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%.Test an appropriate hypothesis and state your conclusion.Be sure the appropriate assumptions and conditions are satisfied before you proceed.
A) 
: p = 0.75;
: p ≠ 0.75;z = -2.32;P-value = 0.0204.This data shows strong evidence that the proportion of 1500 sq.ft.housing is less than 75%
B) 
: p = 0.75;
: p < 0.075 z = 2.28;P-value = 0.0113.This data shows weak evidence that the proportion of 1500 sq.ft.housing is less than 75%
C) 
: p = 0.75;
: p > 0.75;z = -2.32;P-value = 0.9898.This data shows no evidence that the proportion of 1500 sq.ft.housing is less than 75%
D) 
: p = 0.75;
: p > 0.75;z = 2.32;P-value = 0.9898.This data shows strong evidence that the proportion of 1500 sq.ft.housing is less than 75%
E) 
: p = 0.75;
: p < 0.75;z = -2.28;P-value = 0.0113.This data shows strong evidence that the proportion of 1500 sq.ft.housing is less than 75%
Correct Answer:
Verified
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