41) The table lists the sugar content of two types of apples from three different orchards. Ata 0.05, test the claim that the sugar content of the apples and the orchard where they41)1were grown are not related.Sugar ContentApple Type 1Orchard 1Orchard 2Orchard 343731Apple Type 2A) There is not evidence to reject the claim that the sugar content of the apple type and19the orchard number are not related because the test value 1.375< 12.592B) There is evidence to reject the claim that the sugar content of the apple type and theorchard number are not related because the test value 5.991 > 2.625C There is evidence to reject the claim that the sugar content of the apple type and theorchard number are not related because the test value 12.592 > 1.375D) There is not evidence to reject the claim that the sugar content of the apple type andthe orchard number are not related because the test value 2.625 < 5.99 1

Question
Asked Dec 2, 2019
41) The table lists the sugar content of two types of apples from three different orchards. At
a 0.05, test the claim that the sugar content of the apples and the orchard where they
41)
1
were grown are not related.
Sugar Content
Apple Type 1
Orchard 1
Orchard 2
Orchard 3
4
3
7
31
Apple Type 2
A) There is not evidence to reject the claim that the sugar content of the apple type and
19
the orchard number are not related because the test value 1.375< 12.592
B) There is evidence to reject the claim that the sugar content of the apple type and the
orchard number are not related because the test value 5.991 > 2.625
C There is evidence to reject the claim that the sugar content of the apple type and the
orchard number are not related because the test value 12.592 > 1.375
D) There is not evidence to reject the claim that the sugar content of the apple type and
the orchard number are not related because the test value 2.625 < 5.99 1
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41) The table lists the sugar content of two types of apples from three different orchards. At a 0.05, test the claim that the sugar content of the apples and the orchard where they 41) 1 were grown are not related. Sugar Content Apple Type 1 Orchard 1 Orchard 2 Orchard 3 4 3 7 31 Apple Type 2 A) There is not evidence to reject the claim that the sugar content of the apple type and 19 the orchard number are not related because the test value 1.375< 12.592 B) There is evidence to reject the claim that the sugar content of the apple type and the orchard number are not related because the test value 5.991 > 2.625 C There is evidence to reject the claim that the sugar content of the apple type and the orchard number are not related because the test value 12.592 > 1.375 D) There is not evidence to reject the claim that the sugar content of the apple type and the orchard number are not related because the test value 2.625 < 5.99 1

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Expert Answer

Step 1

The null and alternative hypotheses are

H0: Sugar content of the apple type and the orchard number are not related.

H1: Sugar content of the apple type and the orchard number are related.

Step 2

The formula of the chi-square test statistic is,

Χ-ΣΟΕ
E
Here, O represents the observed frequency and E represents the expected
frequency
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Χ-ΣΟΕ E Here, O represents the observed frequency and E represents the expected frequency

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Step 3

The expected frequency (E) of the data that has been represented in the form of a conti...

Row total x Column total
E =
Grand total
14x35
14x12
14x26
6.71, E(3)
73
E(4)=
E(7) =
-= 2.30,
73
= 4.99,
73
59 x 35
59 x 12
59 x 26
=28.29, E(9)=
73
E(31)
= 9.70
73
E(19)
=21.01
73
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Row total x Column total E = Grand total 14x35 14x12 14x26 6.71, E(3) 73 E(4)= E(7) = -= 2.30, 73 = 4.99, 73 59 x 35 59 x 12 59 x 26 =28.29, E(9)= 73 E(31) = 9.70 73 E(19) =21.01 73

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Hypothesis Testing

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