Please answer the following questions. Most of them are multiple choice. Please show working.
Problem 1 Context
The employee manager of a large company would like to estimate the proportion of full-time employees who prefer adopting the basic plan of the available health care plans in the forthcoming annual enrollment period.
Given this context, please select the most appropriate answer to each of the following questions:
1) The alternative hypothesis usually represents:
Group of answer choices
the status quo
the perceptions of the sample population
the theory the researcher would like to prove
the preconceived ideas of the researcher
2) The employee manager believes that if the proportion of employees preferring the basic plan is greater than 19%, then that plan should be subsidized by the company. A 95% confidence interval for the proportion of employees preferring the basic plan yields (16.35%; 18.12%). Based on this interval, at the 5% level of significance what should the manager’s decision be regarding whether or not to subsidy the basic plan?
Group of answer choices
Subsidy the plan
Do not subsidy the plan
Inconclusive. Need more information to make a decision
3) Explain your selection on the previous question.
4) Write out the null and the alternative hypotheses that the manager is testing in this example.
5) The manager is not satisfied with the accuracy of the confidence interval (16.35%; 18.12%). What are the options to increase the interval’s accuracy (at the same confidence level)? (Mark all that correspond)