For a study of adolescents' disclosure of their dating and romantic relationships, a sample of 217 high school students was surveyed. One of the variables of interest was the level of disclosure to an adolescent's mother (measured on a 5-point scale, where 1 = "never tell" and 5 = "always tell"). The sampled high school students had a mean disclosure score of 3.33 and a standard deviation of 0.95. The researchers hypothesize that the true mean disclosure score of all adolescents will exceed 3. Do you believe the researchers? Conduct a formal test of hypothesis using alpha = 0.05.
A. Set up Ho and Ha for testing whether the true mean disclosure score of all adolescents exceeds 3.
Ho: mu <= 3
Ha: mu > 3
B. If alpha = 0.05, find the rejection region for the test.
Choose the correct answer below.
a. z > 1.96 or z < -1.96
b. z > 1.645
c. z > 1.645 or z < -1.645
d. z < -1.645
e. z < -1.96
f. z > 1.96
C. Calculate the value of the test stat. z = ? (round to two decimal places)
D. Make the appropriate conclusion from the options below.
a. Reject H0. There is sufficient evidence at the alpha = 0.05 level of significance to conclude that the true mean disclosure score of all adolescents exceeds 3.
b. Reject H0. There is insufficient evidence at the alpha = 0.05 level of significance to conclude that the true mean disclosure score of all adolescents exceeds 3.
c. Do not reject H0. There is insufficient evidence at the alpha = 0.05 level of significance to conclude that the true mean disclosure score of all adolescents exceeds 3.
d. Do not reject H0. There is sufficient evidence at the alpha = 0.05 level of significance to conclude that the true mean disclosure score of all adolescents exceeds 3.