1. Eric randomly surveyed 150 adults from a certain city and asked which team in a contest they were rooting for, either North High School or South High School. Of the surveyed adults, 96 said they were rooting for North High while the rest said they were rooting for South High. Eric wants to determine if this is evidence that more than half the adults in this city will root for North High School. Suppose a p-value from the correct hypothesis test was 0.0030. Which of the following is a correct interpretation of this p-value? Choose the correct answer below. A. If more than half of all adults in this city root for North High, 3 out of every 1000 random samples of the same size from this population would produce the same result observed in this study or a result more unusual. B. If half of all adults in this city root for North High, 3 out of every 1000 random samples of the same size from this population would produce the same result observed in this study or a result more unusual. C. There's a 0.3% chance that the null hypothesis is true. D. It states that 3 out of every 1000 random samples of the same size from this population would produce the same result observed in this study or a result more unusual. 2. A statistics instructor randomly selected four bags of oranges, each bag labeled 10 pounds, and weighed the bags. They weighed 10.8, 10.2, 10.7, and 10.5 pounds. Assume that the distribution of weights is Normal. Find a 95% confidence interval for the mean weight of all bags of oranges. Use technology for your calculations. Answer parts a and b below. a. First, notice that the population standard deviation is unknown. This means that you can use a one-sample t-interval to find the confidence interval. The conditions for constructing a confidence interval are met, because the bags of oranges sampled were selected randomly and independently, and it is assumed that the distribution of weights is Normally distributed. Enter the four given values into your technology. Use technology to calculate a 95% confidence interval. What is the lower bound of the interval? The lower bound of the confidence interval is (Type an integer or decimal rounded to the nearest thousandth as needed.) What is the upper bound of the confidence interval? The upper bound of the confidence interval is (Type an integer or decimal rounded to the nearest thousandth as needed.) 3. A statistics instructor randomly selected four bags of oranges, each bag labeled 10 pounds, and weighed the bags. They weighed 10.8, 10.2, 10.7, and 10.5 pounds. Assume that the distribution of weights is Normal. Find a 95% confidence interval for the mean weight of all bags of oranges. Use technology for your calculations. Answer parts a and b below. a. First, notice that the population standard deviation is unknown. This means that you can use a onesample t-interval to find the confidence interval. The conditions for constructing a confidence interval are met, because the bags of oranges sampled were selected randomly and independently, and it is assumed that the distribution of weights is Normally distributed. Enter the four given values into your technology. Use technology to calculate a 95% confidence interval. What is the lower bound of the interval? The lower bound of the confidence interval is (Type an integer or decimal rounded to the nearest thousandth as needed.) What is the upper bound of the confidence interval? The upper bound of the confidence interval is (Type an integer or decimal rounded to the nearest thousandth as needed.) Need to solve for T ___ P Value ___ As well as answer whether or not the null needs to be rejected or not and the reason one way or the other. Data is at a significance level of 0.05