A major manufacturer of home electronics is interested in determining whether customers have a preference between two new speaker designs for their home entertainment centers.To test this,the design department manager has selected a random sample of customers and shown them the first design.A second sample of customers is shown design 2.The manager then asks each customer whether they prefer the new design they were shown over the one they currently own.The following results were observed: Based on these data and a significance level equal to 0.05,the test statistic is approximately -4.22 and thus the null hypothesis should be rejected.

Question

A major manufacturer of home electronics is interested in determining whether customers have a preference between two new speaker designs for their home entertainment centers.To test this,the design department manager has selected a random sample of customers and shown them the first design.A second sample of customers is shown design 2.The manager then asks each customer whether they prefer the new design they were shown over the one they currently own.The following results were observed:  Based on these data and a significance level equal to 0.05,the test statistic is approximately -4.22 and thus the null hypothesis should be rejected.

Quizplus · Accepted Answer

The negative test statistic of -4.22 indicates that there is a significant difference between the preferences of the two speaker designs. This leads to the rejection of the null hypothesis and supports the belief that customers have a preference between the two designs.

A Major Manufacturer of Home Electronics Is Interested in Determining