SOLUTION: 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 430peas with 114 of them having yellow

Algebra ->  Probability-and-statistics -> SOLUTION: 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 430peas with 114 of them having yellow      Log On


   



Question 1061531: 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 430peas with 114 of them having yellow pods. Find the value of the test statistic.
I've been working on this for days, could please give me a detailed response!

Answer by MathTherapy(10555) About Me  (Show Source):
You can put this solution on YOUR website!

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 430peas with 114 of them having yellow pods. Find the value of the test statistic.
I've been working on this for days, could please give me a detailed response!
From what you presented, you need to use the folowing formula to determine the Z-test statistic: %28%28p-hat%29+-+p%29%2Fsqrt%28pq%2Fn%29, with:
x = 114
n = 430
p-hat, or p̂ = matrix%281%2C5%2C+x%2Fn%2C+or%2C+114%2F430%2C+%22=%22%2C+.265116%29
p, or Ho = .25
q = 1 - p, or 1 - .25 = .75
Z-test statistic formula: %28%28p-hat%29+-+p%29%2Fsqrt%28pq%2Fn%29 now becomes:

I'm sure you know what to do now that you have the Z-test statistic.