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Answer:
C. z = 2.05
Step-by-step explanation:
We have to calculate the test statistic for a test for the diference between proportions.
The sample 1 (year 1995), of size n1=4276 has a proportion of p1=0.384.

The sample 2 (year 2010), of size n2=3908 has a proportion of p2=0.3621.

The difference between proportions is (p1-p2)=0.0219.
The pooled proportion, needed to calculate the standard error, is:

The estimated standard error of the difference between means is computed using the formula:

Then, we can calculate the z-statistic as:

z=2.05
Answer:
a. 28.8
Step-by-step explanation:
Using the theorem of similarity, the following equation can be generated:

Solve for x

Cross multiply


Divide both sides by 25
x = 28.8
From the table, the experimental Probability of rolling a 1 = 28/200 = 7/50
So for 25 rolls we would expect 7 * 25 / 50 = 3.5
answer: 4 times