Question

The claim is that the proportion of peas with yellow pods is equal to 0.25​ (or 25%). The sample statistics from one experiment include 590 peas with 139 of them having yellow pods. Find the value of the test statistic.

Answer 1

Answer: 0.8242

Explanation:

Claim : The proportion of peas with yellow pods is equal to 0.25​

i.e.
`p=0.25`

Sample size : 590

Proportion of peas with yellow pods in sample :

`p=(139)/(590)=0.2356`

Now, the test statistic for the population proportion is given by :-

`z=\frac{p-P}{\sqrt{(P(1-P))/(n)}}`

`\Rightarrow\ z=\frac{0.25-0.2356}{\sqrt{(0.2356(1-0.2356))/(590)}}\\\\=0.82421500\approx0.8242`

Hence, the value of the test statistic is 0.8242.