Question

name
date
period
algebra 1.3 section a checkpoint

1. a company is testing two versions of a product with a group of people to find out whether they would buy the product. the results are summarized in the table.

a. if each persons response is only in the table once, how many people reviewed product version 2?
b. use a relative frequency table to determine if there is an association between the product versions and whether people would buy each one. explain your reasoning.

Explanation:

Step1: Find the number of people who reviewed product version 2

We look at the row labeled "total" for product version 2. The value in that cell is 49.

Answer:

a. 49 people reviewed product version 2.

Step1: Create a relative - frequency table

First, we find the row - relative frequencies.
For product version 1:
The proportion of people who would buy it is \(\frac{23}{35}\approx0.657\), and the proportion of people who are neutral or would not buy it is \(\frac{12}{35}\approx0.343\)
For product version 2:
The proportion of people who would buy it is \(\frac{32}{49}\approx0.653\), and the proportion of people who are neutral or would not buy it is \(\frac{17}{49}\approx0.347\)

Step2: Analyze the relative - frequency table for association

Since the row - relative frequencies (\(\frac{23}{35}\approx0.657\) for version 1 - would buy, \(\frac{32}{49}\approx0.653\) for version 2 - would buy; \(\frac{12}{35}\approx0.343\) for version 1 - neutral or no, \(\frac{17}{49}\approx0.347\) for version 2 - neutral or no) are very close.