Have opinions on the amount of money being spent on solving…

Have opinions on the amount of money being spent on solving the problems of the big cities changed in recent years?  According to the General Social Survey, 544 out of 1149 Americans in 2014 (group 1) think that too little is being spent on solving the problems of the big cities compared with 573 out of 1059 Americans in 2018 (group 2).  You are going to construct a 95% confidence interval for the parameter.   a. Which of the following are the necessary assumptions for a 95% confidence interval for comparing two independent proportions? I. Quantitative data in both groups II. Categorical data in both groups III. Independent random samples IV. The sample sizes n1= 1149 and n2 = 1059 are both at least 30 V. Successes and failures in group 1 and group 2 are 544, 605, 573, 486 respectively and are all at least 15. For credit, you must choose all of the assumptions that apply. [1]   b. The 95% confidence interval is (-0.11, -0.03).  Complete the interpretation. We are 95% confident that the true proportion of Americans who think that too little is being spent on the problems of the big cities in 2014 is between __________________ than in 2018. [2]   c. The z test statistic was calculated using the pooled proportion.  What is the value of the pooled proportion for this significance test? [3]  

Do you watch television via cable or satellite or can you ac…

Do you watch television via cable or satellite or can you access the content you want online?  In a recent Pew Research Center survey of a random sample of 583 U.S. adults who do not subscribe to cable or satellite TV at home, 414 of them said that they can access the content they want online.  You are going to construct a 95% confidence interval for the population proportion of U.S. adults who do not subscribe to cable or satellite TV that access the content they want online.    a. Which of the necessary assumptions are met? I. A SRS was taken. II. The population is normally distributed. III. The sample size is at least 15. IV. The sample size is at least 30. V. Successes and failures are both at least 15. For credit, you must choose all of the assumptions that apply. [1]   b. What is the margin of error? [2]   c. Calculate the 95% confidence interval. [3]   d. Given the following two statements: I. The symbol for the point estimate is

How many hours a week, on average, do twelfth grade students…

How many hours a week, on average, do twelfth grade students hang out with friends? You think it is around 5 hours a week, but your friend thinks it is different than that.  A random sample of 18 twelfth grade students is taken.  The sample mean is 9.28 hours with a sample standard deviation of 5.55 hours.  A boxplot of the data does not show strong skewness or outliers.  The hypotheses is as follows: : μ=5 : μ≠5   a. What is the parameter?  Fill in the bank. ____________, the ____________ hours a week twelfth grade students hang out with friends.  [1]   b. The test statistic is 3.27, what is the p-value? [2]   c. In order to make an inference about the population, which assumption is necessary for the data to be representative of the population? [3]   d. For this significance test, you reject Ho and find significant evidence that the true mean hours a week twelfth grade students hang out with friends is different than 5 hours.  What type of error could you have made? [4]   e. Given the following two statements: I. It was reasonable to use t procedures for this significance test. II. The 95% confidence interval for this data will not include 5 hours. Which of the statements are true? [5]