Question

n 2011, a U.S. Census report determined that 71% of college students work. A researcher thinks this percentage has changed since then. A survey of 110 college students reported that 91 of them work. Is there evidence to support the reasearcher's claim at the 1% significance level? A normal probability plot indicates that the population is normally distributed.

a) Determine the null and alternative hypotheses.

H0: p=

Ha: p Select an answer not = ,< ,>   (Put in the correct symbol and value)

b) Determine the test statistic. Round to two decimals.

z=

c) Find the p-value. Round to 4 decimals.

P-value =

d) Make a decision.

• Fail to reject the null hypothesis
• Reject the null hypothesis

e) Write the conclusion.

• There is not sufficient evidence to support the claim that the percentage of college students who work is different than 71%.
• There is sufficient evidence to support the claim that the percentage of college students who work is different than 71%.

Answer 1

Solution - 230.01 D=110, X=91 x gi 008273 s llo Q Neell and Alternative hypothesis Ho: p=0.71 Haip 30.71 b) test statistic is, Za å-p PG-p) 0.8273 -0.71 0.7141-0.71) 110 Zo 0.1173 0:0433 2=2.71 c) p-value = petzl < Z= 2:71) = 0.0067 p-value <x=0.01 d) decision : - Rejeet the bali bypothesis e> There is not sufficient evidence to support the claim that the percentage of college students who work is different than 71% Csdanned with CamScanner