Answer:
We would expect about 95 of the 100 confidence intervals to contain the proportion of all citizens of the United States who are optimistic about the economy.
Step-by-step explanation:
The purpose of sampling is to make statistical inference the entire population of interest. Thus, we generalized to the entire population the findings from the sample.
For instance, we don't need to drink entire cup of coffee to know whether the sugar is enough or not. We only need to stir (randomly) and take a sip from the cup of coffee. We usually assume that, if the content we sipped is satisfactory to our taste, the entire content of coffee inside the cup is satisfactory. Using this illustration, we would expect that the findings of the survey should be generalized to the entire population of study.
Thus, <em>we would expect about 95 of the 100 confidence intervals to contain the proportion of all citizens of the United States who are optimistic about the economy</em>.
We can find this using the formula for arc length (where is the radius of the circle and is the central angle in radians):
In our problem, we are given . This means that:
The measure of the angle is 1.5.
I can help with B, but parts A and C are for you to come up with on your own. Anyways, to rewrite the equation with multiplication, the problem is asking you to change the division into a fraction. Anytime you divide a fraction, you need to flip the numerator (the top number) and the denominator (the bottom one), and change the divide sign into a multiplication one. So the equation would look like.
I think it’s c but I could be wrong
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