stat hw

WS #23 Hypothesis-Testing for p page 1 of 2 4/4/2017 Show your work. Clearly indicate your final answer. Do not round until the final answer. Record the final answer to 4 places after the decimal.

Course Number and Section _________________ NAME: __________________________________ Date: ___________________________________

WS #23 Hypothesis-Testing for p

1. Observational studies over a long time show that 13% of all vehicles that travel on Interstate 81 through Adams, NY, are Canadian registered. We take a Simple Random Sample of 350 speeding tickets from those given to motorists on this stretch of roadway and find that 50 of the sampled tickets were given to Canadian vehicles. Can we conclude that state troopers give Canadians more than share of tickets (discriminate against when they ticket drivers for speeding)?

Getting Started: How do I determine what kind of variable I have?

a. What do we have a sample of? Drivers? Tickets?

b. The piece of information is recorded for each observation in the sample

c. Type of Variable categorical or quantitative

Formal Hypothesis Test

Identify the parameter of interest (symbol) and describe it in the context of the problem.

State Ho:

State Ha:

Draw the sampling distribution of the sample statistic and

i. label the horizontal axis with the appropriate sample statistic’s symbol, and

ii. the test statistic symbol (z or t), and iii. the center with the hypothesized value of

the population parameter.

Choose α

b. Calculate the test statistic here, and put it on your diagram.

Test Statistic Value Find p-value. p value =

Make a statistical decision. Reject Ho Do NOT Reject Ho

Write a conclusion in context

α =

WS #23 Hypothesis-Testing for p page 2 of 2 4/4/2017 Show your work. Clearly indicate your final answer. Do not round until the final answer. Record the final answer to 4 places after the decimal.

Check Assumptions

a. Check the Criteria

b. Have the assumptions been satisfied? yes no

2. The manufacturer of a drug used to reduce the stomach and heal damage to the esophagus due to acid reflux claims that more than 95% of patients taking the drug are healed within 8 weeks. Suppose, 231 of 240 patients suffering from acid reflux disease who took this drug were healed after 8 weeks. Conduct the appropriate hypothesis test to determine if you contradict the drug company’s claim.

1. Research Question: 2. Parameter 3. Hypotheses 4. Choose α 5. Calculations: 6. Explicitly identify the test statistic, p-value 7. Reach a statistical decision. 8. Write a conclusion in the context of the problem. 9. Determine if the assumptions for statistical inference have been satisfied.