Question

QUESTION 11

Answer 1

Answer:

Option D

Neither gene is significantly different

Explanation:

Tan Spore gene

Cross-over

Observed=189

Expected=177

Observed-Expected=189-177=12

Standard deviation, $s=12^{2}/177= 0.813559$

Non-cross-over

Cross-over

Observed=139

Expected=151

Observed-Expected=139-151=-12

Standard deviation, $s=-12^{2}/151= 0.953642$

Chi-square value=0.813559+0.953642=1.767202

Rounding off to three decimal places, chi-square value is 1.767

Gray Spore Gene

Cross-over

Observed=204

Expected=216

Observed-Expected=204-216=12

Standard deviation, $s=12^{2}/216= 0.666667$

Non-cross-over

Cross-over

Observed=124

Expected=112

Observed-Expected=124-112=12

Standard deviation, $s=12^{2}/112= 1.285714$

Chi-square value=0.666667+1.285714=1.952381

Rounding off to three decimal places, chi-square value is 1.952

Degree of freedom=n-1 where n is sample size, the sample size here are 2 hence degree of freedom is 2-1=1

From chi-square table, when degree of freedom is 1, chi-square value is 3.841

Since for both genes, the chi-square values are less than 3.841 then we should accept that data since it’s not significantly different