4) In 2010, 24% of children were dressed as Justin Bieber for Halloween. You wan

Question

4) In 2010, 24% of children were dressed as Justin Bieber for Halloween. You want to test whether or not this proportion increased in 2011 So, you Halloween in 2011 and 254 of them dressed up as Justin Bieber. Conduct a hypothesis test at the 5% level. Note: Follow the webassign homework problem style as well as the five step method to hypothesis testing. All steps leading to the answer and a graph must be clearly shown). conduct a study to test the claim. You randomly poll 1000 children who dressed up for b) Critical Value(s ) e) test value: (Round it to the nearest hundredth) d) p Value the null p value is_ e) Make the decision: or f) Conclusion/Address the claim

Explanation / Answer

B) critical values = + Z0.025 = - 1.96, 1.96

C) standard error = sqrt(0.24 * (1-0.24)/1000) = 0.0135

Test statistic = (254/1000 - 0.24) / 0.0135 = 1.04

D) P- value = 2 * P(Z > 1.04) = 2 * 0.1492 = 0.2984

E) do not reject the null hypothesis, because P-value is > significance level

F) there is not enough evidence to support the claim

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