Answer:
The value of the standardized z-test statistic is 0.338.
Step-by-step explanation:
We are given the following hypothesis below;
Null Hypothesis,
:
Alternate Hypothesis,
:
The test statistics that will be used here is <u>Two-sample z-test statistics</u> for proportions;
T.S. =
~ N(0,1)
where,
= sample proportion of the first sample =
=
= 0.70
= sample proportion of the second sample =
=
= 0.67
= size of the first sample = 50
= size of the first sample = 60
So, <u><em>the test statistics</em></u> = ![\frac{(0.70-0.67)-(0)}{\sqrt{\frac{0.70(1-0.70)}{50}+\frac{0.67(1-0.67)}{60}} }](https://tex.z-dn.net/?f=%5Cfrac%7B%280.70-0.67%29-%280%29%7D%7B%5Csqrt%7B%5Cfrac%7B0.70%281-0.70%29%7D%7B50%7D%2B%5Cfrac%7B0.67%281-0.67%29%7D%7B60%7D%7D%20%7D)
= 0.338
Hence, the value of the standardized z-test statistic is 0.338.