Stats Math

Math 10 MPS - Homework 6 1. What are the two types of hypotheses used in a hypothesis test? How are they related? 2. Describe the two types of error possible in a hypothesis test decision. True or False? In Exercises 3-8, determine whether the statement is true of false. If it is false, rewrite it as a true statement. 3. In a hypothesis test, you assume the alternative hypothesis is true. 4. A statistical hypothesis is a statement about a sample. 5. If you decide to reject the null hypothesis, you can support the alternative hypothesis. 6. The level of significance is the maximum probability you allow for rejecting a null hypothesis when it is actually true. 7. A large P-value in a test will favor a rejection of the null hypothesis. 8. If you want to support a claim, write it as your null hypothesis. Stating Hypotheses In Exercises 9-14, use the given statement to represent a claim. Write its complement and state which is Ho and which is Ha. 9. p >.65 10. μ ≤ 128 11. σ2 ≠ 5 12. μ =1.2 13. p ≥0.45 14. σ < 0.21

15. A study claims more than 60% of students text-message frequently. In a poll of 1000 students, 660 students

said they text message frequently. Can you support the study’s claim? Conduct the test with α = 1%. Show all steps of hypothesis testing

16. 15 I-pod users were asked how many songs were on their I-pod. Here are the summary statistics of that study:

200650 == sX Can you support the claim that the number of songs on a user’s I-pod is different from 500? Conduct the test with α= 5% . Show all steps.