The null hypothesis would be that the percentage of children who leave foster care due to adoption is equal to 15%, while the alternative hypothesis would be that the percentage is greater than 15%.
In this scenario, the social worker failed to reject the null hypothesis, which means they did not find enough evidence to conclude that the percentage is actually greater than 15%. However, in reality, the percentage is 20%, so the social worker made a Type II error. This means they incorrectly concluded that the percentage is not greater than 15% when it actually is.
For the given scenario, determine the type of error that was made, if any. (Hint: Begin by determining the null and alternative hypotheses.)
Foster care systems have generally accepted 15 % as the percentage of children who leave foster care due to adoption. One social worker claims
that the percentage of children who leave foster care due to adoption is more than 15 % . The social worker conducts a hypothesis test and fails to
reject the null hypothesis. Assume that in reality, the percentage of children who leave foster care due to adoption is 20 % . Was an error made? If
so, what type?
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Answer 2 Points
No; correct decision
O Yes; Type Il error
O Yes; Type I error
1 answer