For the following observed and expected frequencies:Observed  9   22   53   9    7Expected  15  20  40  15  10a. Compute the value x square.b. How many degrees of freedom are there?c. Test the hypothesis that the distribution of the observed frequencies is as given by the expected frequencies. Use the a=0.01 level of significance.

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Asked Nov 17, 2019
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For the following observed and expected frequencies:

Observed  9   22   53   9    7

Expected  15  20  40  15  10

a. Compute the value x square.

b. How many degrees of freedom are there?

c. Test the hypothesis that the distribution of the observed frequencies is as given by the expected frequencies. Use the a=0.01 level of significance. 

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Expert Answer

Step 1

Given Data

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Observed 9 Expected 15 22 53 9 7 20 40 15 10

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Step 2

a)

The formula for the chi-square is given below

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-20-ΣΕ) (22 20)2 (53 40)2 (9-15)2 (7 10)2 (9-15)2 X x2 = 10.125 15 20 40 15 10

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Step 3

b)

Degree of freedom is g...

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d. o.f (no of rows 1) x (no of columns 1) (2 1) x (5 1) 1 x 4 4

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