A City Claims That 75% of All Low Income Housing $\mathrm { H } _ { 0 }$

Multiple Choice

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) $\mathrm { H } _ { 0 }$ : p = 0.75; $\mathrm { H } _ { \mathrm { A } }$ : 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) $\mathrm { H } _ { 0 }$ : p = 0.75; $\mathrm { H } _ { \mathrm { A } }$ : 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) $\mathrm { H } _ { 0 }$ : p = 0.75; $\mathrm { H } _ { \mathrm { A } }$ : 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) $\mathrm { H } _ { 0 }$ : p = 0.75; $\mathrm { H } _ { \mathrm { A } }$ : 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) $\mathrm { H } _ { 0 }$ : p = 0.75; $\mathrm { H } _ { \mathrm { A } }$ : 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%.