Statistic

The county sheriff's office wanted to estimate with 95 percent confidence the proportion of households in its county that have installed an alarm system. The sheriff's office selected a random sample of households in its county and used the sample to estimate the proportion of all households that have installed an alarm system. The conditions for calculating a 95 percent confidence interval were checked and verified, and the resulting confidence interval was 0.617 + 0.119. a. Interpret the 95 percent confidence level in this context. b. Simplisafe (a home security company) claimed that 55 percent of all American households have installed an alarm system. Does the sheriff's office's interval estimate provide evidence that the proportion of households that have installed an alarm system in this county is different from the claimed national proportion? Explain. Edit View Insert Format Tools Table