A student wondered what proportion of a large jar of thousands of marbles were red and speculated that it was 0.30. She took a random sample of 50 marbles and got 18 red marbles, for a sample proportion of 0.36. Below is a dotplot of 100 simulated samples of drawing 50 marbles from a population that is set up to have the proportion of "red marbles" to be 0.30. Based on this dotplot, would getting a sample of 50 marbles to have a 0.36 proportion of red marbles be significant evidence that the true proportion of red marbles in the whole jar is greater than 0.30?

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 27PPS
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A student wondered what proportion of a large jar of thousands of marbles were red and speculated that it was 0.30. She took a random sample of 50 marbles and got 18 red marbles, for a sample proportion of 0.36. Below is a dotplot of 100 simulated samples of drawing 50 marbles from a population that is set up to have the proportion of "red marbles" to be 0.30. Based on this dotplot, would getting a sample of 50 marbles to have a 0.36 proportion of red marbles be significant evidence that the true proportion of red marbles in the whole jar is greater than 0.30?

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