A consumer wanted to find out how accurate Siri (an Apple digital assistant) is, so he asked questions on general facts and recorded how many Siri got right. Out of the 205 questions he asked Siri, Siri responded correctly to 62 of them. What is the estimate of the population proportion? What is the standard error of this estimate?

A sample proportion is calculated from a sample size of 132. How large of a sample would we need in order to decrease the standard error by a factor of 9?

For this problem, carry at least four digits after the decimal in your calculations. Answers may vary slightly due to rounding.The National Council of Small Businesses is interested in the proportion of small businesses that declared Chapter 11 bankruptcy last year. Since there are so many small businesses, the National Council intends to estimate the proportion from a random sample. Let p be the proportion of small businesses that declared Chapter 11 bankruptcy last year.

Complete part C. C. Compute an estimate of the population parameter.  Telephone survey of 2980 adults in certain country, 27% reported they own least one gun. Researchers want to estimate the true percentage of adults in that country that own at least one gun.