Three years ago, the mean price of an existing single-family home was $243,701. A real estate broker believes that existing home prices in her neighborhood are higher. (a) State the null and alternative hypotheses in words. (b) State the null and alternative hypotheses symbolically. (c) Explain what it would mean to make a Type | error. (d) Explain what it would mean to make a Type II error. (a) State the null hypothesis in words. Choose the correct answer below. O A. The mean price of a single family home in the broker's neighborhood is different from $243,701. O B. The mean price of a single family home in any neighborhood is $243,701. O C. The mean price of a single family home in the broker's neighborhood is greater than $243,701. O D. The mean price of a single family home in the broker's neighborhood is $243,701. State the alternative hypothesis in words. Choose the correct answer below. O A. The mean price of a single family home in the broker's neighborhood is different from $243,701. O B. The mean price of a single family home in any neighborhood is $243,701. O C. The mean price of a single family home in the broker's neighborhood is greater than $243, 701. O D. The mean price of a single family home in the broker's neighborhood is $243,701. (b) State the hypotheses symbolically. $ (Type integers or decimals. Do not round.) (c) What would it mean to make a Type I error? The broker the hypothesis that the mean price is $ , when the true mean price is VS. (Type integers or decimals. Do not round.) (d) What would it mean to make a Type II error? The broker the hypothesis that the mean price is $ , when the true mean price is VS (Type integers or decimals. Do not round.)