Math Studies II 10/18/10

Bellringer: Enter data on page 599 problem number 3.
Low Average High Very high
No success 35 30 41 25
Low Success 28 41 26 29
Success 35 24 41 56
High Success 52 38 63 72

What is the expected value for Average Intelligence Success?
How is it found?

Agenda:
I. Bellringer
II. Writing a formal hypothesis
III. Introduction Questions

Objective:
Students will write and analyze a formal hypothesis.

Bellringer answer/Notes:

32.62 is the expected value for Average Intelligence Success.

[35 30 41 25 ]
[28 41 26 29 ]
[35 24 41 56] =156
[52 38 63 72]
Sum of column 2= 133 Total: 636
ΣR3 ● C2 = ΣC2 ● ΣR3 divded by Σ All students

[Expected value=32.62]

Chi-squared= 25.56
P= 0
Degrees of Freedom= 9
P value= Similar to standard deviation
Look on Page 596 in Math Studies book to learn how to calculate P value.
Page 594 shows you how to write your hypothesis.
Null Hypothesis (H0)= Intelligence level and business success are independent.
Alternative Hypothesis (H1)= Intelligence level and business success are NOT independent.

Cannot say dependent!

Example: Not guilty in a court of law is not the same as innocent because not guilty just means they weren’t found guilty (no evidence found) not that they’re innocent.

Because Chi-squared is less than 21.679 I can say with 99.9% confidence I can reject H0 in favor H1 and say that Intelligence level and business success are not independent.

Question of the Day: When finding the expected value of a data set in my TI-83 calculator where do I insert the data points?