a. A researcher is interested in determining if there is a relationship between handedness and penmanship.  To study this question, the researcher submitted samples from 100 students to penmanship experts.  The samples were rated to be of low, medium or high penmanship quality.  The observed frequencies were totaled according to left verses right handedness.   Penmanship Handedness low medium high Left 8 29 6 right 9 37 11 Which test is appropriate for this data?  ANOVA F-test two sample z-test chi-square test two sample t-test one sample t-test one sample z-test   b. What is the difference between a Type I and Type II error? c. What is the main idea behind conducting the Chi-square test?

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a. A researcher is interested in determining if there is a relationship between handedness and penmanship.  To study this question, the researcher submitted samples from 100 students to penmanship experts.  The samples were rated to be of low, medium or high penmanship quality.  The observed frequencies were totaled according to left verses right handedness.

 

Penmanship

Handedness

low

medium

high

Left

8

29

6

right

9

37

11

Which test is appropriate for this data? 

ANOVA F-test
two sample z-test
chi-square test
two sample t-test
one sample t-test
one sample z-test

 

b. What is the difference between a Type I and Type II error?

c. What is the main idea behind conducting the Chi-square test?

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