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 540 peas with 159 of them having
yellow pods. Find the value of the test statistic.
The value of the test statistic is (Round to two decimal places as needed.)

Answer 1

Answer:

2.361

Explanation:

Calculation to Find the value of the test statistic

Based on the given information let our:

p=0.25

x = 159

n = 540

Since our p is 0.25 the first step is to find q using this formula

q = 1 - p

Let plug in the formula

q = 1-0.25

q= 0.75

Second step is to find the psample using this formula

psample= x/n

Let plug in the formula

psample= 159/540

psample = 0.294

Last step is to find the value of the test statistic

Using this formula

z= (psample - p) / √(pq/n)

Let plug in the formula

z = (0.294 - 0.25) / √(0.25×0.75/540)

z=0.044/√(0.1875/540)

z=0.044/√(0.000347222222)

z=0.044/0.01863389

z=2.361

Therefore the value of the test statistic will be 2.361