A significance test is conducted for which the alternative hypothesis states that more than 85 percent of adult sea turtles on a certain beach are female. The p-value for the test is 0.4158. If the null hypothesis is true, which of the following statements is a correct interpretation of the p-value?

a. Of all possible samples of the same size, 41.58 percent will result in 85 percent of adult sea turtles on the beach being female.
b. Of all possible samples of the same size, 41.58 percent will result in 85 percent or more of adult sea turtles on the beach being female.
c. Of all possible samples of the same size, 41.58 percent will result in 85 percent or less of adult sea turtles on the beach being female.
d. Of all possible samples of the same size, 20.79 percent will result in 85 percent or more of adult sea turtles on the beach being female.
e. Of all possible samples of the same size, 20.79 percent will result in 85 percent of adult sea turtles on the beach being female.

Question

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19-02-2021
Mathematics

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A significance test is conducted for which the alternative hypothesis states that more than 85 percent of adult sea turtles on a certain beach are female. The p-value for the test is 0.4158. If the null hypothesis is true, which of the following statements is a correct interpretation of the p-value?

a. Of all possible samples of the same size, 41.58 percent will result in 85 percent of adult sea turtles on the beach being female.
b. Of all possible samples of the same size, 41.58 percent will result in 85 percent or more of adult sea turtles on the beach being female.
c. Of all possible samples of the same size, 41.58 percent will result in 85 percent or less of adult sea turtles on the beach being female.
d. Of all possible samples of the same size, 20.79 percent will result in 85 percent or more of adult sea turtles on the beach being female.
e. Of all possible samples of the same size, 20.79 percent will result in 85 percent of adult sea turtles on the beach being female.

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Answer:

d. Of all possible samples of the same size, 20.79 percent will result in 85 percent of adult sea turtles on the beach being females.

Step-by-step explanation:

Hypothesis testing is conducted to test an observation against the null hypothesis. P-value is calculated to determine whether to accept or reject the null hypothesis. In the given case the p-value is 0.4158 which means null hypothesis is true.