Researchers want to determine if there is a connection between choice of musical instruments and gender. They want to see if the proportion of men (m) who play the flute is different from the proportion of women (f) who play the flute. They find that the p-value is 0.005.   What can be said about the 99% confidence interval for the population mean difference?

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?

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?

In 2014, the General Social survey was interested in studying individuals volunteering habits.They randomly selected 580 men and 689 women and then asked them if they had volunteered in the last month. Out of 580 men, 34 said that they had volunteered in the past month and out of 689 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?

A study was done to see if students who took AP Calculus  before taking the AP statistics course did better than students who did not take AP Calculus. They wanted to see if there was a difference in the AP Statistics exam scores. The p-value was zero. What does this mean?

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

A nutritionist was interested in studying American’s opinions about healthy living. One hundred randomly selected people who were starting a diet were asked if they consumed at least 24 ounces of water a day. After six months, the same 100 people were asked if they consumed at least 24 ounces of water a day   Six months later “Yes, consumed at least 24 ounces of water” Six months later “No, did not” Initial Response “Yes, consumed at least 24 ounces of water” 25 20 Initial Response “No did not” 30 25   What is the sample proportion of people who responded “Yes, they consumed at least 24 ounces of water” six months later?

Is the mean nursing salary for men and women with similar experience statistically significantly different? A significance test was conducted to test this claim. The p-value was 0.07. What can be said about the 95% confidence interval for the population mean difference?

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?

A press organization was interested in studying people’s voting habits. One hundred randomly selected registered voters over the age of 50 and one hundred randomly selected voters between the ages of 30 and 50 were asked if they had decided who they were going to vote for in the presidential election.  Would this be an example of independent or dependent samples?