We can calculate the expected number of students in the school who would play indoor games for at least four hours every week using the sample proportion:
Total number of students in the sample = 100
Number of students playing indoor games for at least four hours every week = 42 + 52 + 2 = 96
Sample proportion = Number of students in the sample playing indoor games for at least four hours every week / Total number of students in the sample
= 96 / 100
= 0.96
Expected number of students in the school playing indoor games for at least four hours every week = Sample proportion * Total number of students in the school
= 0.96 * 1,300
= 1,248
Therefore, based on the sample proportion, 1,248 students in the school would be expected to play indoor games for at least four hours every week.
The following table shows the data collected from a random sample of 100 middle school students on the number of hours they play indoor games every week:
Weekly Duration of Indoor Games
Time (in hours) 0-3 4-7 8-11 12-15
Number of Students 4 42 52 2
There are 1,300 students in the school. Based on the sample proportion, how many students in the school would be expected to play indoor games for at least four hours every week 546
598
702
1,248
1 answer
1 answer