Lesson Example Discussion Quiz: Class Homework |
Example |
Title: Evaluating and Inference Sample Statistics |
Grade: 1400-a Lesson: S4-L4 |
Explanation: The best way to understand SAT-2 is by looking at some examples. Take turns and read each example for easy understanding. |
Examples:
A market researcher randomly selected 200 people who had expressed that they liked a particular book. These individuals were shown a movie adaptation of the book and were then asked if they liked or disliked the movie. Of those surveyed, 95% reported that they disliked the movie. Calculate the number of people who disliked the movie.
Step 1a
|
|
Determine the total number of people surveyed: 200 Calculate the number of people who disliked the movie: |
|
Explanation: Therefore, the number of people who disliked the movie was 190. |
|
A company has 200 employees. A manager surveyed a random sample of 40 employees and found that 16 of those polled supported a new company policy. Based on the sample, which of the following is the best estimate of the number of employees in the company who support the new policy?
Step 2a
|
|
First, we calculate the proportion of employees in the sample who support the policy: Proportion of supporters in the sample =
\$("Number of supporters in the sample") / ("Total number of sampled employees")\$ Proportion of supporters in the sample = \$16 / 40\$ = 0.4 |
|
Explanation: Here, we calculate the proportion of employees in the sample. |
|
Step 2b
|
|
Now, we can use this proportion to estimate the total number of supporters in the entire company: Estimated total number of supporters in the company = \$("Proportion of supporters in the sample") times ("Total number of company employees")\$ Estimated total number of supporters in the company = \$0.4 times 200\$ = 80 |
|
Explanation: So, the best estimate of the number of employees in the company who support the new policy is 80. |
|
Copyright © 2020-2022 saibook.us Contact: info@saibook.us Version: 1.5 Built: 18-June-2024 09:20AM EST