Answer:
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Explanation:
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By applying Pythagorean' theorem, the value of tanP is equal to 3/4.
<h3>How to determine the value of tan P?</h3>
Since triangle PQR has right-angle Q and sinR = 4/5, we have:
sinR = Opp/hyp = 4/5
tanP = Opp/Adj = QR/4
Next, we would determine the length of QR by applying Pythagorean' theorem:
PR² = QR² + PQ²
5² = QR² + 4²
25 = QR² + 16
QR² = 25 - 18
QR = √9
QR = 3 units.
For the value of tanP, we have:
tanP = 3/4.
Read more on Pythagorean theorem here: brainly.com/question/23200848
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Considering the p-value of 0.6, the decision is that we do not reject the null hypothesis.
<h3>What are the hypothesis tested?</h3>
At the null hypothesis, we test if the proportions are equal, that is:
At the alternative hypothesis, we test if they are different, that is:
<h3>What is the decision rule?</h3>
- If the p-value is greater than the significance level, we do not reject the null hypothesis.
- If the p-value is less than the significance level, we reject the null hypothesis.
In this problem, the significance level is of 0.1, while the p-value is of 0.6, hence the correct decision for the test is to not reject the null hypothesis.
More can be learned about p-values and hypothesis tests at brainly.com/question/16313918