Discover the answers you need at Westonci.ca, a dynamic Q&A platform where knowledge is shared freely by a community of experts. Discover detailed answers to your questions from a wide network of experts on our comprehensive Q&A platform. Experience the ease of finding precise answers to your questions from a knowledgeable community of experts.
Sagot :
Using an hypothesis test, it is found that:
The p-value of the test is 0.177 > 0.05, which means that there is not significant evidence that the proportion of male goslings is not 50%.
----------------------------
- Test if the proportion of male goslings is different of 50%.
- At the null hypothesis, it is tested if the proportion is of 50%, that is: [tex]H_0: p = 0.5[/tex]
- At the alternative hypothesis, if is tested if the proportion is different of 50%, that is: [tex]H_1: p \neq 0.5[/tex]
----------------------------
The test statistic is given by:
[tex]z = \frac{X - p}{\sqrt{\frac{p(1-p)}{n}}}[/tex]
In which
- p is the proportion tested.
- X is the sample proportion.
- n is the size of the sample.
----------------------------
- The proportion tested is 0.5, thus [tex]p = 0.5[/tex]
- The sample proportion is 17 out of 27, thus [tex]n = 27, X = \frac{17}{27} = 0.6296[/tex].
----------------------------
The value of the test statistic is:
[tex]z = \frac{X - p}{\sqrt{\frac{p(1-p)}{n}}}[/tex]
[tex]z = \frac{0.6296 - 0.5}{\sqrt{\frac{0.5\times0.5}{27}}}[/tex]
[tex]z = 1.35[/tex]
----------------------------
- Two-tailed test, thus the p-value of the test is P(|z| > 1.35), which is 2 multiplied by the p-value of z = -1.35.
- Looking at the z-table, z = -1.35 has a p-value of 0.0885.
- The p-value of the test is: [tex]0.0885 \times 2 = 0.177[/tex]
The p-value of the test is 0.177 > 0.05, which means that there is not significant evidence that the proportion of male goslings is not 50%.
A similar problem is given that https://brainly.com/question/24166849
Thanks for stopping by. We are committed to providing the best answers for all your questions. See you again soon. Thank you for your visit. We're dedicated to helping you find the information you need, whenever you need it. Thank you for visiting Westonci.ca. Stay informed by coming back for more detailed answers.