Using the z-distribution, it is found that the p-value is of 0.03.
At the null hypothesis, it is <u>tested if the proportion is of 0.5</u>, that is:
At the alternative hypothesis, it is <u>tested if the proportion is different of 0.5</u>, that is:
The test statistic is given by:
In which:
- is the sample proportion.
- p is the proportion tested at the null hypothesis.
For this problem, the parameters are:
Hence, the value of the test statistic is:
The p-value is found using a <u>z-distribution</u> calculator, with <u>z = -2.12</u> and a <u>two-tailed test</u>, as we are testing if the mean is different of a value, hence it is of 0.03.
To learn more about the use of the z-distribution for hypothesis tests, you can take a look at brainly.com/question/16313918