Null Hypothesis, Alternative Hypothesis, Critcal value, value of test statistic, and p value?

82% of college students leaders are extroverts. Test was given to a random sample of 73 student government leaders, and 56 were found to be extroverts. Conduct a hypothesis test to determine if this sample suggest that the proportion of extravert's among students government leaders is less than 82%. Use a significance level of a= .01





State null hypothesis


State alternative hypothesis


Find Critical value


Find the value of the test statistic


Find P value|||Ho: p = .82


Ha: p %26lt; .82





Critical value


p-hat - .82 = -1.645


__________


square root of ((.82(1-.82))/73)





critical value = 0.746 --%26gt; in context of problem, 54





To find these, do a 1-prop z test on graphing calculator and plug in .82 for Po, 56 for x, and 73 for n, and prop %26lt; Po.


Test statistic = -1.176


P value = 0.1198


Hope it helped =)