Lila and Robert attend different high schools. They will estimate the population percentage of students at their respective schools who have seen a certain movie. Lila and Robert each select a random sample of students from their respective schools and use the data to create a 95 percent confidence interval. Lila’s interval is (0.30,0.35), and Robert’s interval is (0.27,0.34). Which of the following statements can be concluded from the intervals?

Group of answer choices

Lila’s sample size is most likely greater than Robert’s sample size.

Robert’s sample size is mostly likely greater than Lila’s sample size.

Lila and Robert will both find the same sample proportion of students who have seen the movie.

Lila’s interval has a greater degree of confidence than that of Robert.

Robert’s interval has a greater degree of confidence than that of Lila.

Answers

Answer 1
lila’s sample size is most likely greater than robert’s sample size.
Answer 2

The statement that can be concluded from the intervals is Lila’s sample size is most likely greater than Robert’s sample size. The correct option is A.

What are statistics?

The science of statistics focuses on creating and researching strategies for gathering, analyzing, interpreting, and presenting empirical data.

An average of a numerical population variable is a population mean. The population means are estimated using confidence intervals.

A sample is a condensed, controllable representation of a larger group. It is a subgroup of people with traits from a wider population. When population sizes are too big for the test to include all potential participants or observations, samples are utilized in statistical testing.

Therefore, the correct option is A. Lila’s sample size is most likely greater than Robert’s sample size.

To learn more about statistics, refer to the link:

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