Take Home FinalO Microsoft Word Take Home Xb Answered: My Drive - Google xG 1) A doctor claims that less th x+→ CO file:///Users/chasejamescanterbury/Dropbox/Online%2021%20Take%20Home%20Final%20Plus%20Alternatives%202%20per%20page.pdf3) Does a parent's education level have anything to do with their involvement at their child'sschool? A random sample of 601 parents of elementary school children were asked about theirown education level and whether they volunteered at their child's school. Here are the results.Education LevelLess than high schoolHigh school graduateSome postsecondaryCollege graduateGraduate/professionalDid Not Volunteer at SchoolVolunteered at School1222712456674555611925At the 0.01 level of significance, test the claim that educational attainment and volunteering atschool are independent.MacBook AirF10

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Asked Dec 12, 2019
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Please answer number 3.

Take Home Final
O Microsoft Word Take Home X
b Answered: My Drive - Google x
G 1) A doctor claims that less th x
+→ CO file:///Users/chasejamescanterbury/Dropbox/Online%2021%20Take%20Home%20Final%20Plus%20Alternatives%202%20per%20page.pdf
3) Does a parent's education level have anything to do with their involvement at their child's
school? A random sample of 601 parents of elementary school children were asked about their
own education level and whether they volunteered at their child's school. Here are the results.
Education Level
Less than high school
High school graduate
Some postsecondary
College graduate
Graduate/professional
Did Not Volunteer at School
Volunteered at School
122
27
124
56
67
45
55
61
19
25
At the 0.01 level of significance, test the claim that educational attainment and volunteering at
school are independent.
MacBook Air
F10
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Take Home Final O Microsoft Word Take Home X b Answered: My Drive - Google x G 1) A doctor claims that less th x +→ CO file:///Users/chasejamescanterbury/Dropbox/Online%2021%20Take%20Home%20Final%20Plus%20Alternatives%202%20per%20page.pdf 3) Does a parent's education level have anything to do with their involvement at their child's school? A random sample of 601 parents of elementary school children were asked about their own education level and whether they volunteered at their child's school. Here are the results. Education Level Less than high school High school graduate Some postsecondary College graduate Graduate/professional Did Not Volunteer at School Volunteered at School 122 27 124 56 67 45 55 61 19 25 At the 0.01 level of significance, test the claim that educational attainment and volunteering at school are independent. MacBook Air F10

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Expert Answer

Step 1

The appropriate Null and Alternative Hypotheses are given below:

 Null hypothesis:

 H0: The educational attainment and volunteering at school are independent.

 Alternative hypothesis:

 Ha: The educational attainment and volunteering at school are dependent.

From the given information,

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Volunteered at school Education level Did not volunteer at school Total Less than high school High school graduate Some postsecondary College graduate Graduate/professional Total 149 27 122 56 124 180 45 112 67 61 55 116 25 19 44 601 214 387

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Step 2

The test statistic value is ­45.69 and it is obtained below:

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Expectedvalue (E.) (0,-E.) Observed value (0,) Row total x Column total Total frequency 149x214 53.06 = 27 12.80 601 180 x 214 64.09 : 56 1.02 601 112x214 39.88 = 45 0.66 601 116x 214 41.31 = 61 9.38 601 44x214 15.67 25 5.56 601 149x387 122 95.95 = 7.07 601 180x387 115.91 = 124 0.56 601 112x387 67 72.12 = 0.36 601 116x387 74.69 = 55 5.19 601 44x387 28.33 = 3.07 19 601 z? = 45.69 Total

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Step 3

The p-value is 0.0000 and it is calculated below:

 The degrees of freedom is (number of rows-1)(number of columns-1)=(5-1)(2-1)=4.

p-value=0.0000 by Excel function “=CHISQ.DIST.RT(45.6819,4)

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