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 or vegetables a day. After six months, the same 100 people were asked if they ate five servings of fruit or vegetables a day.   Six months later “Yes, ate 5 servings” Six months later “No, did not eat five servings” Initial Response “Yes, ate five servings” 20 50 Initial Response “No did not eat five servings” 17 13  What is the sample proportion that did NOT eat 5 servings initially?

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 95% confidence interval for the population mean difference?

The General Social Survey asked 612 men (group 1) and 292 women(group 2) if they have been too exhausted from housework to do a good job at work. The 99% confidence interval for

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.   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   What is the sample proportion of people who responded “Yes, they ate whole grains” initially?

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” 22 15 Initial Response “No did not” 46 17

An informed home owner wants to test samples of water in their home to ensure that the average amount of mercury is less than 2 ppb. What would be the appropriate alternative hypothesis?

Researchers were trying to determine if a connection could be made between whether choice of musical instruments and gender. They want to see whether more men (m) play the flute than women (f). What would be the correct alternative hypothesis?

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

A nutritionist was interested in determining if participating in a weight loss program could reduce someone’s cholesterol levels. She had 4 participants participate in a medical diet plan. She recorded their cholesterol level at the beginning of the program and at the end of the program. Find the 95% confidence interval for the population mean change in cholesterol level. 1 2 3 4 before 220 250 210 220 after 210 225 210 240  

An instructor was interested in studying students satisfactory solving of a math problem. The students were given a math problem to solve before and after instruction. Each time, the student was given either a “S” for satisfactory completion or “U” for unsatisfactory completion. Two hundred randomly selected students were involved in the study. “S” after instruction “U” after instruction “S” before instruction 99 14 “U” before instruction 12 75  Besides random sampling and categorical data, what other assumption needs to be met? Is it met?