Significance tests

1. A sample of 5,462 eighth-grade students were asked whether or not they actively participated in sports, athletics, or exercising on a nearly daily basis. Of the students who responded, 2,998 said yes. (These data were from a Monitoring the Future survey.) a. Determine the sample proportion of eighth-grade students who responded that they were involved nearly daily in some sort of physical activity. b. A physical education teacher claimed that over 50% of all eighth-grade students in America actively participate in physical activity on a nearly daily basis. Set up a null hypothesis and an alternative hypothesis to test this claim. c. Conduct a significance test for the population proportion. Report the value of the test statistic, the p-value, and your conclusion