A recent study investigated the impact of owning a pet on a patient's recovery from depression. Researchers found 500 people with depression and followed the group for 2 years. Group 1: 400 patients did not have a pet, and 248 showed improvement in symptoms. Group 2: 100 patients owned a pet, and 72 showed improvement in symptoms. Perform a hypothesis test to see if patients with pets were more likely to show improvement in symptoms than ones who did not own pets? Use alpha = 0.05. For a hypothesis test, what is an appropriate null hypothesis? Group of answer choices The proportion of pet owners that show improvement in symptoms is the same as the proportion of non-pet owners that show improvement. The proportion of pet owners that show improvement in symptoms is greater than the proportion of non-pet owners that show improvement. The number of pet owners that show improvement in symptoms is the same as the number of non-pet owners that show improvement. For this hypothesis test, what is the value of the overall p-hat? Group of answer choices 0.1 0.64 0.67 0.44 Perform a hypothesis test with alpha=0.05. What is the conclusion you make? Group of answer choices Reject the null hypothesis. Pets help their owners recover from depression. Reject the null hypothesis. We have evidence that pet owners are more likely to recover from depression. Reject the null hypothesis. We have evidence that the proportion of pet owners with depression is different from non-pet owners. Do not reject the null hypothesis. We do not have evidence that pet owners are more likely to recover from depression. In the context of this problem, what does it mean to commit a Type II error? Group of answer choices In reality pet owners and non-pet owners are equally likely to improve, but we conclude that pet owners are more likely to improve. In reality pet owners are more likely to improve from depression than non-pet owners , but we conclude that we do not have evidence to support this. We used sample sizes of significantly different size, so our conclusions cannot be trusted. In reality pet owners are more likely to improve from depression than non-pet owners , but we conclude that they are equally likely to improve.
A recent study investigated the impact of owning a pet on a patient's recovery from depression. Researchers found 500 people with depression and followed the group for 2 years.
Group 1: 400 patients did not have a pet, and 248 showed improvement in symptoms.
Group 2: 100 patients owned a pet, and 72 showed improvement in symptoms.
Perform a hypothesis test to see if patients with pets were more likely to show improvement in symptoms than ones who did not own pets? Use alpha = 0.05.
For a hypothesis test, what is an appropriate null hypothesis?
The proportion of pet owners that show improvement in symptoms is the same as the proportion of non-pet owners that show improvement.
The proportion of pet owners that show improvement in symptoms is greater than the proportion of non-pet owners that show improvement.
The number of pet owners that show improvement in symptoms is the same as the number of non-pet owners that show improvement.
For this hypothesis test, what is the value of the overall p-hat?
0.1
0.64
0.67
0.44
Perform a hypothesis test with alpha=0.05. What is the conclusion you make?
Reject the null hypothesis. Pets help their owners recover from depression.
Reject the null hypothesis. We have evidence that pet owners are more likely to recover from depression.
Reject the null hypothesis. We have evidence that the proportion of pet owners with depression is different from non-pet owners.
Do not reject the null hypothesis. We do not have evidence that pet owners are more likely to recover from depression.
In the context of this problem, what does it mean to commit a Type II error?
In reality pet owners and non-pet owners are equally likely to improve, but we conclude that pet owners are more likely to improve.
In reality pet owners are more likely to improve from depression than non-pet owners , but we conclude that we do not have evidence to support this.
We used sample sizes of significantly different size, so our conclusions cannot be trusted.
In reality pet owners are more likely to improve from depression than non-pet owners , but we conclude that they are equally likely to improve.
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