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 0.11.   What can be said about the 99% confidence interval for the population mean difference?

A political scientist is interested in studying how Americans feel about having a female American president. He asks 100 people under the age of 40 and 100 people over the age of 40 if they would vote for a women president. The political scientist hypothesized that younger age group(1) would  be more likely to vote for a women president than the older age group(2). What would be the correct null and alternative hypothesis?

Suppose that a researcher wanted to compare times to complete a word puzzle. They wanted to compare the time to complete the puzzle based on the participants experience with video games: minimal experience or substantial experience. The times are below. The individuals were randomly selected. Minimal 17 18 17 19 17 16 14 14 Substantial 12 13 14 15 18 100 17 14 Why might a permutation test be the best option for this scenario?  

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 0.11.    What can be said about the 90% confidence interval for the population mean difference?

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?

In 2000, General Social Survey respondents were asked “How many hours did they spend on their personnel computer per week?”. The researchers were interested in seeing if men (1) spent more time on the personnel computer then women (2).  For this hypothesis, the p-value was 0.0169. Interpret.

In 2000, the General Social Survey asked participants if they had sought information about politics from a friend or relative. Out of 121 men, 63 said friend. Out of 120 women, 60 said friend. 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 famous weight loss program was involved in a study to determine if their current weight loss program scheme was effective. They randomly selected 15 participants and took their weight before the program and then six weeks later. They then took the before weights – after weights and made a confidence interval. The 95% confidence interval was (-1.3, -4.5).  Finish the following sentence “We are 95% confident that the weight before the program was between 1.3 to 4.5 then after the program.

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 five servings of fruit and vegetables every day. After six months, the same 100 people were asked if they ate five servings of fruits and vegetables a day. What is the value of the test statistic?   Six months later “Yes, ate five servings of fruit and vegetables” Six months later “No, did not” Initial Response “Yes, ate five servings” 20 16 Initial Response “No did not” 22 42  

A scientist was interested in determining if the Paleo diet plan worked.  They randomly selected 4 people that were interested in trying a new diet plan. They recorded their initial weights before starting the diet plan. After six weeks, their weight was taken again. How would you check the normality assumptions for this test?     1 2 3 4 Initial weight 170 160 130 200 Weight six weeks later 162 157 124 190