Originally Posted by

**mathwiz1** Having a tough time with me homework on P-Value. If anyone could help solve this?

According to an article in The New York Times, 19.3% of New York City adults

smoked in 2003. Suppose that a survey is conducted this year. 8 out of 80 randomly chosen New York City residents reply that they smoke. At a significance level of 0.05, test the claim that the rate is still 19.3%.

1. Identify H0, Ha.

A) H0: p = 0.193 vs. Ha: p > 0.193

B) H0: p = 0.1 vs. Ha: p < 0.1

C) H0: p = 0.1 vs. Ha: p > 0.1

D) H0: p = 0.193 vs. Ha: p < 0.193

E) H0: p = 0.193 vs. Ha: p ≠ 0.193

2. Compute the test statistic. (2 decimal places)

A. 1.08 B. – 1.08 C. – 2.11 D. 2.11 E. None of the others

3. Compute the P-value. (4 decimal places)

A. 0.9826 B. 0.0174 C. 0.9890 D. 0.0348 E. None of the others

4. At a significance level of 0.05, does the sample provide sufficient evidence to reject that the percent of smokers in New York City is still 19.3%?

A. yes B. no C. more information is needed to determine

5. If the actual rate is 23.1%, what type of error does it introduce?

A. Type I Error B. Type II Error C. No Error