# statistics hw

**Question description**

**Teenage Tobacco Use:** In a random sample of 1200 teenagers, 216 had used tobacco of some form in the last year. The managers of an anti-tobacco campaign want to claim that less than 20% of all teenagers use tobacco. Test their claim at the 0.10 significance level.

(a) What is the sample proportion of teenagers who use tobacco?** Round your answer to 3 decimal places. **

p̂ = .........................

(b) What is the test statistic?** Round your answer to 2 decimal places. ***z*"p = ..................

(c) What is the P-value of the test statistic?** Round your answer to 4 decimal places. **

P-value = ...................

**AM -vs- PM Height (Raw Data, Software Required):**

We want to test the claim that people are taller in the morning than in the evening. Morning height and evening height were measured for 30 randomly selected adults and the difference (morning height) − (evening height) for each adult was recorded in the table below. Use this data to test the claim that *on average *people are taller in the morning than in the evening. Test this claim at the 0.05 significance level.

(b) What is the test statistic?** Round your answer to 2 decimal places. ***t-*x= ......................

(c) Use software to get the P-value of the test statistic. **Round to 4 decimal places. **

P-value = .................

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