Question

It is thought that $42 \%$ of respondents in a taste test would prefer Brand $A$. In a particular test of 100 people, preferred Brand $A$. What distribution should you use to perform a hypothesis test?

Name: Problem 26, Chapter 9: Introductory Business Statistics
Uploaded: 2020-09-21T02:39:38-08:00
Duration: 21 s
Channel: Bryan Meares
Description: It is thought that 42 % of respondents in a taste test would prefer Brand A. In a particular test of 100 people, preferred Brand A. What distribution should you use to perform a hypothesis test?

   It is thought that $42 \%$ of respondents in a taste test would prefer Brand $A$. In a particular test of 100 people, preferred Brand $A$. What distribution should you use to perform a hypothesis test?

Introductory Business Statistics

Alexander Holmes,… 1st Edition

Chapter 9, Problem 26

Instant Answer

Solved by Expert Bryan Meares

09/21/2020

Step 1

We have a proportion (42%) that represents the population parameter. Show more…

Show all steps

Thanks for your feedback!

It is thought that $42 \%$ of respondents in a taste test would prefer Brand $A$. In a particular test of 100 people, preferred Brand $A$. What distribution should you use to perform a hypothesis test?

Play audio

Feedback

Bryan Meares and 66 other subject Intro Stats / AP Statistics educators are ready to help you.

Ask a new question

Labs

Want to see this concept in action?

NEW

Explore this concept interactively to see how it behaves as you change inputs.

View Labs

Key Concepts

Binomial Distribution

This distribution models the number of successes in a fixed number of independent trials, where each trial has two possible outcomes (success or failure). In the context of the question, each person's response—whether they prefer Brand A or not—acts as an independent trial with a constant probability of success, making the binomial distribution the appropriate choice.

Hypothesis Testing for Proportions

This concept involves comparing an observed sample proportion to a hypothesized population proportion to determine if there is a statistically significant difference. In this case, the test determines whether the observed count of respondents who prefer Brand A deviates significantly from the expected 42% using the binomial distribution as the sampling model.

Please give Ace some feedback