Data for a sample of 30 homes for sale in New York was selected from the website zillow in 2010. The following information was recorded: Asking price (in the $1,000's), size (in 1,000's square feet), number of bedrooms, and the number of bathrooms. The mean asking price of these 30 homes was $565.633 thousand with an associated standard deviation of $697.613 thousand. A distribution of the 30 NY home asking prices is provided below. The average price for homes in the U.S. in 2010 was $272.9 thousand. Researchers were interested at the time if the mean asking price for homes in NY was more than the mean asking price for U.S. homes. Boxplot of the Asking Price for the 30 NY Homes 2500 Asking Price (in thousands of $) 1500 8 500 Suppose a second sample of NY homes was taken and the 95% confidence interval from this sample was found to be (266.882,560.178) thousand dollars (NOTE: This is not the correct interval for Q5.8). Select all of the following statements which are true based on this interval. The long-run proportion of intervals computed over many samples of 30 NY homes that will contain the average asking price of all NY homes is approximately 0.95. Approximately 95% of NY homes will have asking prices between 266.882 and 560.178 thousand dollars. If we were to repeatedly sample 30 NY homes, 95% of those samples would result in a 95% confidence interval of (266.882,560.178) thousand dollars. The mean asking price of NY homes for this new sample is 413.53 thousand dollars. Based on the confidence interval provided in Q5.10, (266.882,560.178), what would we know about the p-value for testing against the average asking price for U.S. homes? O It would be smaller than 0.05 O It would be larger than 0.05 O It would be smaller than 0.10 O It would larger than 0.10 Regardless of your answer to 25.11, let's say the p-value was larger than the significance level. Which of the following represents the type of error it would be possible to make? O Concluding the true mean asking price for NY homes is greater than $272.9 thousand when really it is $272.9 thousand. O Concluding the true mean asking price for NY homes is greater than $272.9 thousand when really it is greater than $272.9 thousand. Concluding the true mean asking price for NY homes is $272.9 thousand when really it is greater than $272.9 thousand. O Concluding the true mean asking price for NY homes is $272.9 thousand when really it is $272.9 thousand