In two consecutive years, 1000 adults in the magical community were asked if they believed that...

Free

80.2K

Verified Solution

Question

Statistics

In two consecutive years, 1000 adults in the magical communitywere asked if they believed that Voldemort had returned. The firstyear, 43% believed that he had returned and in the second year, 47%believed that he had returned.
1) Explain why it would be inappropriate to conclude, based onthese percentages alone, that the percentage of adults who believedthat Voldemort had returned increased from the first year to thesecond year.
2) Assume that the conditions have been satisfied. Construct a95% confidence interval for the difference in the proportions ofadults who believed that Voldemort had returned.
3) Based on the confidence interval, can we conclude that theproportion of adults with this belief increased from the first yearto the second year? Explain.

Answer & Explanation Solved by verified expert

4.1 Ratings (828 Votes)

it would be inappropriate to conclude, based on these percentages alone, that the percentage of adults who believed that Voldemort had returned increased from the first year to the second year.

as the samples of people were taken from the magical community not from the adults

...............

proportion success of sample 1 , pÌ‚1=Â Â x1/n1=Â Â 0.4300
proportion success of sample 1 , pÌ‚ 2=Â Â x2/n2 = Â Â 0.470
level of significance, Î± =Â Â 0.05Â Â Â Â Â Â Â Â Â Â Â
Z critical value =Â Â Z Î±/2 = Â Â 1.960Â Â

Get Answers to Unlimited Questions

Join us to gain access to millions of questions and expert answers. Enjoy exclusive benefits tailored just for you!

Membership Benefits:

Unlimited Question Access with detailed Answers
Zin AI - 3 Million Words
10 Dall-E 3 Images
20 Plot Generations
Conversation with Dialogue Memory
No Ads, Ever!
Access to Our Best AI Platform: Flex AI - Your personal assistant for all your inquiries!

Become a Member