Using the z-distribution, it is found that since the p-value of the test is less than 0.01, there is enough evidence to conclude that survival rates are different for day and night.
<h3>What are the hypothesis tested?</h3>At the null hypothesis, it is tested if the proportions are the same, that is, the subtraction of them is 0, hence:
At the alternative hypothesis, it is tested if the proportions are different, that is:
For each sample, they are given as follows:
Hence, for the distribution of differences, they are given by:
.
The test statistic is given by:
In which p = 0 is the value tested at the null hypothesis.
Hence:
z = 0.2611/0.0035
z = 74.6.
<h3>What is the p-value of the test?</h3>Using a z-distribution calculator, with z = 74.6, with a two-tailed test, as we are testing if the proportion is different of a value, the p-value is of 0.
Since the p-value of the test is less than 0.01, there is enough evidence to conclude that survival rates are different for day and night.
More can be learned about the z-distribution at brainly.com/question/13873630
#SPJ1
