Question

When pink sweet peas were self-pollinated and the sceds were collected and sown, the following flower colors were obtained
Red 34
Pink 76
White 40
Use a chi-squared test to determine whether these results are consistent with the hypothesis that pink flowers are heterozygous for a single pair we predict for our null hypothesis?
A. 9:3:4
B. 3:1:0
C. 1:2:1
D. 1:4:1

Answer 1

The proportions 1:2:1 are consistent with thenull hypothesis that the pink flowers are heterozygous for a single pair.

Option C

Explanation:

Chi square test is used to

(i)  Find significant difference in two or more than two proportions

(ii) The goodness of fit between the observed and expected frequency.                     $X^{2}=\frac{\sum(O-E)^{2}}{E}$

$X^{2}=\left[\frac{(34-37.5)^{2}}{37.5}\right]+\left[\frac{(76-75)^{2}}{75}\right]+\left[\frac{(40-37.5)^{2}}{37.5}\right]$

= 0.3266 + 0.0133 + 0.1666 = 0.506

5%  Critical value = 5.991

Degree of freedom = 2