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:
The correct answer is option 'a' : 120 is more than 2.5 standard deviations above the expected value.
Step-by-step explanation:
For an exponential distribution we have
The expected value μ = 80
No of trails n = 200
Thus we have

The deviation is related to expected value and probability as

Thus the values between the given deviation is

Now since 120 successes are out of the range of [62.75,97.25] thus 120 is more than the expected value.
Answer:
<em>The translation corresponds to a translation of 13 units to the right</em>
Step-by-step explanation:
<u>Translation of a Graph</u>
If the graph of
y=f(x) is translated a units horizontally, then the equation of the translated graph is
y =f(x - a)
The value of a is considered positive for translations to the right.
The parent function is
y = x
and the given function is
y = x - 13
The translation corresponds to a translation of 13 units to the right
You can use the properties of logarithm to get to the solution.
The approximate value for given term is given by

<h3>What is logarithm and some of its useful properties?</h3>
When you raise a number with an exponent, there comes a result.
Lets say you get

Then, you can write 'b' in terms of 'a' and 'c' using logarithm as follows

Some properties of logarithm are:

<h3>Using the above properties</h3>

Thus,
The approximate value for given term is given by

Learn more about logarithm here:
brainly.com/question/20835449
Answer:
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