Unformatted text preview: "Genius without education is like silver in the mine."
Ben Franklin P-Value P value Tests Concerning Proportions
A fraction or percentage that indicates the part of the population or sample having a particular trait of interest. Test for One Proportion = population proportion p = sample proportion Test for Two Proportions Two Proportion Problem
Suppose that a random sample of 1,000 American-born citizens revealed that 198 favored resumption of full diplomatic relations with Cuba. Similarly, 117 of a sample of 500 foreign-born citizens favored it. At the .05 significance level, is there a difference in the proportion of American-born versus foreign-born citizens who favor restoring diplomatic relations with Cuba? Step 1
State the null and alternative hypothesis.
H0: Proportion of American-born = Foreign born H1: Proportion of American-born Foreign-born Step 2
Select a level of significance. This will be given to you. In this problem it is .05. Step 3
Formulate a decision rule.
1.000 - .0500 = .9500 .9500/2 = .4750 = 1.96z Step 4 Part I
Identify the test statistic. PC = 198 + 117 = .21 1000 + 500 Step 4 Part II
Identify the test statistic. Z= .198 - .234 = -1.61z .21(1-.21) + .21(1-.21) 1000 500 Step 5
Arrive at a decision. The test statistic falls in the null hypothesis region, therefore we fail to reject the null. Type I and Type II Errors Type I Error: Rejecting the null hypothesis when H0 is actually true. Type II Error: Accepting the null hypothesis when H0 is actually false. Type I Error Rejecting the null hypothesis when H0 is actually true. Type II Error Accepting the null hypothesis when H0 is actually false. Orchestra Floyd : Cramer. When A Man Loves A Women . The future belongs to those who believe in the beauty of their dreams." Enjoy life, this is not a rehearsal. "Think highly of yourself because the world takes you at your own estimate." "Don't fear pressure for pressure is what turns rough stones into diamonds" Live each day in the present and make it beautiful." "Believe that your life is worth living and your beliefs will help create the fact." Wherever you go, take your whole heart along. "If you love life, life will love you back." ! "Heal the past, live the present, dream the future." "Don't count the days make the days count." "The key to happiness is having dreams... The key to success is making dreams come true." "The world is like a mirror if you face it smiling, it smiles right back." "Happiness is not having what you want. It's wanting what you have." "Learn to listen. Opportunity sometimes knocks very softly."-- "Life would be infinitely happier if we could only be born at the age of eighty and gradually approach eighteen." "Good times, become good memories. Bad times, become good lessons It's not only the scenery you miss by going too fast .. Success is to get what you want , Luck is to keep what you get. "I look to the future because that's where I'm going to spend the rest of my life." "People are lonely because they build walls instead of bridges." Have a nice day! 22 4 ...
View Full Document
- Fall '07
- Null hypothesis, Statistical hypothesis testing, Type I and type II errors, Diplomatic Relations