A realty company took a survey of 24 homes and found that the homes had an average area ( in square feet) of 2350 square feet with the standard deviation of 235 square feet. Can you conclude that all the homes in that region has a mean square footage greater than 2200 square feet, at the level of significance 0.05? Use the method of testing hypotheses to arrive at the conclusion. Assume that the areas of homes follow a normal distribution.

Which of the following is the correct conclusion?

Answer choice (a): At the 5% level of significance, we do not have sufficient evidence to claim that the average square footage of the house in the region is more than 2200 square feet.

Answer choice (b): At the 5% level of significance, we have sufficient evidence to claim that the average square footage of the house in the region isequal to2200 square feet.

Answer choice (c): At the 5% level of significance, we do not have sufficient evidence to claim that the average square footage of the house in the region is equal to2200 square feet.

Answer choice (d): At the 5% level of significance, we have sufficient evidence to claim that the average square footage of the house in the region is more than 2200 square feet.