Asked by kayla wallace on Jun 27, 2024
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Five years ago,a company found that 8% of its employees commuted to work by car.A test for the current proportion of commuting employees was done on a random sample of 1000 employees,and found car commuting to be 12%.Create a 95% confidence interval for the proportion of employee commute by car.
A) Based on the data,we are 95% confident the proportion of employee commute by car is between 8% and 16%.
B) Based on the data,we are 95% confident the proportion of employee commute by car is between 4.64% and 19.36%.
C) Based on the data,we are 95% confident the proportion of employee commute by car is between 6.32% and 13.68%.
D) Based on the data,we are 95% confident the proportion of employee commute by car is between 9.99% and 14.01%.
E) Based on the data,we are 95% confident the proportion of employee commute by car is between 6.32% and 9.68%.
Confidence Interval
A span of numerical values, derived from data collected from samples, that is assumed to capture the value of an unknown population quality.
Proportion of Employee
A ratio or fraction that represents the number of employees in a particular category relative to the total number of employees.
Commute by Car
The act of traveling between one's home and workplace or school by automobile.
- Gain proficiency in the mechanism and consequence of forging confidence intervals for population proportions.
- Differentiate between various kinds of confidence intervals based on the data and context presented.
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Learning Objectives
- Gain proficiency in the mechanism and consequence of forging confidence intervals for population proportions.
- Differentiate between various kinds of confidence intervals based on the data and context presented.
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