A researcher is interested in determining if there is a relationship between han
ID: 3262062 • Letter: A
Question
A researcher is interested in determining if there is a relationship between handedness and penmanship. To study this question, the researcher submitted writing samples from 100 students to penmanship experts. The samples were rated to be of low, medium, or high penmanship quality. The observed frequencies of these ratings are shown below. Determine if there is a significant relationship exists between handedness and penmanship quality. Test at =0.05.
Penmanship Quality
Handedness
Low
Medium
High
Left-handed
8
29
6
Right-handed
9
37
11
a. State the null and alternative hypothesis.
b. Indicate the level of significance and determine the critical value
c. Run a Chi-square test – report the test statistic and p-value – then interpret.
d. What can we conclude?
Penmanship Quality
Handedness
Low
Medium
High
Left-handed
8
29
6
Right-handed
9
37
11
Explanation / Answer
a) Ho : there is no significant relationship between handedness and penmanship quality.
Ha there is a significant relationship between handedness and penmanship quality.
b) the level of significance = 0.05
and the critical value = 5.99
c) Test statistic =
p-value = 0.76
d)
since p-value = 0.76 > 0.05
we fail to reject the null hypothesis and conclude that there is not enough evidence to conclude that
there is a significant relationship between handedness and penmanship quality.
c1 c2 c3 sum r1 8 29 6 43 r2 9 37 11 57 sum 17 66 17 100 Eij 1 2 3 expected 1 7.31 28.38 7.31 2 9.69 37.62 9.69 0i 8 29 6 9 37 11 Ei 7.31 28.38 7.31 9.69 37.62 9.69 sum (Oi-Ei)^2/Ei 0.06513 0.013545 0.234761 0.049133 0.010218 0.1771 0.549887Related Questions
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