a) What is the formula you will need to use?b) Complete the calculationsc) What is your final sample size? Flossing helps prevent tooth decay and gum disease. Reportssuggest that millions of Americans never floss. You want toconduct a sample survey to determine what percent of studentsat your university never floss. You obtain permission to use theuniversity roster to contact a simple random sample (SRS) ofstudents. You want to estimate the proportion p of students whonever floss with 90% confidence and a margin of error nogreater than 3% (0.03). Assume that the proportion ofindividuals who never floss is 27%. How large a sample do youneed?

here given , confidence level = 90% margin of error < 0.03 p = proportion of individuals who…

Answered: greater than 3% (0.03). Assume that the…

greater than 3% (0.03). Assume that the proportion of individuals who never floss is 27%. How large a sample do you need?

Holt Mcdougal Larson Pre-algebra: Student Edition 2012

1st Edition

ISBN:9780547587776

Author:HOLT MCDOUGAL

Publisher:HOLT MCDOUGAL

Chapter11: Data Analysis And Probability

Section11.4: Collecting Data

Problem 5E

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Question

a) What is the formula you will need to use?

b) Complete the calculations

c) What is your final sample size?

Flossing helps prevent tooth decay and gum disease. Reports
suggest that millions of Americans never floss. You want to
conduct a sample survey to determine what percent of students
at your university never floss. You obtain permission to use the
university roster to contact a simple random sample (SRS) of
students. You want to estimate the proportion p of students who
never floss with 90% confidence and a margin of error no
greater than 3% (0.03). Assume that the proportion of
individuals who never floss is 27%. How large a sample do you
need?

Definition Definition Number of subjects or observations included in a study. A large sample size typically provides more reliable results and better representation of the population. As sample size and width of confidence interval are inversely related, if the sample size is increased, the width of the confidence interval decreases.

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