3- After completing sales training for a large company, it is expected that the

Question

3- After completing sales training for a large company, it is expected that the salesperson will generate a sale on at least 12 percent of the calls he or she makes. To make sure that the sales training process is working, a random sample of n = 100 sales calls made by sales representatives who have completed the training have been selected and the null hypothesis is to be tested at 0.05 alpha level. Suppose that a sale is made on 8 of the calls. Based on this information, what is the test statistic for this test?

4- Pharmacompany is testing a new drug.

Assume the following hypotheses:

Ho: the drug’s effectiveness is less than or equal to current drugs
Ha: the drug is more effective than current drugs

How would we commit a type I error?

Explanation / Answer

3.

Formulating the null and alternatuve hypotheses,          
          
Ho:   p   >=   0.12
Ha:   p   <   0.12
As we see, the hypothesized po =   0.12      
Getting the point estimate of p, p^,          
          
p^ = x / n =    0.08      
          
Getting the standard error of p^, sp,          
          
sp = sqrt[po (1 - po)/n] =    0.032496154      
          
Getting the z statistic,          
          
z = (p^ - po)/sp =    -1.23091491 = -1.23 [ANSWER, A]

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4.

A type I error is incorrectly rejecting a true null hypothesis. Hence,

OPTION B: b. We determine that the drug is more effective than current drugs, but it isn't. [ANSWER]      

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