TEST OF GOODNESS OF FIT

TEST OF GOODNESS OF FIT


C
Asked by 2 years ago
10 million points

1) The offspring of a certain cross gave the following colors, red, black or white in the ratio $9$:$3$;$4$. If the experiment gave $74$, $32$ and $38$ offsprings in the categories respectively, can the theory be substantiated?

TEST OF
chegendungu

1 Answer

C
Answered by 2 years ago
10 million points
- - - -
RED BLACK WHITE TOTAL
72 32 38 144
9 3 4 16

The expected frequencies are calculated as follows:

Red: $(9/16)144=54$

Black: $(3/16)144=27$

White: $(4/16)144=36$

$$\tilde{\chi}^2 = \frac{(74 – 54)^2}{54}+\frac{(32 – 27)^2}{27}+\frac{(38 – 36)^2}{36} = 8.45$$\

$$\tilde{\chi}^2 = 8.45$$\

The D.F $$n – 1$$ $$3-1$$ $$=2$$

The calculated $\tilde{\chi}^2$ of $8.45$ is greater than the table $\tilde{\chi}^2$ value of $5.99$ at $\alpha = 0.05$ and d.f $2$.

Therefore, we conclude that the number of offsprings in the $3$ colors are not compatible with the given ratios. i.e we reject the null hypothesis.

Your Answer

Surround your text in *italics* or **bold**, to write a math equation use, for example, $x^2+2x+1=0$ or $$\beta^2-1=0$$

Use LaTeX to type formulas and markdown to format text. See example.

Sign up or Log in

  • Answer the question above my logging into the following networks
Sign in
Sign in
Sign in

Post as a guest

  • Your email will not be shared or posted anywhere on our site
  •  

Stats
Views: 15
Asked: 2 years ago

Related