Researchers randomly selected 36 children who had been identified as gifted from a large city. The IQ of each child and the IQ of the child's mother were measured. You will perform a statistical analysis to determine if IQs of gifted children tend to be higher than their mothers' IQ on average. The mean difference in IQ (child - mother) was 3.22 points, with a standard deviation of 7.41 points. A dotplot of these differences follows.
-The p-value for these data is 0.0067. Would you consider the results of this study to be statistically significant at the 5% significance level? Select one.
A) Yes, because random sampling was used.
B) No, because we did not randomly assign groups.
C) Yes, because the p-value is less than 0.05.
D) No, because the validity conditions were not met.
E) No, because a difference of 3.111 IQ points, on average, is not very much.

Question

Researchers randomly selected 36 children who had been identified as gifted from a large city. The IQ of each child and the IQ of the child's mother were measured. You will perform a statistical analysis to determine if IQs of gifted children tend to be higher than their mothers' IQ on average. The mean difference in IQ (child - mother) was 3.22 points, with a standard deviation of 7.41 points. A dotplot of these differences follows. 
-The p-value for these data is 0.0067. Would you consider the results of this study to be statistically significant at the 5% significance level? Select one.
A) Yes, because random sampling was used. 
B) No, because we did not randomly assign groups. 
C) Yes, because the p-value is less than 0.05. 
D) No, because the validity conditions were not met. 
E) No, because a difference of 3.111 IQ points, on average, is not very much.

Quizplus · Accepted Answer

The p-value of 0.0067 is less than the significance level of 0.05, indicating that the results are statistically significant.

Researchers Randomly Selected 36 Children Who Had Been Identified as Gifted