The null hypothesis for a binomial test states that p = 1/5.What is the z-score for X = 29 in a sample of n = 100?
A)z = 0.8
B)z = 1.8
C)z = 2.25
D)z = 0.5625

Question

The null hypothesis for a binomial test states that p = 1/5.What is the z-score for X = 29 in a sample of n = 100?​
A)​z = 0.8
B)​z = 1.8
C)​z = 2.25
D)​z = 0.5625

Quizplus · Accepted Answer

The formula to calculate the z-score for a binomial test is:

z = (X - np) / sqrt(np(1-p))

Where X is the number of successes in the sample, n is the size of the sample, and p is the hypothesized probability of success.

In this case, X = 29, n = 100, and p = 1/5. Therefore:

z = (29 - 100*(1/5)) / sqrt(100*(1/5)*(4/5))
z = 2.25

So, the answer is C) z = 2.25.

The Null Hypothesis for a Binomial Test States That P