120Source: The Harper's Index Book1224. Participation in Market Research Survey An ad-vertising firm has decided to ask 92 customers at eachof three local shopping malls if they are willing to takepart in a market research survey. According to previousstudies, 38% of Americans refuse to takesurveys. The results are shown here. At a= 0.01, testthe claim that the proportions of those who are willingto participate are5ctivenessof randomlyfpartin suchofcherof theequal.Mall AMall BMall CtiveWill participateWill not participate524536404756Total929292enationalSource: The Harper's Index Book.2.2%section).ee largeof birth.25. Athletic Status and Meat Preference A study wasdone using a sample of 60 college athletes and 60 collegestudents who were not athletes. They were asked their

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Asked Nov 25, 2019
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Question 24 has me confused 

120
Source: The Harper's Index Book
12
24. Participation in Market Research Survey An ad-
vertising firm has decided to ask 92 customers at each
of three local shopping malls if they are willing to take
part in a market research survey. According to previous
studies, 38% of Americans refuse to take
surveys. The results are shown here. At a= 0.01, test
the claim that the proportions of those who are willing
to participate are
5
ctiveness
of randomly
f
part
in such
of
cher
of the
equal.
Mall A
Mall B
Mall C
tive
Will participate
Will not participate
52
45
36
40
47
56
Total
92
92
92
enational
Source: The Harper's Index Book.
2.2%
section).
ee large
of birth.
25. Athletic Status and Meat Preference A study was
done using a sample of 60 college athletes and 60 college
students who were not athletes. They were asked their
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120 Source: The Harper's Index Book 12 24. Participation in Market Research Survey An ad- vertising firm has decided to ask 92 customers at each of three local shopping malls if they are willing to take part in a market research survey. According to previous studies, 38% of Americans refuse to take surveys. The results are shown here. At a= 0.01, test the claim that the proportions of those who are willing to participate are 5 ctiveness of randomly f part in such of cher of the equal. Mall A Mall B Mall C tive Will participate Will not participate 52 45 36 40 47 56 Total 92 92 92 enational Source: The Harper's Index Book. 2.2% section). ee large of birth. 25. Athletic Status and Meat Preference A study was done using a sample of 60 college athletes and 60 college students who were not athletes. They were asked their

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Step 1

The null and the alternative hypotheses are;

Null hypothesis: All the proportion are equal, that is, they are independent.

Alternative hypothesis: At least one of the proportion is different, that is, they are not independent.

The observed frequencies are given as:

Mall A Mall B Mall C Total
Will participate
52
45
36
133
Will not participate 40
47
56
143
Total
92
92
92
276
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Mall A Mall B Mall C Total Will participate 52 45 36 133 Will not participate 40 47 56 143 Total 92 92 92 276

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Step 2

The expected frequencies are obtained as:

Mall C
Mall A
Mall B
Tota
Will
92x133
92x133
92x133
133
=44.33
=44.33
=44.33
participat
276
276
276
Will not
92x 143
143
= 47.67
92x143
92x143
=47.67
= 47.67
participat
276
276
276
92
Total
92
92
276
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Mall C Mall A Mall B Tota Will 92x133 92x133 92x133 133 =44.33 =44.33 =44.33 participat 276 276 276 Will not 92x 143 143 = 47.67 92x143 92x143 =47.67 = 47.67 participat 276 276 276 92 Total 92 92 276

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Step 3

The chi-square test statisti...

z=(0-E
(52-44.33) (40-47.67)
E
(56-47.67)
+
44.33
47.67
47.67
= 5.6016
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z=(0-E (52-44.33) (40-47.67) E (56-47.67) + 44.33 47.67 47.67 = 5.6016

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