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Using the z-distribution, as we are working with a proportion, it is found that there is enough evidence to conclude that the proportion is different of 50%.
<h3>What are the hypothesis tested?</h3>At the null hypothesis, it is tested if the proportion is of 0.5, that is:
At the alternative hypothesis, it is tested if the proportion is different of 0.5, that is:
.
The test statistic is given by:
In which:
is the sample proportion.
- p is the proportion tested at the null hypothesis.
- n is the sample size.
In this problem, the parameters are:
Then, the value of the test statistic is as follows:
Considering a <em>two-tailed test</em>, as we are testing if the proportion is different of a value, with a <em>significance level of 0.05</em>, the critical value is of .
Since the absolute value of the test statistic is greater than the critical value for the two-tailed test, it is found that there is enough evidence to conclude that the proportion of participants that had improved androstenone-detection accuracy is different of 50%.
More can be learned about the z-distribution at brainly.com/question/26454209