Question

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

From the table, the total number of people who reviewed product version 2 is in the 'total' column for product version 2.

Step2: Analyze the relative - frequency table for association

First, calculate the relative frequencies. For product version 1, the relative frequency of "would buy it" is \(\frac{23}{35}\approx0.657\), and for product version 2, the relative frequency of "would buy it" is \(\frac{32}{49}\approx0.653\). The relative frequency of "neutral or would not buy it" for product version 1 is \(\frac{12}{35}\approx0.343\), and for product version 2 is \(\frac{17}{49}\approx0.347\).

Answer:

a. 49 people reviewed product version 2.
b. There is no strong association. The relative frequencies of "would buy it" (\(\frac{23}{35}\approx0.657\) for version 1 and \(\frac{32}{49}\approx0.653\) for version 2) and "neutral or would not buy it" (\(\frac{12}{35}\approx0.343\) for version 1 and \(\frac{17}{49}\approx0.347\) for version 2) are very close for both product versions.