Question

In an effort to make children’s toys safer and more tamperproof, toy packaging has become cumbersome...

In an effort to make children’s toys safer and more tamperproof, toy packaging has become cumbersome for parents to remove in many cases. Accordingly, the director of marketing at Toys4Tots, a large toy manufacturer, wants to evaluate the effectiveness of a new packaging design which engineers claim will reduce customer complaints by more than 10 percentage points. Customer satisfaction surveys were sent to 200 parents who registered toys packaged under the old design and 200 parents who registered toys packaged under the new design. Of these, 85 parents expressed dissatisfaction with packaging of the old design, and 40 parents expressed dissatisfaction with packaging of the new design.

Let p1 represent the population proportion of parents that expressed dissatisfaction with the packaging of the old design and p2 represent the population proportion of parents that expressed dissatisfaction with the packaging of the new design.

a. Specify the null and alternative hypotheses to test whether customer complaints have been reduced by more than 10 percentage points under the new packaging design.

H0: p1p2 ≤ 0.10; HA: p1p2 > 0.10
H0: p1p2 = 0.10; HA: p1p2 ≠ 0.10
H0: p1p2 ≥ 0.10; HA: p1p2 < 0.10

b. What is the value of the test statistic and the associated p-value? (Round your sample proportions to 3 decimal places. Round all other intermediate calculations to at least 4 decimal places.)

Test statistic
p-value

c. At the 5% significance level, do the results support the engineers’ claim?

(Click to select)(Yes/No), the results (Click to select)(support/do not support )the engineer’s claim that the new package design reduces customer complaints by more than 10%.

d. At the 1% significance level, do the results support the engineers’ claim?

(Click to select)(Yes/No), the results (Click to select)(support/do not support) the engineer’s claim that the new package design reduces customer complaints by more than 10%.

Homework Answers

Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
In an effort to make children’s toys safer and more tamperproof, toy packaging has become cumbersome...
In an effort to make children’s toys safer and more tamperproof, toy packaging has become cumbersome for parents to remove in many cases. Accordingly, the director of marketing at Toys4Tots, a large toy manufacturer, wants to evaluate the effectiveness of a new packaging design which engineers claim will reduce customer complaints by more than 5 percentage points. Customer satisfaction surveys were sent to 230 parents who registered toys packaged under the old design and 230 parents who registered toys packaged...
Reducing scrap of 4-foot planks of hardwood is an important factor in reducing cost at a...
Reducing scrap of 4-foot planks of hardwood is an important factor in reducing cost at a wood-flooring manufacturing company. Accordingly, engineers at Lumberworks are investigating a potential new cutting method involving lateral sawing that may reduce the scrap rate. To examine its viability, samples of 500 and 400 planks, respectively, were examined under the old and new methods. Sixty-one of the 500 planks were scrapped under the old method, whereas 31 of the 400 planks were scrapped under the new...
Sign In INNOVATION Deep Change: How Operational Innovation Can Transform Your Company by Michael Hammer From...
Sign In INNOVATION Deep Change: How Operational Innovation Can Transform Your Company by Michael Hammer From the April 2004 Issue Save Share 8.95 In 1991, Progressive Insurance, an automobile insurer based in Mayfield Village, Ohio, had approximately $1.3 billion in sales. By 2002, that figure had grown to $9.5 billion. What fashionable strategies did Progressive employ to achieve sevenfold growth in just over a decade? Was it positioned in a high-growth industry? Hardly. Auto insurance is a mature, 100-year-old industry...
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT