Carolyn selected a tile randomly from the set shown below. What is the probability that she selected a white tile or a tile with
1 answer:
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Answer:
The correct option is (e).
Step-by-step explanation:
In this case we need to determine whether there is any difference between the proportion of bats with a wingspan greater than 10 inches living outside the region from that of the bats living in the region.
The hypothesis can be defined as follows:
<em>H₀</em>: There is no difference between the proportion of bats with a wingspan greater than 10 inches living outside the region and of the bats living in the region, i.e. <em>p</em> - <em>p₀</em> = 0.
<em>Hₐ</em>: There is a difference between the proportion of bats with a wingspan greater than 10 inches living outside the region and of the bats living in the region, i.e. <em>p</em> - <em>p₀</em> ≠ 0.
The information provided is:
<em>n</em> = 80
<em>X</em> = 20
<em>p₀</em> = 0.30
A <em>z</em>-test for single proportion will be used to perform the analysis.
Compute the sample proportion of bats living outside of the region having a wingspan greater than 10 inches as follows:
The test statistic is given as follows:
Compute the value of the test statistic as follows:
Thus, the test statistic is .
The correct option is (e).
Let's use the Pythagorean Theorem to solve this.
One side is 10 inches, the other side we don't know, and the hypotenuse is 19 inches. We will call the side we don't know <em>x</em>.
Thus,
One side is 10 inches, the other side we don't know, and the hypotenuse is 19 inches. We will call the side we don't know <em>x</em>.
Thus,