A political scientist is interested in studying how Americans feel about having a female American president. He asks 100 males(1) and 100 females(2) if they would vote for a women president. Is there a significant difference in how women and men would vote? What would be the correct alternative hypothesis?

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?

In 2000, the General Social Survey asked participants if they had looked up information about a political campaign on the internet. Out of 123 men, 49 said yes. Out of 120 women, 65 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?

For the hypothesis statements, Ho:p1-p2=0 versus Ha:p1-p2 > 0 if the TS equals 2.3, what is the p-value?  

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 1.0. What does this mean?

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” 20 16 Initial Response “No did not” 22 42  

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 2010 and 2012, Gallup asked the same 50 people how many hours had they worked at a job in the past 7 days. Is there a difference in the population mean amount of hours worked at a job between 2010 and 2012? Would this be an example of independent or dependent samples?

An informed college student wants to test samples of water in water fountains on campus to ensure that the average amount of lead is less than 15 ppb. What would be the appropriate alternative hypothesis?