Question

Consider the following observed frequencies. Calculate the expected frequency for each observed freque Population Yes No 10 22 16 26 18 8 Calculate the expected frequency for each observed frequency Expected Frequency Expected Frequency Population of Yes of No Round to two decimal places as needed.)

Answer 1

SOLUTION:

From given data,

Consider the following observed frequencies.Calculate the expected frequency for each observed frequency.

observed frequency table is

Population	Yes	No	Total
A	10	22	32
B	16	26	42
C	18	8	26
Total	44	56	100

We calculate expected frequencies by : E = ( Row total * Column total ) / Grand total

Expected frequency of yes

For A and yes,

observed frequency = 10

E = ( 32 * 44 ) / 100 = 14.08

For B and yes,

observed frequency = 16

E = ( 42 * 44 ) / 100 = 18.48

For C and yes,

observed frequency = 18

E = ( 26 * 44 ) / 100 = 11.44

Expected frequency of No

For A and No,

observed frequency = 22

E = ( 32 * 56) / 100 = 17.92

For B and No,

observed frequency = 26

E = ( 42 * 56 ) / 100 = 23.52

For C and yes,

observed frequency = 8

E = ( 26 * 56 ) / 100 = 14.56

Expected frequency table is

Population	Exp.fre.of yes	Exp.fre.of no	Total
A	14.08	17.92	32
B	18.48	23.52	42
C	11.44	14.56	26
Total	44	56	100

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