11.2 chi-square: goodness of fit. does the current distribution fit a past distribution? h o : the...

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11.2 – Chi-Square: Goodness of Fit Hypotheses H o : The population fits the given distribution H 1 : The population has a different distribution Computing sample X2 for Goodness-of-Fit Test with d.f. = k – 1 • where k is number of categories in the distribution

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To test this hypothesis, we will be taking a random sample of 500 employees and comparing the percentages with last years. α =.01

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Page 1: 11.2  Chi-Square: Goodness of Fit. Does the current distribution fit a past distribution? H o : The percentage distribution for job incentives is

11.2 – Chi-Square: Goodness of Fit

HypothesesHo : The population fits the given distributionH1 : The population has a different distribution

Computing sample X2 for Goodness-of-Fit Test

with d.f. = k – 1 • where k is number of categories in the distribution

Page 2: 11.2  Chi-Square: Goodness of Fit. Does the current distribution fit a past distribution? H o : The percentage distribution for job incentives is

"Does the current distribution "fit" a past distribution?"

Ho: The percentage distribution for job incentives is the same as last year's.

H1: The percentage distribution is different.

Page 3: 11.2  Chi-Square: Goodness of Fit. Does the current distribution fit a past distribution? H o : The percentage distribution for job incentives is

To test this hypothesis, we will be taking a random sample of 500

employees and comparing the percentages with last years. α = .01

Page 4: 11.2  Chi-Square: Goodness of Fit. Does the current distribution fit a past distribution? H o : The percentage distribution for job incentives is

How to Test for Independence of Two Statistical Variables

Same as before…1. Null Hypothesis, alternative hypothesis, level

of significance2. X2

3. P-value 4. Reject or not reject null hypothesis5. Conclude using context.

Page 5: 11.2  Chi-Square: Goodness of Fit. Does the current distribution fit a past distribution? H o : The percentage distribution for job incentives is

Checkpoint

Prescott will lose tonight and Friday Night!

Page 6: 11.2  Chi-Square: Goodness of Fit. Does the current distribution fit a past distribution? H o : The percentage distribution for job incentives is

Homework

• Read Pages 484-490– Take notes on what we have not covered

• Do Problems – Page 490-493 (1-10) ODD

• Check odds in back of book

• Read and preload 11.3 information– Notes/vocab