Asked by
Abdul Satar Ahadyar
on Oct 12, 2024
Verified
A city claims that 75% of all low income housing is 1500 sq.ft.The tenants believe the proportion of housing this size is smaller than the claim,and hire an independent firm to test a random sample size of 120 and found 1500 sq.ft.housing at 66%.Create a 95% confidence interval for the proportion of housing 1500 sq.ft.
A) Based on the data,we are 95% confident the proportion of housing smaller than 1500 sq.ft.is between 57.52% and 74.48%.
B) Based on the data,we are 95% confident the proportion of housing smaller than 1500 sq.ft.is between 57% and 75%.
C) Based on the data,we are 95% confident the proportion of housing smaller than 1500 sq.ft.is between 67.25% and 82.75%.
D) Based on the data,we are 95% confident the proportion of housing smaller than 1500 sq.ft.is between 67.25% and 73.75%.
E) Based on the data,we are 95% confident the proportion of housing smaller than 1500 sq.ft.is between 47.25% and 84.75%.
Confidence Interval
A volley of values, derived from analysis of statistical samples, that is expected to hold the value of a not-yet-identified population parameter.
Low Income Housing
Housing units made affordable for individuals or families with low annual incomes through subsidy or market-rate restrictions.
Housing Size
A measure of the living area provided by a home, typically quantified in square feet or meters.
- Master the technique and implications of devising confidence intervals for population proportions.
- Identify differences across multiple kinds of confidence intervals relative to the given data and context.
Verified Answer
AF
Learning Objectives
- Master the technique and implications of devising confidence intervals for population proportions.
- Identify differences across multiple kinds of confidence intervals relative to the given data and context.