04 Jun Question A consulting firm had predicted that 35% of the empl
Question
A consulting firm had predicted that 35% of the employees at a large firm would take advantage
of a new company Credit Union, but management is skeptical. They doubt the rate is that high.
A survey of 300 employees shows that 138 of them are currently taking advantage of the Credit
Union.
1. What proportion of the sampled employees is taking advantage of the Credit Union?
a. 0.35
b. 0.46
c. 0.5
2. Suppose that you want to conduct a hypothesis test to determine whether or not the
proportion of employees taking advantage of the Credit Union is less than the 35%
predicted by the consulting firm. What is the form of the alternative hypothesis for this
test?
a. Ha: m < 0.35 b. Ha: p < 0.35 c. Ha: p < 0.46 3. What is the value of the test statistic for the hypothesis test described in Question 2? a. 3.93 b. 2.93 c. 4.93 4. What is the critical value that defines the rejection region for the test? Assume a significance level of 0.05. a. –Z0.05 = -1.645 b. –Z0.05/2 = -1.96 c. –t0.05 = -1.697 5. What conclusion do you reach? a. Reject Ho and conclude that less than 35% are taking advantage of the Credit Union. b. Fail to reject Ho and conclude that less than 35% are taking advantage of the Credit Union. c. Fail to reject Ho and conclude that there is not enough evidence to conclude that less than 35% are taking advantage of the Credit Union. The Crown Bottling Company has just installed a new bottling process that will fill 16-ounce bottles of the popular Crown Classic Cola soft drink. The company wants to be sure that the new process is not overfilling or underfilling the bottles. As part of an ongoing quality assurance process, a sample of 36 bottles of soda is tested and the average amount of soda in the bottles is found to be 15.96 ounces. Assuming that the population standard deviation for the amount of soda dispensed by the new bottling process is 0.1 ounces, do the data provide evidence that the new bottling process needs to be adjusted (e.g., is the average amount of soda in the bottles different than the expected value of 16 ounces). 6. What is the form of the alternative hypothesis for this test? a. Ha: m > 16
b. Ha: m ? 16
c. Ha: m < 16 7. What is the value of the test statistic?
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