SAT High School

A teacher tells her students that a large jar of marbles contains 55% red marbles. students randomly select a sample of 40 marbles and determined the proportion of red marbles. one sample a student selected contained 16 red marbles. assuming the teacher’s claim is true, 100 simulated proportions are displayed in the dotplot. using the dotplot and sample proportion, is there convincing evidence that the teacher’s claim is false? yes, because a proportion of 0.40 or more occurred 98 out of 100 times, the sample proportion of red marbles is statistically significant and there is convincing evidence that the teacher’s claim is false. yes, because a proportion of 0.40 or less occurred only 2 out of 100 times, the sample proportion of red marbles is statistically significant and there is convincing evidence that the teacher’s claim is false. no, because a proportion of 0.40 or more occurred 98 out of 100 times, the sample proportion of red marbles is not statistically significant and there is not convincing evidence that the teacher’s claim is false. no, because a proportion of 0.40 or less occurred 2 out of 100 times, the sample proportion of red marbles is not statistically significant and there is not convincing evidence that the teacher’s claim is false.

Answers

Answer 1

There is convincing evidence that the teacher's claim is false because:

"a proportion of 0.45 or more occurred 87 out of 100 times" (Option A).

Why is the Teacher's Claim False?

The teacher's claim is false because a percentage of 0.45 or more occurred 87 out of 100 times.

What this says is that the sample of red marbles is statistically significant.

Therefore, the teacher's claim that the large jar of marbles contains 55% red marble is false.

Learn more about statistical significance at:
https://brainly.com/question/15848236


Answer 2

Answer:

b

Explanation:

b

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