Suppose an article describes results from a representative

Last updated: 12/4/2023

Suppose an article describes results from a representative sample of American adults in 2018 and an independently selected representative sample of American adults taken in 2019 Survey participants were asked the following question If you could live anywhere you wished where would you prefer to live in a big city small city suburb of a big city suburb of a small city or in a town or rural area In 2018 394 of the 1 000 people surveyed selected town or rural area In 2019 489 of the 1 000 people surveyed selected town or rural area Use a significance level of 0 01 to determine if there is convincing evidence that the proportion of all American adults who prefer to live in a rural area increased from 2018 to 2019 Let p be the population proportion of American adults in 2018 who prefer to live in a rural area and p be the population proportion of American adults in 2019 who prefer to live in a rural area LAUSE SALT State the appropriate null and alternative hypotheses Enter for as needed Ho H Find the test statistic Round your answer to two decimal places MY NOTES Use technology to find the P value Round your answer to four decimal places P value State your conclusion Fail to reject Ho We have convincing evidence that the proportion of all American adults who prefer to live in a rural area increased from 2018 to 2019 Reject Ho We do not have convincing evidence that the proportion of all American adults who prefer to live in a rural area increased from 2018 to 2019 Fail to reject Ho We do not have convincing evidence that the proportion of all American adults who prefer to live in a rural area increased from 2018 to 2019 Reject Ho We have convincing evidence that the proportion of all American adults who prefer to live in a rural area increased from 2018 to 2019