Download presentation

Presentation is loading. Please wait.

Published byGraham Alman Modified over 4 years ago

1
Difference in Proportions

2
We’re trying out 4 different sugar cookie products. The following intervals are the result of a 95% confidence interval of likeability. Do the intervals provide convincing evidence? Product A: 0.05 to 3.1 Product B: 0 to 4.2 Product C: -0.01 to 0.02 Product D: -2.3 to -2.0 Ye s No

3
H 0 : Hamilton has the same ABILITY to get a hit at home and on the road in the 2010 regular season. H a : Hamilton has a greater ABILITY to get at home than on the road in the 2010 regular season. Test statistic = BA home - BA away = 103/264 – 83/254 = 0.390 – 0.327 = 0.063 Hamilton’s batting average is estimated to be 0.063 greater at home than on the road.

4
Simulation gives a p-value of 0.15 There is a 15% chance that Hamilton’s difference in BA will be at least 0.063 by RANDOM CHANCE. We do not have convincing evidence that Hamilton’s ABILITY to get a hit at home was better than on the road.

5
Hypothesis Test OR Confidence Interval

6
Confidence Interval = center ± margin of error Where P = PERFORMANCE n = # of attempts

7
Remember, BA home = 103/264=0.390 & BA away =83/254=0.327 Confidence Interval Margin of Error Standard Deviation

8
We are 95% confident the interval of plausible values from -0.021 to 0.147 includes the difference in Hamilton’s ABILITY to get a hit at home and on the road.

9
positive possibilities, then the athlete's ABILITY is better in context 1 than context 2. a a 0, then the athlete's ABILITY is the same in both contexts. negative possibilities, then the athlete's ABILITY is worse in context 1 than context 2.

10
(Hamilton’s difference in BA interval is from -0.021 to 0.147 ) We do not have convincing evidence that Hamilton’s ABILITY to get a hit at home was better than getting a hit on the road.

11
If we want to estimate the difference in an athlete's ABILITY in two contexts, we can calculate a confidence interval for a difference in proportions (if the data are categorical). We can decrease the margin of error in a CI by: increasing the sample size decreasing the number of standard deviations (AKA the multiplier)

Similar presentations

OK

12.1 Inference for A Population Proportion. Calculate and analyze a one proportion z-test in order to generalize about an unknown population proportion.

12.1 Inference for A Population Proportion. Calculate and analyze a one proportion z-test in order to generalize about an unknown population proportion.

© 2018 SlidePlayer.com Inc.

All rights reserved.

To make this website work, we log user data and share it with processors. To use this website, you must agree to our Privacy Policy, including cookie policy.

Ads by Google