ð¼ = 0.1 level of significance.

11. According to the 2000 US Census, US families with children have, on

average, 1.86 children. Stan the statistician feels this population mean has

increased since 2000. He surveys 500 random households with children and

finds they have a mean of 2.01 children with a standard deviation of 0.42

children. Use this data to test Stanâs claim at the ð¼ = 0.05 level of significance.

12. The amount of liquid in a Happy Life bottle of liquid is normally distributed

with a mean of 12 ounces and a standard deviation of 0.1 ounce. The manager

at the Happy Life bottling plant suspects that his machines need to be

recalibrated because they are losing consistency. He randomly selects 16

bottles of water and find that they have a standard deviation of 0.19. Is this

sufficient evidence to support the managerâs request to have the machines

recalibrated at the ð¼ = 0.01 level of significance?