Essential Statistics Chapter 161 Review Part III_A_Chi Z-procedure Vs t-procedure.
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Transcript of Essential Statistics Chapter 161 Review Part III_A_Chi Z-procedure Vs t-procedure.
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Essential Statistics Chapter 16 1
Review Part III_A_Chi
Z-procedure Vs t-procedure
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Standard error (SE)
Confidence interval
Essential Statistics Chapter 18 2
n
ppSE
ˆˆ
1
n
ppzp
ˆˆˆ 1
Standard Error & Confidence Interval In Proportions
![Page 3: Essential Statistics Chapter 161 Review Part III_A_Chi Z-procedure Vs t-procedure.](https://reader036.fdocuments.net/reader036/viewer/2022083005/56649f285503460f94c4096f/html5/thumbnails/3.jpg)
Test Statistic for Proportions
Z test statisticH0: p = p0
Single sided
Ha: p > p0
Ha: p < p0
Double sided
Ha: p ≠ p0
Essential Statistics Chapter 18 3
n)p(p
pp̂z
00
0
1
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Essential Statistics Chapter 21 4
To determine if the differences between the observed counts and expected counts are statistically significant (to show a real relationship between the two categorical variables), we use the chi-square statistic:
Chi-Square Statistic
count expected
count expectedcount observed 22X
where the sum is over all cells in the table.
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Essential Statistics Chapter 21 5
The expected count in any cell of a two-way table (when H0 is true) is
Chi-Square Statistic:Expected Counts
total tabletotal) (column total)(row count expected
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Essential Statistics Chapter 21 6
Chi-square test for a two-way table withr rows and c columns uses critical values from a chi-square distribution with(r 1)(c 1) degrees of freedom
P-value is the area to the right of X2 under the density curve of the chi-square distribution– use chi-square table
Degree of Freedom in Chi-Square Tests