Question

in a random sample of 200 ​items, 42 are defective. if the null hypothesis is that 23% of the items in the population are​ defective, what is the value of zstat​?

Answer 1

The value of z-stat is -0.6721.

What is z stat?

The relationship between a value and the mean of a group of values is quantified by a Z-stat. The Z-stat is calculated using standard deviations from the mean. When a data point's Z-stat is 0, it means that it has the same score as the mean.

One standard deviation from the mean would be indicated by a Z-stat of 1.0. Z-stats can be positive or negative; a positive value means the score is above the mean, while a negative value means it is below the mean.

Solution Explained:

We use the formula,

$z = \frac{P - \pi }{\sqrt{\frac{\pi (1-\pi )}{200} }}$, where P is the observed proportion, π is the hypothesized proportion

Therefore, P = 42/200 = 0.21 & π = 23/100 = 0.23

Putting the values in

$z = \frac{0.21 - 0.23 }{\sqrt{\frac{0.23 (1-0.23)}{200} }}$

After calculating, z-stat is therefore equal to -0.6721

To learn more about z-stat, use the link given
https://brainly.com/question/28000192
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