Answered: In a survey of 100 randomly selected…

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

See similar textbooks

Related questions

Question

$### Survey Predictive Analysis In a survey of 100 randomly selected dentists, 24 dentists recommended Pearly brand over the other 5 toothpastes. Based on this data, we can predict how many dentists out of a larger sample size, such as 350, would recommend Pearly brand toothpaste. #### Calculation: 1. **Initial Survey Data:** - Total dentists surveyed: 100 - Dentists recommending Pearly brand: 24 2. **Proportion Calculation:** - Proportion of dentists recommending Pearly = $ \frac{24}{100} = 0.24 $ 3. **Predicted Number of Dentists:** - For 350 dentists: - Predicted dentists recommending Pearly = $ 0.24 \times 350 = 84 $ Therefore, it is predicted that out of 350 dentists, approximately 84 would recommend Pearly brand toothpaste based on the initial survey data. #### Explanation: This predictive model operates under the assumption that the sample is representative of the larger population, and thus the proportion of dentists recommending Pearly brand will remain consistent. The model serves as a useful tool for making informed predictions from sample data, aiding in decision-making and strategic planning.$

Transcribed Image Text:### Survey Predictive Analysis In a survey of 100 randomly selected dentists, 24 dentists recommended Pearly brand over the other 5 toothpastes. Based on this data, we can predict how many dentists out of a larger sample size, such as 350, would recommend Pearly brand toothpaste. #### Calculation: 1. **Initial Survey Data:** - Total dentists surveyed: 100 - Dentists recommending Pearly brand: 24 2. **Proportion Calculation:** - Proportion of dentists recommending Pearly = $ \frac{24}{100} = 0.24 $ 3. **Predicted Number of Dentists:** - For 350 dentists: - Predicted dentists recommending Pearly = $ 0.24 \times 350 = 84 $ Therefore, it is predicted that out of 350 dentists, approximately 84 would recommend Pearly brand toothpaste based on the initial survey data. #### Explanation: This predictive model operates under the assumption that the sample is representative of the larger population, and thus the proportion of dentists recommending Pearly brand will remain consistent. The model serves as a useful tool for making informed predictions from sample data, aiding in decision-making and strategic planning.

Expert Solution

Trending now

This is a popular solution!

Step by step

Solved in 3 steps

SEE SOLUTION Check out a sample Q&A here

In a survey of 100 randomly selected dentists, 24 dentists recommended Pearly brand over the other 5 toothpastes. Predict how many dentists out of 350 would recommend Pearly brand toothpaste.