According to the Statistical Abstract of the United States, in 2007, approximately 43% of sixth grade students reported being bullied at school. Due to increased education and outreach, educators are convinced that the proportion of students being bullied at school has decreased. In a recent random sample of 75 sixth grade students, 30 responded that they experienced bullying at school. At the 5% level of significance, what can you conclude?

Answer parts (a) through (i).

3(a). Determine the Hypotheses: State the null and alternative hypotheses in words and in math notation.

3(b). Collect the Data. Enter values as decimals or whole numbers.

p₀ =

p^ =

n =

=

3(c) Form of H_a: [ Select: ">", "", "<"]

What test will you perform? [ Select: "two-tailed", "left-tailed", "right-tailed"]

3(d). Assess the Evidence:

(1) Calculate the mean, p^ and standard error, p^. Round values to 3 decimal places, if needed.

(2) Calculate the test statistic T.S. Round to 2 decimal places.

Is the test statistic unusual? Why?

Attach your calculations, otherwise no credit.

3(e)

-Check your calculations. Enter value of the standard error, p^.

-Check your calculations. Enter value of the test statistic, T.S.

-Use the test statistic to find the P-value. Round your answer to 3 decimal places.

3(f). State a Conclusion.

Compare the P-value with the level of significance:

P-value: ["=", "", ">", "<"]

Conclusion: ["accept", "fail to reject", "fail to accept", "reject"]

H₀, ["fail to reject", "fail to accept", "reject", "accept"] H_a.

3(g). Interpret your decision in the context of the problem.