Analyzing Sample Proportions Through Histogram Interpretation

The video tutorial discusses a project where Seth and Tia estimate a population parameter using samples. Tia's sample shows 40% freshmen, while Seth's shows 20%. To determine which is more accurate, they collect 50 additional samples and analyze the data using a histogram. The results indicate that Seth's estimate is more representative of the population, as most samples fall between 10% and 35% freshmen.

What was the proportion of freshmen in Tia's sample?

• 0.2 or 20%

• 0.3 or 30%

• 0.4 or 40%

• 0.5 or 50%

Why did Seth and Tia decide to collect more samples?

• To confirm Tia's results

• To increase the sample size to 100

• To get a better picture of the population

• To prove Seth's results were wrong

How many additional samples did Seth and Tia collect?

• 100

• 50

• 20

• 10

What does the histogram represent in the context of the study?

• The total number of students surveyed

• The average age of students

• The number of freshmen in Tia's sample

• The distribution of sample proportions

In how many samples did the proportion of freshmen fall between 30% and 35%?

• 6

• 10

• 14

• 20

What range did most of the sample proportions fall into?

• 0.05 to 0.15

• 0.3 to 0.5

• 0.2 to 0.4

• 0.1 to 0.35

Which sample result was outside the range of most samples?

• Neither was outside the range

• Tia's 40%

• Seth's 20%

• Both were within the range

What conclusion was drawn about Seth's sample result?

• It was a better representation of the population

• It was the same as Tia's

• It was not considered in the final analysis

• It was less accurate than Tia's

What was the main purpose of the additional samples?

• To find the average age of students

• To determine the distance students live from home

• To create a larger dataset

• To verify the initial results

What was the final conclusion about Tia's sample result?

• It was within the range of most samples

• It was a better representation than Seth's

• It was not used in the final analysis

• It was outside the range of most samples