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?

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

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” 17 18 Initial Response “No did not” 46 19

Suppose that a doctor wants to determine if a new exercise plan helps lower participants’ blood pressure levels. The blood pressure level for each participant is recorded for each participant before beginning the program. Each of the participants then participates in the new exercise plan for 6 weeks. Then blood pressure is then taken again. Let mu_d = the average blood pressure before – average blood pressure after. What is the correct alternative hypothesis?

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