Question

nour wants to go on a popular talent tv show. in order to be accepted, her audition must get at least 60% positive votes from the people in the crowd. to make sure she’s not going to embarrass herself, she performed her act in front of 100 random people from her school. about 90% of the people said they would give her a positive vote. she calculated the margin of error and found it’s well within the range above 60%, so she decided to go and audition. what type of statistical study did nour use? choose 1 answer: a sample study b experiment c observational study is the study appropriate for the statistical questions it’s supposed to answer? mark the most suitable choice. choose 1 answer: a no, because the population she sampled isn’t necessarily representative. b yes, because the sample she used is big enough. c no, because the sample she used is not big enough. d yes, because 90% is much higher than 60%, so she can be very confident she will be accepted.

Explanation:

First Sub - Question (Type of statistical study)

A sample study involves collecting data from a sample (here, 100 random people from her school) to make inferences. An experiment would involve manipulating variables, and an observational study is about observing without intervention. Since Nour sampled 100 people, it's a sample study.

The population for the audition is the crowd at the audition, but she sampled from her school. The school population isn't necessarily representative of the audition crowd. Sample size (100) might be big, but representativeness is key. So the study isn't appropriate because the sampled population isn't representative.

Answer:

A. Sample study

Second Sub - Question (Appropriateness of the study)