Using the z-distribution, the 90% confidence interval for the difference of proportions is given by: (-0.0534, 0.0434).
<h3>What is the mean and the standard error for the distribution of differences?</h3>
For each sample, the mean and the standard error are given as follows:
- .
- .
For the distribution of differences, they are given by:
- .
<h3>What is the confidence interval?</h3>
The interval is given by:
In this problem, we have a 90% confidence level, hence, z is the value of Z that has a p-value of , so the critical value is z = 1.645.
Hence the bounds of the interval are:
More can be learned about the z-distribution at brainly.com/question/25890103
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The last 8 in .088 of that help at all
Substitute and . Then the integral transforms to
Apply the power rule.
Now put the result back in terms of .
From the given figure, it can be seen that 13x = 15x - 8 because they are vertical angles and thus are equal.
13x = 15x - 8
15x - 13x = 8
2x = 8
x = 8/2 = 4
Thus, 15x - 8 = 15(4) - 8 = 60 - 8 = 52.
RT is a diameter, which means that mRT = 180
mRV + mVU + 52 = 180
mRV + mVU = 180 - 52 = 128
Now, given that mRV = mVU,
Thus, 2mVU = 128
Therefore, mVU = 128 / 2 = 64°