23 May WHAT MOST LIKELY HAPPENS AS A RESULT OF THE TESTING?
Question 1:
A hypothesis test is conducted with a significance level of 10%. The alternative hypothesis states that more than 15% of a population has at least one sibling. The p-value for the test is calculated to be 0.27. Which statement is correct?
a. We can conclude that more than 27% of the population has at least one sibling.
b. We can conclude that exactly 27% of the population has at least one sibling.
c. We can conclude that more than 15% of the population has at least one sibling.
d. We cannot conclude that more than 15% of the population has at least one sibling.
e. There is not enough information given to make a conclusion.
Question 2:
Big Sweets candy company is testing one of its machines in the factory to make sure it is producing more than 96% high-quality candy (H0: p = 0.96; Ha: p > 0.96; α = 0.05). The test results in a p-value of 0.12. However, the company is unaware that it is actually producing 98% high-quality candy. What MOST likely happens as a result of the testing?
a. The company rejects H0, making a Type I error.
b. The company fails to reject H0, making a Type I error.
c. The company rejects H0, making a Type II error.
d. The company fails to reject H0, making a Type II error.
e. The company rejects H0 correctly.
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