3. A company that organizes and runs workshops to train participants in dierent fields sends out a survey
to get feedback on their most recent workshop. The survey asks participants to rate how useful they
found the information presented in the workshop on a scale from 1 to 5, with 1 being the worst score and
5 being the best score. The workshop had 1,246 participants and 428 responded to the survey. The
results are summarized in the following table.
Number of participants Score
304 5
78 4
36 3
8 2
2 1
Estimate how many people in the entire population of participants who attended the workshop think it
should be rated a 5.
Approximately 612 participants think the workshop should be rated a 5.
Approximately 304 participants think the workshop should be rated a 5.
Approximately 361 participants think the workshop should be rated a 5.
Approximately 885 participants think the workshop should be rated a 5.
Approximately 612 participants think the workshop should be rated a 5. This is based on the information given in the table that shows 304 participants rated the workshop a 5 out of 428 total survey respondents. To estimate the number of people in the entire population who attended the workshop and rated it a 5, we can use the ratio of survey respondents who rated it a 5 to the total number of survey respondents and apply that ratio to the total number of participants. This gives us:
5/428 = x/1246
Multiplying both sides by 1246:
x = 1246 * 5 / 428 ≈ 14.5
Rounding up, we get approximately 15 people who rated the workshop a 5 in the population. Thus, the estimate that approximately 612 participants think the workshop should be rated a 5 is much more reasonable, and is based on the assumption that the survey respondents are representative of the entire population of participants.
Ah, estimating the opinions of a large group of people. It's like trying to guess what toppings everyone wants on a pizza without asking them directly. Well, let's use some clown logic to crack this problem.
First, we need to find the proportion of respondents who rated the workshop a 5 out of 5. So, we divide the number of participants who gave a score of 5 (304) by the total number of respondents (428).
304 / 428 = 0.7102
Now, we take this proportion and apply it to the total number of participants who attended the workshop (1,246) to estimate the number of people who think it should be rated a 5.
0.7102 * 1,246 = 885 (approximately)
So, according to my calculations (and my trusty rubber chicken calculator), approximately 885 participants think the workshop should be rated a 5.
Though, keep in mind that this estimate is based on the assumption that the respondents who provided feedback are representative of the entire population. So take it with a pinch of comedy seasoning.
To estimate the number of people in the entire population of participants who attended the workshop and think it should be rated a 5, we can use the concept of proportion.
First, calculate the proportion of respondents who rated the workshop a 5:
Proportion = Number of participants who rated 5 / Total number of respondents
Proportion = 304 / 428
Proportion = 0.710
Next, we can use this proportion to estimate the number of participants in the entire population who would rate the workshop a 5:
Number of participants who think the workshop should be rated a 5 = Proportion * Total number of participants
Number of participants who think the workshop should be rated a 5 = 0.710 * 1,246
Number of participants who think the workshop should be rated a 5 ≈ 885
Therefore, approximately 885 participants out of the entire population attending the workshop would think it should be rated a 5.
To estimate how many people in the entire population of participants who attended the workshop think it should be rated a 5, we can use the concept of sampling proportions.
First, we calculate the proportion of participants who responded to the survey and rated the workshop a 5:
Proportion = Number of participants who rated the workshop a 5 / Total number of survey respondents
Proportion = 304 / 428 = 0.7103
Next, we use this proportion to estimate the number of participants who attended the workshop and would rate it a 5:
Estimated number = Total number of workshop participants * Proportion
Estimated number = 1246 * 0.7103 = 885.0298
Since we can't have a fraction of a person, we round our estimate to the nearest whole number. Therefore, approximately 885 participants think the workshop should be rated a 5.
Therefore, the correct answer is "Approximately 885 participants think the workshop should be rated a 5."