Math Problem Statement
According to the 2010 Census,
11.411.4%
of all housing units in the United States were vacant. A county supervisor wonders if her county is different from this. She randomly selects
814814
housing units in her county and finds that
126126
of the housing units are vacant. Complete parts a through d below.
Question content area bottom
Part 1
a) State the hypotheses.
Let the proportion of housing units in the county that are vacant be denoted by p. Choose the correct answer below.
A.Upper H 0 : p greater than or equals 0.114 Upper H Subscript Upper A Baseline : p less than 0.114
Upper H 0 : p greater than or equals 0.114H0: p≥0.114
Upper H Subscript Upper A Baseline : p less than 0.114HA: p<0.114
B.Upper H 0 : p equals 0.114 Upper H Subscript Upper A Baseline : p less than 0.114
Upper H 0 : p equals 0.114H0: p=0.114
Upper H Subscript Upper A Baseline : p less than 0.114HA: p<0.114
C.Upper H 0 : p less than 0.114 Upper H Subscript Upper A Baseline : p equals 0.114
Upper H 0 : p less than 0.114H0: p<0.114
Upper H Subscript Upper A Baseline : p equals 0.114HA: p=0.114
D.Upper H 0 : p equals 0.114 Upper H Subscript Upper A Baseline : p not equals 0.114
Upper H 0 : p equals 0.114H0: p=0.114
Upper H Subscript Upper A Baseline : p not equals 0.114
Solution
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Math Problem Analysis
Mathematical Concepts
Hypothesis Testing
Proportion Testing
Formulas
Test statistic for proportions: z = (p̂ - p0) / √(p0(1 - p0) / n)
Theorems
Central Limit Theorem
Hypothesis Testing for Proportions
Suitable Grade Level
College-level Statistics
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