Question

use the hypothesis testing: identify null and alternative hypotheses flow chart interactive to answer the following question. which one of the following is the symbolic form of the claim that \at least 60% of adults vote\? choose the correct answer below. a. ( pgeq0.60 ) b. ( p > 60 ) c. ( mugeq0.60 ) d. ( mugeq60 )

Explanation:

• Symbol for proportion: In hypothesis testing for proportions, the symbol \(p\) is used to represent the population proportion. The symbol \(\mu\) is used for the population mean, so options C (\(\mu\geq0.60\)) and D (\(\mu\geq60\)) can be eliminated since the claim is about a proportion (percentage of adults voting), not a mean.
• Interpretation of "at least": The phrase "at least" means greater than or equal to. Also, when dealing with proportions in decimal form, \(60\%=0.60\). Option B (\(p > 60\)) is incorrect because it has the wrong numerical form (should be \(0.60\) instead of \(60\)) and does not include the "equal to" part of "at least".

Answer:

A. \(p\geq0.60\)