Minimum Sample Size Proportions

You want to estimate the proportion of residents that would vote in favor of proposed tax changes to within 0.01 with 95% confidence. How many residents should you sample?

• 1500

• 4800

• 4900

• 9604

A 2010 Gallup poll stated that about 74% of young adults said that they were registered to vote. I want to estimate the percent of students at Suffolk University who are registered to vote to within 4% with 95% confidence, how many should I sample?

• 462

• 5

• 6

• 601

European countries report that 46% of the labor force is female. Representatives from the Department of Labor want to estimate the proportion of US employees who are female to within 0.05 with 90% confidence. How many records should they sample?

• 9

• 269

• 382

• 385

Wildlife biologists found that 20% of deer ticks carried Lyme disease last summer. They want to estimate the proportion of deer ticks that carry Lyme disease this year to within 0.08 with 90% confidence. How many ticks should they sample?

• 151

• 97

• 68

• 106

It is believed that 60% of the population would prefer smoke-free areas in outdoor concert venues. You want to estimate the proportion of patrons that would like a smoke-free area in your new concert venue to within 6% with 80% confidence. How many people should you survey. Hint - z-star at 80% is 1.282.

• 109

• 110

• 114

• 115

A dermatologist wishes to estimate the proportion of young adults who apply sunscreen regularly before going out in the sun in the summer. Find the minimum sample size required to estimate the proportion to within 0.03, at 90% confidence.

• 88

• 8

• 1068

• 752

You want to create a 95% confidence interval for the proportion of students who participate in at least one extra curricular activity. In 2018 about 0.55 of students participated in extra curricular activities. Your estimate must be within 0.05 of the true proportion. How large of a sample should you take?

• 378

• 381

• 382

• 385

A environmental biologist must estimate the proportion of trees that are infected with a particular fungus to within 2% with 95% confidence. How many trees should they sample?

• 2401

• 1692

• 4148

• 25