This is really confusing me please give some guidance or exa

This is really confusing me, please give some guidance or examples

A population of wild-flowers was scored for flower color. There were 409 blue (BB) plants, 1651 violet (BR) plants and 745 red (RR) plants.

A chi-square test was conducted to test the hypothesis that the population genotypic frequencies are consistent with Hardy-Weinberg equilibrium frequencies.

Fill in the spaces below with the expected numbers for each phenotypic (genotypic) class in the chi-square test.

1. What is the expected number of blue (BB) plants?

2. What is the expected number of violet (BR) plants? Please round your answer correctly to 4 decimal digits.

3. What is the expected number of red(RR) plants? Please round your answer correctly to 4 decimal digits.

4. Keeping all decimal digits during your calculations and rounding your answer to 3 decimal digits, what is the calculated chi-square value?

Solution

Null hypothesis: The observed values are not deviating from the expected ratio.

Category

BB

BR

RR

Total

Observed values

409

1651

745

2805

Exptected Ratio

1

2

1

4

Exprected Values

701.25

1402.5

701.25

Deviation

-292.25

248.5

43.75

D^2

85410.06

61752.25

1914.063

D^2/E

121.7969

44.03012

2.729501

168.5565

X^2

168.5565

Degrees of freedom

3

-

1

2

Inference: The calculated X2 values is greater than the table value i.e. 5.99 at 2 Df and 0.05 probability. Hence null hypothesis rejected.

1. What is the expected number of blue (BB) plants? 701.2

2. What is the expected number of violet (BR) plants? 1402.5

3. What is the expected number of red(RR) plants? 701.2

4. Keeping all decimal digits during your calculations and rounding your answer to 3 decimal digits, what is the calculated chi-square value? 168

Category	BB	BR	RR	Total
Observed values	409	1651	745	2805
Exptected Ratio	1	2	1	4
Exprected Values	701.25	1402.5	701.25
Deviation	-292.25	248.5	43.75
D^2	85410.06	61752.25	1914.063
D^2/E	121.7969	44.03012	2.729501	168.5565
X^2	168.5565
Degrees of freedom	3	-	1	2