Each of the situations below require a hypothesis test about a population proportion. In each case, stat the appropriate null hypothesis (Ho) and alternative hypothesis (Ha) in symbols. For part (a) only, also define the parameter (p)

11) Five years ago, a large company found that 8% of its employees commuted to work by car. The company is interested in whether or not this proportion has changed.

select one:

a. Ho: p = 0.08, Ha: p < 0.08

b. Ho: p= 0.08, Ha: p> 0.08

c. Ho: p = 0.08, Ha: p 0.08

d. Ho: p^=0.08, Ha: p^ 0.08

12) Which of the following is the correct definition of the parameter for the previous question?

a. Where p represents the same proportion of all employees in this large company who commute to work by car.

b. Where p represents the population proportion of all employees in this large company who commute to work by car.

c. Where p represents the population of all employees in this large company.

d. Where p represents the 8% of all the employees in this large company who commute to work by car

13. A newspaper is considering the launch of an online edition. The newspaper plans to go ahead only if its convinced that more than 35% of current readers would subscribe.

a. Ho: p= 0.35, Ha: p< 0.35

b. Ho:p=0.35, Ha:p>0.35

c. Ho:p=0.35, Ha:p0.35

d.Ho: p=0.35, Ha:p>0.40

14) 4% of trucks of a certain model have needed new engines after being driven between 0 and 100 kilometres. The manufacturer hopes that the redesign of one of the engines components has solved this problem.

a. Ho: p=0.04, Ha:p<0.04

b. Ho: p= 0.04, Ha: p>0.04

c. Ho:p=0.04, Ha: p 0.04

d. Ho=0.04, Ha 0.04

In last week's lab, you calculated a confidence interval to estimate the proportion of MATH2208 students who prefer sweet snacks. This week, you are going to perform a hypothesis test to see if more than half the population prefer sweet snacks.

Note that the assumptions and conditions are all met. Use the following Minitab out put to help you answer the question below.

Test and CI for one proportion

Method

p: event proportion

Normal approximation method is used for this analysis

Descriptive Statistics

95% Lower Bound

N Event Sample p for p

---------------------------------------

75 39 0.520000 0.425110

Test Null hypothesis Ho: p = 0.5

Alternative hypothesis H1:p****

Z-Value P-value

-------------------

0.35 0.365

15) The Ho is on the output. Which of the following is the correct Ha?

a. Ha:p>0.52

b. Ha:p>0.5

c. Ha:p^>0.5

d.Ha:p^=0.52

16) Identify the test statistic and p-value from the Minitab output. You do not need to adjust the p-value; it is correct for the test

z=

P=value=

17) Which of the following best explains the strength of the p-value

a. very strong evidence for Ha

b. strong evidence for Ha

c. moderate evidence for Ha

d. weak evidence for ha

e. No evidence for Ha

18) State your conclusion in the context of the problem