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

Step-by-step 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  :

$p=\dfrac{139}{590}=0.2356$

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

$z=\dfrac{p-P}{\sqrt{\dfrac{P(1-P)}{n}}}$

$\Rightarrow\ z=\dfrac{0.25-0.2356}{\sqrt{\dfrac{0.2356(1-0.2356)}{590}}}\\\\=0.82421500\approx0.8242$

Hence, the value of the test statistic is 0.8242.