Question

Sampling Variability in the Sample Proportion Quick Check
3 of 53 of 5 Items












Question
Use the table to answer the question.

This table shows the sample proportion to find sample distribution.
Sample Number Sample Proportion
1 0.54
2 0.35
3 0.57
4 0.6
5 0.56
6 0.59
7 0.51
8 0.49
9 0.41
10 0.3
Which histogram represents a sample distribution of the given sample proportions?

(1 point)
Responses

A histogram is titled Sampling Distributions of Sample Proportions of a Population.
▶Click for Long Desc
Image with description A histogram is titled Sampling Distributions of Sample Proportions of a Population.

A histogram is titled Sampling Distributions of Sample Proportions of a Population.
▶Click for Long Desc
Image with description A histogram is titled Sampling Distributions of Sample Proportions of a Population.

A histogram is titled Sampling Distributions of Sample Proportions of a Population.
▶Click for Long Desc
Image with description A histogram is titled Sampling Distributions of Sample Proportions of a Population.

A histogram is titled Sampling Distributions of Sample Proportions of a Population.
▶Click for Long Desc
Image with description A histogram is titled Sampling Distributions of Sample Proportions of a Population.
Skip to navigation

Answer 1

Compute the distribution of the 10 sample proportions:
0.30, 0.35, 0.41, 0.49, 0.51, 0.54, 0.56, 0.57, 0.59, 0.60
Mean ≈ 0.492. If you use 0.1-wide bins (0.3–0.4, 0.4–0.5, 0.5–0.6, 0.6–0.7) the counts are:
- 0.3–0.4: 2
- 0.4–0.5: 2
- 0.5–0.6: 5
- 0.6–0.7: 1

So pick the histogram whose tallest bar is in the 0.5–0.6 bin (most observations there), smaller bars in 0.3–0.4 and 0.4–0.5, and one value at 0.6–0.7.