A researcher would like to see if there is an association between handedness and

Question

A researcher would like to see if there is an association between handedness and eye preference. A random sample of 150 adult participants was selected. For each participant, the researcher determined two things: 1) whether the person is left-handed or right-handed; and 2) which eye the person prefers to use when looking through a camera viewfinder. The results are shown in the table. The researcher is interested in assessing if there is an association between handedness and eye preference for the population of all such adults. The data were entered into R and the some results were obtained. What is the name of the statistical test being performed by the researcher? Goodness of Fit Test of Homogeneity Test of Independence If there is no association between handedness and eye preference, what is the expected number of left-handed adults who prefer to use their right eye when point looking through a camera viewfinder? 5 13 13.33 20 25 30 The R output provides the results of the chi-square test. Pearson's Chi-squared test data: .Table x-squared = 13.393, df = 1, p-value = 0.0002526 Does there appear to be a statistically significant association between handedness and eye preference for the population of all such adults? (Use a 5% significance level, select your answer, think about the reasoning behind your answer.) Yes No

Explanation / Answer

Given table data is as below

------------------------------------------------------------------
calculation formula for E table matrix

------------------------------------------------------------------
expected frequecies calculated by applying E - table matrix formulae

------------------------------------------------------------------
calculate chisquare test statistic using given observed frequencies, calculated expected frequencies from above

------------------------------------------------------------------
set up null vs alternative as
null, Ho: no relation b/w X and Y OR X and Y are independent
alternative, H1: exists a relation b/w X and Y OR X and Y are dependent
level of significance, = 0.05
from standard normal table, chi square value at right tailed, ^2 /2 =3.8415
since our test is right tailed,reject Ho when ^2 o > 3.8415
we use test statistic ^2 o = (Oi-Ei)^2/Ei
from the table , ^2 o = 13.3928
critical value
the value of |^2 | at los 0.05 with d.f (r-1)(c-1)= ( 2 -1 ) * ( 2 - 1 ) = 1 * 1 = 1 is 3.8415
we got | ^2| =13.3928 & | ^2 | =3.8415
make decision
hence value of | ^2 o | > | ^2 | and here we reject Ho
^2 p_value =0.0003

ANSWERS
---------------
goodness of fit

13.33

null, Ho: no relation b/w X and Y OR X and Y are independent
alternative, H1: exists a relation b/w X and Y OR X and Y are dependent
test statistic: 13.3928
critical value: 3.8415
p-value:0.0003
decision: reject Ho                              

we conclude that significnact association b/w them

col1 col2 20 50 70 5 75 80 25 125 N = 150

Related Questions

Navigate

• Browse (All)
• Browse A
• Subjects

---

---

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.