Answer:
c) It is plausible that 40% of the population rides a bike to work because the data shows that a sample proportion of 29% is unlikely.
Step-by-step explanation:
Point diagrams show the frequency of occurrence of a series of events after a certain number of trials. In this case, the trials were 100. During each trial it would have been possible to have proportions of {0.24, 0.25, 0.26, 0.27, 0.28 ..... 0.56}
The events with the highest probability of occurrence are those with the highest number of points in the diagram.
Note that the distribution of the points resembles a bell, with a peak (greater clustering of points) between 0.35 and 0.41.
This indicates that it is more likely that the proportion of employees who go to work in bicycles will be between 0.35 and 0.41.
Then the diagram seems to indicate that a proportion less than 0.30 or greater than 0.45 is unlikely (they have less number of points)
Based on this analysis, it can be concluded that the correct option is c)
c) It is plausible that 40% of the population rides a bike to work because the data shows that a sample proportion of 29% is unlikely.
