Dr. House is leading a study to determine whether a new drug could significantly improve memory loss in people with amnesia. From a group of 500 people with amnesia, 250 were randomly assigned to Group 1 and received the drug. The remaining people were assigned to Group 2 and received a placebo. After one month of treatment, 225 people in group 1 and 150 people in group 2 reported recovered memories. Let pˆC represent the combined (or pooled) sample proportion for the two samples. Have the conditions for inference for testing the difference in population proportions been met? a. No. The people in the study were not selected at random. b. Yes. All conditions for inference have been met. c. No. The normality of the sampling distribution cannot be assumed because 1−pˆC times each sample size is not sufficiently large. d. No. The number of people in the study was too large compared with the size of the population. e. No. The normality of the sampling distribution cannot be assumed because pˆC times each sample size is not sufficiently large.

Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter11: Data Analysis And Probability
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Dr. House is leading a study to determine whether a new drug could significantly improve memory loss in people with amnesia. From a group of 500 people with amnesia, 250 were randomly assigned to Group 1 and received the drug. The remaining people were assigned to Group 2 and received a placebo. After one month of treatment, 225 people in group 1 and 150 people in group 2 reported recovered memories. Let pˆC represent the combined (or pooled) sample proportion for the two samples. Have the conditions for inference for testing the difference in population proportions been met?

  • a. No. The people in the study were not selected at random.
  • b. Yes. All conditions for inference have been met.
  • c. No. The normality of the sampling distribution cannot be assumed because 1−pˆC times each sample size is not sufficiently large.
  • d. No. The number of people in the study was too large compared with the size of the population.
  • e. No. The normality of the sampling distribution cannot be assumed because pˆC times each sample size is not sufficiently large.
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