In 2012, the General Social survey was interested in studying individuals volunteering habits.Then, they randomly selected 592 men and 702 women and then asked them if they had volunteered in the last month. Out of 592 men, 32 said that they had volunteered in the past month and out of 702 women, 37 said that they had volunteered in the past month. Suppose that you want to make a 95% confidence interval for  , what assumption is violated in this case?

In 2014, the General Social Survey asked respondents if they  had completed a stress management program in the past 12 months. Out of a random selection of 151 Republicans (group 1), 21 said yes. Out of 83 Independents (group 2), 16 said yes. Suppose that a significance test for Ho:p1-p2=0 versus Ha:p1-p2 does not equal 0 was computed. What would be the pooled proportion?

The General Social Survey first randomly selected participants. They asked 320 men and 306 women if they felt that they were not informed about politics at all. Out of 320 men, 7 said that they felt that they were not informed and out of 306 women, 9 said that they felt that they were not informed. Suppose that you want to make a 95% confidence interval for 

Two hundred people were randomly selected in the year 2012 (group 1) and in the year 2013 (group 2). They were asked how many hours a day they spent listening to a radio. The sample mean in 2012 was 1.32 hours and in 2013 it was 1.26 hours. What is the point estimate of the population mean difference between 2012 and 2013?

Let alpha = 0.05. Suppose that you were testing Ho:mu = 30 versus Ha: mu greater than 30. If you had a p-value of 0.03, what decision would you make?

A nutritionist was interested in determining if participating in a weight loss program could reduce someone’s weight. She had 4 participants participate in a medical diet plan. She recorded their weight at the beginning of the program and at the end of the program. Find the 95% confidence interval for the population mean change in weight. 1 2 3 4 before 165 204 201 207 after 170 199 197 205  

Do more men(m) then women(f) enroll in statistics courses? What would be the correct alternative hypothesis?

A fellow student says that the average salary of graduates in your major is 30,000 dollars per year. You don’t think that this is correct. You think that the average salary is different from this. To show that your fellow student is wrong, you take a simple random sample of fifty graduates who have graduated in the past 5 years and ask for the amount of their starting salary. We want to investigate whether there is evidence to support your claim that the population mean starting salary is different from 30,000 and find that the p-value is 0.07.    What can be said about the 95% confidence interval for the population mean difference?

A nutritionist was interested in studying American’s opinions about healthy eating. One hundred randomly selected people who were starting a diet were asked if they ate three servings of whole grains a day. After six months, the same 100 people were asked if they ate three servings of whole grains a day. Besides random sampling and categorical data, what other assumption needs to be met? Is it met?   Six months later “Yes, ate whole grains” Six months later “No, did not” Initial Response “Yes, ate whole grains” 26 15 Initial Response “No did not” 17 42

Two hundred people were randomly selected in the year 2010 (group 1) and in the year 2012 group 2). They were asked how many hours a day they spent on a digital device (online, mobile, or other). The sample mean in 2010 was 3.14 hours and in 2012 it was 4.31 hours. What is the point estimate of the population mean difference between 2010 and 2012?