Question

For each of the following situations do the following:

1: state the null and alternative hypothese in statistical notation.

2; indicate whether a one-tailed or two tailed test is appropriate

3. for question A. only, define the parameters

A. The US Food and Drug Administration wants to test a new prescription drug by the upjoh comapny to detemine if less than 3% of people suffer a certain side effect as claimed by the company.

B. The National Academy of Scicences has recommended that the mean daily sodium intake for a person should be between 1100 mg and 3300 mg. A medical reseracher thinks that more than 30% of adaults exceeed 3000 mg daily sodium intake.

c. A soft Drink machine is set to dispense 7.0 ounces per cup. A sample ios chosen to determine if the machine is still under filling 11% of cups.

2. In 1997 a bije helmet law that covers cyclists of all ages came into effect. Studies showed that in 1996 36% of adults wore a hemet while biking. It has been suggested that after enforccement of the law the proportion of adults wearing helmets increased. In a 1998 study that among a randonnly selected sample of 128 adult cyclists, 60 reported that they wore a helmet while cycling.  

Is there evidence that the proportion of individuals wearing a bike helmet increased after the law was implemented?

A. State the hypotheses in symbols, and define the parameter p in context.

B. Check the assumptions and conditions needed for calculating interval are met. Clearly state the asuumptions and conditions.

c> Calculate the test statistic (show your work)

D. Use table Z to find the p value

E. Which of the following is the correct assessment of strength of evidence?

a. a very strong evidence for Ha

b. strong eveidence for Ha

c. good eveidence for Ha

d. weak evidence for Ha

e. no eveidence for Ha

F. State your conclusion in the context of the question.

Answer 1