Question

I. Answer the following questions.

1. You believe that there is a difference in salaries between genders in your industry. You know that the average salary for males is $100,000 per year, but you cannot find any information on female salaries. Thus, you collect data on female salaries to test your belief. For your study, what would be your null hypothesis?
a. mean < 100,000
b. mean = 100,000
c. mean < = 100,000
d. not enough information

2. Suppose you conducted a study and calculated a p-value of 0.03. What would you conclude about the research hypothesis?
a. There is not enough evidence to reject the research hypothesis
b. There is sufficient evidence to warrant rejection of the research hypothesis
c. Not enough information to draw a conclusion regarding the research hypothesis
d. None of the above

3. A business owner believed that a higher percentage of females than males bought items from her stores. To test her belief, she conducted a study. What might her research hypothesis be?
a. p = .5
b. p > .5
c. p > .5
d. Not enough information

4.

A study was conducted to see if a diet was effective. To measure effectiveness, the researchers measured the amount of weight lost by subjects. The researchers also defined an effective diet as one in which the average weight loss was more than ten pounds. After the data was collected the researchers tested their hypothesis at the a significance level of ? = .05, and found of a p-value of p = .0035.

Based on the information provided, 1) what is the null hypothesis?; 2) do they reject the null hypothesis? and 3) does the data support the research hypothesis?

(HINT: think about what the research hypothesis should be -- would you conduct a study to test if a diet was effective? Or would you test to see if it is not effective?)

a.

1.      H₀: µ = 10

2.      reject H₀

3.      The sample data support the research hypothesis
b.

1.      H₀: µ > 10

2.      reject H₀

3.      The sample data do not support the research hypothesis
c.

1.      H₀: µ = 10

2.      fail to reject H₀

3.      The sample data support the research hypothesis
d.

1.      H₀: µ = 10

2.      reject H₀

3.   The sample data does not support the research hypothesis

Answer 1

(a)Our Null hypothesis will contain already known information about the average salary so option(b) that is mean=100000 will be correct

(b)p -value less than level 0.05 indicates rejection of Null hypothesis and no evidence of rejection of research hypothesis so option(a) will be correct

(c) Since the basis of the test is to find whether the percentage of female buyers is greater the research hypothesis will be p>0.5

(d) Null hypothesis:u =10 and we reject Ho as p-value<0.05 which also implies that the sample data is in favour of the research hypothesis.Hence option(a) will be the correct