Question

a dataset has sample proportions with a minimum of 0.55 and a maximum of 0.80 which bin width would allow for seeing the variability of the data in the sampling  distribution a. 0.05 b. 0.5 c. 0.25 d. 0.005

Answer 1

To choose an appropriate bin width for visualizing the variability of sample proportions in the range of 0.55 to 0.80, we want a width that allows us to see the distribution clearly while also capturing meaningful differences in the data.

Let's consider the options provided:

- a. **0.05**: This is a relatively small bin width. Given that the range is 0.55 to 0.80, this would create a good number of bins (5 bins: 0.55-0.60, 0.60-0.65, 0.65-0.70, 0.70-0.75, 0.75-0.80) which would allow for a detailed view of the variability in the data.

- b. **0.5**: This is a very large bin width. It would lead to only one bin covering the entire range, which would not show any meaningful variability.

- c. **0.25**: This is moderate and would create around 3 bins (0.55-0.80 with overlaps). However, it might not provide much clarity given the relatively small range.

- d. **0.005**: This is extremely small and would create an impractically large number of bins given the range, making it difficult to interpret.

Given these considerations, the most appropriate choice is:

**a. 0.05**

This bin width will allow for a clear visualization of the variability in the sample proportions within the specified range.