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 520 peas with 140 of them having yellow pods. Find the value of the test statistic.

Answer 1

Answer:

Test statistic = z = 1.01264

Step-by-step explanation:

p = 0.25

q = 1 - p = 0.75

n = 520

x = 140

$psample = \frac{x}{n} = \frac{140}{520} = 0.26923$

$z = \frac{psample - p}{\sqrt{\frac{p*q}{n} } } =\frac{0.26923 - 0.25}{\sqrt{\frac{0.25 * 0.75 }{520} } } = \frac{0.01923}{\sqrt{\frac{0.1875}{520} } } = \frac{0.01923}{\ 0.01899} = 1.01264$