Solution Found!

The Practice of Statistics | 5th Edition | ISBN: 9781464108730 | Authors: Daren S. Starnes, Josh Tabor
Change Question

Can you taste PTC? PTC is a substance that has a strong bitter taste for some people and

Chapter 8, Problem 43

(choose chapter or problem)

Get Unlimited Answers
QUESTION:

Can you taste PTC? PTC is a substance that has a strong bitter taste for some people and is tasteless for others. The ability to taste PTC is inherited. About 75% of Italians can taste PTC, for example. You want to estimate the proportion of Americans who have at least one Italian grandparent and who can taste PTC. (a) How large a sample must you test to estimate the proportion of PTC tasters within 0.04 with 90% confidence? Answer this question using the 75% estimate as the guessed value for p^. (b) Answer the question in part (a) again, but this time use the conservative guess p^ = 0.5. By how much do the two sample sizes differ?

Questions & Answers

QUESTION:

Can you taste PTC? PTC is a substance that has a strong bitter taste for some people and is tasteless for others. The ability to taste PTC is inherited. About 75% of Italians can taste PTC, for example. You want to estimate the proportion of Americans who have at least one Italian grandparent and who can taste PTC. (a) How large a sample must you test to estimate the proportion of PTC tasters within 0.04 with 90% confidence? Answer this question using the 75% estimate as the guessed value for p^. (b) Answer the question in part (a) again, but this time use the conservative guess p^ = 0.5. By how much do the two sample sizes differ?

ANSWER:

Step 1 of 4

(a)

Given data:

The sample proportion given:

The margin of error:

 

Add to cart

Study Tools You Might Need

Chapter: 3 Problem: 84P

Introductory Chemistry 5
A lead fishing weight with a mass of 57 g absorbs 146 cal of heat. If its initial temperature is \(47\ ^{\circ}\mathrm{C}\), what is its final temperature? Equation Transcription: Text Transcription: 47

Chapter: 10 Problem: 89P

Introductory Chemistry 5
Classify each molecule as polar or nonpolar. (a) \(C S_{2}\) (b) \(\mathrm{SO}_{2}\) (c) \(\mathrm{CH}_{4}\) (d) \(\mathrm{CH}_{3} \mathrm{Cl}\) Equation Transcription: Text Transcription: CS_2 SO_

Chapter: 2 Problem: 2.83

Sears and Zemansky's University Physics with Modern Physics 13
Problem 83P Visitors at an amusement park watch divers step off a platform 21.3 m (70 ft) above a pool of water. According to the announcer. the divers enter the water at a speed of 56 mi/h (25 m/s). Air resistance may be ignored. (a) Is the announcer correct in this claim? (b) Is it possible for a

Chapter: 9 Problem: 35

Fundamentals of Statistics 4
Chebyshevs Inequality In December 2010, the average price of regular unleaded gasoline excluding taxes in the United States was $3.06 per gallon, according to the Energy Information Administration. Assume that the standard deviation price per gallon is $0.06 per gallon to answer the following. (a) W

Chapter: 11 Problem: 35AYU

Fundamentals of Statistics 4
On-Time Flights According to flightstats.com, American Airlines flights from Dallas to Chicago are on time 80% of the time. Suppose 15 flights are randomly selected, and the number of on-time flights is recorded. (a) Explain why this is a binomial experiment. (b) Find and interpret the probability th

Chapter: Problem: 6.2

OpenIntro Statistics 3
About 77 % of young adults think they can achieve the American dream. Determine if the following statements are true or false, and explain your reasoning. (a) The distribution of sample proportions of young Americans who think they can achieve the American dream in samples of size 20 is left skewed

Chapter: 9 Problem: 1

Biology 11
Where is chlorophyll located in the chloroplast? (a) thylakoid membranes (b) stroma (c) matrix (d) thylakoid lumen (e) between the inner and outer membranes

Chapter: 16 Problem: 37

Biochemistry 9
Suppose that a polymer of glucose with alternating \(\alpha(1 \rightarrow 4)\) and \(\beta(1 \rightarrow 4)\) glycosidic linkages has just been discovered. Draw a Haworth projection for a repeating tetramer (two repeating dimers) of such a polysaccharide. Would you expect this polymer to have primari

Not The Solution You Need? Search for Your Answer Here:

×

Login

Login or Sign up for access to all of our study tools and educational content!

Forgot password?
Register Now

×

Register

Sign up for access to all content on our site!

Or login if you already have an account

×

Reset password

If you have an active account we’ll send you an e-mail for password recovery

Or login if you have your password back