Question

Tooth Fillings and Sensory Disorders In recent years, concerns have been expressed about adverse health effects from amalgam dental restorations, which include mercury. The table below shows results from a study in which some patients were treated with amalgam restorations and others were treated with composite restorations that do not contain mercury (based on data from "Neuropsychological and Renal Effects of Dental Amalgam in Children," by Bellinger et al., Journal of the American Medical Association, Vol. 295, No. 15). Use a 0.05 significance level to test for independence between the type of restoration and sensory disorders. Do amalgam restorations appear to affect sensory disorders? Amalgam Composite Total Sensory Disorders 36 28 64 No Sensory Disorder 231 239 470 Total 267 267 534 Question 1 Would the following hypothesis be correct for the above question? H0: Sensory disorder depends on restoration type. H1: Sensory disorder is independent of restoration type. True False Question 2 What would be the degrees of freedom in the above case? a) 2 b) 4 c) 1 d) 3 Question 3 Based on a critical value of 3.841, would you reject or fail to reject the null hypothesis? a) Reject the null hypothesis b) Fail to reject the null hypothesis Question 4 If the p-value from the above case is 0.286, what would be your decision and conclusion in this case? a) Fail to reject H0. There is sufficient evidence to warrant rejection of the claim of independence between the type of restoration and sensory disorder. Amalgam restorations do not appear to affect sensory disorder. b) Reject H0. There is sufficient evidence to warrant rejection of the claim of independence between the type of restoration and sensory disorder. Amalgam restorations do not appear to affect sensory disorder. c) Reject H0. There is not sufficient evidence to warrant rejection of the claim of independence between the type of restoration and sensory disorder. Amalgam restorations do not appear to affect sensory disorder. d) Fail to reject H0. There is not sufficient evidence to warrant rejection of the claim of independence between the type of restoration and sensory disorder. Amalgam restorations do not appear to affect sensory disorder.

Tooth Fillings and Sensory Disorders

In recent years, concerns have been expressed about adverse health effects from amalgam dental restorations, which include mercury. The table below shows results from a study in which some patients were treated with amalgam restorations and others were treated with composite restorations that do not contain mercury (based on data from "Neuropsychological and Renal Effects of Dental Amalgam in Children," by Bellinger et al., Journal of the American Medical Association, Vol. 295, No. 15). Use a 0.05 significance level to test for independence between the type of restoration and sensory disorders. Do amalgam restorations appear to affect sensory disorders?

Amalgam Composite Total
Sensory Disorders 36 28 64
No Sensory Disorder 231 239 470
Total 267 267 534

Question 1
Would the following hypothesis be correct for the above question?
H0: Sensory disorder depends on restoration type.
H1: Sensory disorder is independent of restoration type.
True
False

Question 2
What would be the degrees of freedom in the above case?
a) 2
b) 4
c) 1
d) 3

Question 3
Based on a critical value of 3.841, would you reject or fail to reject the null hypothesis?
a) Reject the null hypothesis
b) Fail to reject the null hypothesis

Question 4
If the p-value from the above case is 0.286, what would be your decision and conclusion in this case?
a) Fail to reject H0. There is sufficient evidence to warrant rejection of the claim of independence between the type of restoration and sensory disorder. Amalgam restorations do not appear to affect sensory disorder.
b) Reject H0. There is sufficient evidence to warrant rejection of the claim of independence between the type of restoration and sensory disorder. Amalgam restorations do not appear to affect sensory disorder.
c) Reject H0. There is not sufficient evidence to warrant rejection of the claim of independence between the type of restoration and sensory disorder. Amalgam restorations do not appear to affect sensory disorder.
d) Fail to reject H0. There is not sufficient evidence to warrant rejection of the claim of independence between the type of restoration and sensory disorder. Amalgam restorations do not appear to affect sensory disorder.

Added by Rachel W.

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