MATH SOLVE

3 months ago

Q:
# The claim is that the proportion of peas with yellow pods is equal to 0.25β (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.

Accepted Solution

A:

Answer: 0.8242Step-by-step explanation:Claim : The proportion of peas with yellow pods is equal to 0.25βi.e. [tex]p=0.25[/tex]Sample size : Β 590Proportion of peas with yellow pods in sample Β : [tex]p=\dfrac{139}{590}=0.2356[/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{0.25-0.2356}{\sqrt{\dfrac{0.2356(1-0.2356)}{590}}}\\\\=0.82421500\approx0.8242[/tex]Hence, the value of the test statistic is 0.8242.