6. LIBRARY FINES Explain how to find the
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).
