A number of initiatives on the topic of legalized gambling have appeared on state ballots. Suppose that a political candidate has decided to support legalization of casino gambling if he is convinced that more than twothirds of U.S. adults approve of casino gambling. USA Today (June 17, 1999) reported the results of a Gallup poll in which 1523 adults (selected at random from households with telephones) were asked whether they approved of casino gambling. The number in the sample who approved was 1035. Does the sample provide convincing evidence that more than two-thirds approve?

STAT-5615: Statistics in Research I Lecture 10 z-tests for Proportions Ott & Longnecker Ch 10.2, 10.3 Dr. Christian Lucero Virginia Tech Fall 2016 One Sample Hypothesis Test for the Population Proportion Many applications in health related research involve population proportions. I What proportion of the population smoke cigarettes I What proportion of the population has health insurance Estimating the population proportion (p) is similar to estimating the population mean. A sample is drawn and the sample proportion p is computed. Under the Central Limit Theorem, the sample proportion, p , has an approximate normal distribution with a mean p and a standard error r p(1▯