Among the measurable goals set by the Jefferson County School Board (Golden, Colorado) is that more than 75% of community members will agree “that the Board of Education provides them regular opportunities to voice their views on school district matters.”In a survey of 200 randomly selected community members, 157 of the survey participants so indicated. Is this sufficient sample evidence to reject a skeptical null hypothesis that the proportion of all community members who would indicate this favorable view is not more than .75? Use a significance level of .05.
a. Show the competing hypotheses.
b. Compute the test statistic, z stat, and determine the critical value z c for the test. Report your conclusion.
c. Compute the pvalue for the sample result and use it to decide whether to reject the null hypothesis