A Report on the U $28 \%$ Of Americans Have Experienced Difficulty in Making Mortgage Payments

Multiple Choice

A report on the U.S. economy indicates that $28 \%$ of Americans have experienced difficulty in making mortgage payments. A news organization randomly sampled 400 Americans from 10 cities named the "fastest dying cities in the U.S." (Forbes Magazine, August 2008) and found that 136 reported such difficulty. Does this indicate that the problem is more severe among these cities? The correct null and alternative hypotheses for testing this claim are

A) $H _ { 0 } : p = 0.28$ and $H _ { A } : p < 0.28$
B) $H _ { 0 } : p = 0.28$ and $H _ { A } : p > 0.28$
C) $H _ { 0 } : p \neq 0.28$ and $H _ { A } : p = 0.28$
D) $H _ { 0 } : p > 0.28$ and $H _ { A } : p = 0.28$
E) $H _ { 0 } : p = 0.28$ and $H _ { A } : p \neq 0.28$