215k views
2 votes
A recent Gotham City (a fictional city) poll consisted of 1990 randomly selected adults who were asked whether human cloning research should be allowed. Results showed that 0% of those surveyed indicated that human cloning research should not be allowed. Note: Pay attention to the computed values and their reporting in the given context. a. Among the adults surveyed, how many said that human cloning research should not be allowed? b. Among the adults surveyed, how many said that human cloning research should be allowed? c. Assuming that people are indifferent so that 50% believe that human cloning research should not be allowed, find the mean and standard deviation for the numbers of people who do not support human cloning research. d. Does the result from the conducted poll appear to be unusually higher or lower than the assumed rate of 50% (from part b)? e. Does it appear that an overwhelming majority of adults from Gotham City do not support research in human cloning? Hint: compute the 95% CI and use its interpretation to guide the answer.

User Nere
by
8.2k points

2 Answers

4 votes
a. According to the given information, 0% of the surveyed adults indicated that human cloning research should not be allowed. Therefore, the number of adults who said that human cloning research should not be allowed is 0% of 1990, which is 0.

b. Since 0% of the surveyed adults said that human cloning research should not be allowed, the remaining percentage (100% - 0% = 100%) represents the adults who said that human cloning research should be allowed. Therefore, the number of adults who said that human cloning research should be allowed is 100% of 1990, which is 1990.

c. Assuming people are indifferent and 50% believe that human cloning research should not be allowed, we can calculate the mean and standard deviation for the numbers of people who do not support human cloning research. However, since the given information states that 0% of the surveyed adults indicated that human cloning research should not be allowed, the calculation of the mean and standard deviation is not applicable in this case.

d. The result from the conducted poll appears to be unusually lower than the assumed rate of 50% (from part b) because 0% of the surveyed adults said that human cloning research should not be allowed, whereas the assumed rate is 50%.

e. Based on the given information, it does appear that an overwhelming majority of adults from Gotham City do not support research in human cloning. Since 0% of the surveyed adults said that human cloning research should not be allowed, this suggests that a significant majority supports human cloning research. However, to provide a more accurate assessment, additional information such as the confidence interval (CI) is needed.
User Logioniz
by
8.3k points
0 votes

Final answer:

In a Gotham City poll, 0 out of 1990 adults said human cloning research should not be allowed, implying all support it. The mean assuming 50% opposition is 995, with a standard deviation of approximately 22.4. The poll result is unusually higher than the assumed indifference rate and indicates an overwhelming majority support cloning research.

Step-by-step explanation:

The question pertains to the analysis of poll results regarding the opinion of Gotham City's adults on whether human cloning research should be allowed.

  1. Among the adults surveyed, 0 indicated that human cloning research should not be allowed.
  2. If 0% indicated that it should not be allowed, then 100% or 1990 out of 1990 said that human cloning research should be allowed.
  3. Assuming indifference and that 50% believe that human cloning research should not be allowed, the mean is 1990 × 0.5 = 995, and the standard deviation is √ (1990 × 0.5 × (1 - 0.5)) = √ (1990 × 0.5 × 0.5) = approximately 22.4.
  4. The result from the conducted poll appears to be unusually higher than the assumed rate of 50%. None of the subjects opposed human cloning research, which is significantly different from the assumed indifference level.
  5. The overwhelming majority of adults from Gotham City appear to support research in human cloning, as indicated by a 100% approval in the poll. To further confirm, we could compute a 95% confidence interval (CI), but since the approval rate is at the extreme of 100%, it is clear the majority supports the research.
User Jyotirmoy
by
7.9k points