Q:

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 460 peas with 91 of them having yellow pods. Find the value of the test statistic. The value of the test statistic is nothing. ​(Round to two decimal places as​ needed.)

Accepted Solution

A:
Answer: 2.68Step-by-step explanation:Claim : The proportion of peas with yellow pods is equal to 0.25​i.e. p=0.25Sample size : [tex]460[/tex]Proportion of peas with yellow pods in sample  : [tex]P=\dfrac{91}{460}=0.19782608695\approx0.20[/tex]Now, the test statistic for the population proportion is given by :-[tex]z=\dfrac{p-P}{\sqrt{\dfrac{P(1-P)}{n}}}[/tex][tex]\Rightarrow\ z=\dfrac{0.25-0.20}{\sqrt{\dfrac{0.20(1-0.20)}{460}}}\Rightarrow\ z=2.68095132369\approx2.68[/tex]Hence, the value of the test statistic is 2.68