Three years ago, the mean price of an existing single-family home was $243,780. A real estate broker believes that existing home prices in her neighborhood are higher. (a) Determine the null and alternative hypotheses. (b) Explain what it would mean to make a Type I error. (c) Explain what it would mean to make a Type ll error. (a) State the hypothesos. Ho: (Type integers or decimals. Do not round.) (b) Which of the following is a Type I error? O A. The broker rejects the hypothesis that the mean price is $243,780, when the true mean price is greater than $243,780. O B. The broker fails to reject the hypothesis that the mean price is $243,780, when it is the true mean cost. OC. The broker fails to reject the hypothesis that the mean price is $243,780, when the true mean price is greater than $243,780. OD. The broker rejects the hypothesis that the mean price is $243,780, when it is the true mean cost. (c) Which of the following is a Type Il error? O A. The broker rejects the hypothesis that the mean price is $243,780, when the true mean price is greater than $243,780. O B. The broker rejects the hypothesis that the mean price is $243,780, when it is the true mean cost. OC. The broker fails to reject the hypothesis that the mean price is $243,780, when it is the true mean cost. OD. The broker fails to reject the hypothesis that the mean price is $243,780, when the true mean price is greater than $243,780.