Question
One particular professional association of investors conducts a weekly survey of its members to measure the percent who are bullish, bearish, and neutral on the stock market for the next six months. The survey results showed 37.9% bullish, 22.6% neutral, and 39.5% bearish. Assume these results are based on a sample of 300 members.

(a)
Over the long term, the proportion of bullish members is 0.39. Conduct a hypothesis test at the 5% level of significance to see if the current sample results show that bullish sentiment differs from its long term average of 0.39. What are your findings?

Formulate the hypotheses that can be used to determine whether the bullish sentiment differs from its long term average of 0.39.
A.    H0: p ≥ 0.39
Ha: p < 0.39

B.     H0: p ≤ 0.39
Ha: p > 0.39

C.      H0: p = 0.39
Ha: p ≠ 0.39

D.      H0: p < 0.39
Ha: p ≥ 0.39

E.       H0: p > 0.39
Ha: p ≤ 0.39

Find the value of the test statistic. (Round your answer to two decimal places.)
______________________.

p-value =___________________.

What is your conclusion? (multiple choice)

A.    Do not reject H0. There is sufficient evidence to conclude that the bullish sentiment differs from its long term average of 0.39.
B.     Do not reject H0. There is insufficient evidence to conclude that the bullish sentiment differs from its long term average of 0.39.     C.      Reject H0. There is insufficient evidence to conclude that the bullish sentiment differs from its long term average of 0.39.
D.      Reject H0. There is sufficient evidence to conclude that the bullish sentiment differs from its long term average of 0.39.

(b)
Over the long term, the proportion of bearish members is 0.30. Conduct a hypothesis test at the 1% level of significance to see if the current sample results show that bearish sentiment is above its long term average of 0.30. What are your findings?

Formulate the hypotheses that can be used to determine whether the current bearish sentiment is above its long term average of 0.30.(multiple choice)
A.     H0: p > 0.30
Ha: p ≤ 0.30

B.      H0: p < 0.30
Ha: p ≥ 0.30

C.      H0: p ≤ 0.30
Ha: p > 0.30

D.        H0: p ≥ 0.30
Ha: p < 0.30

E.        H0: p = 0.30
Ha: p ≠ 0.30
Find the value of the test statistic. (Round your answer to two decimal places.)
_________________.

p-value =______________________.

A.      Do not reject H0. There is insufficient evidence to conclude that the bearish sentiment is above its long term average of 0.30.
B.        Reject H0. There is sufficient evidence to conclude that the bearish sentiment is above its long term average of 0.30.
C.        Do not reject H0. There is sufficient evidence to conclude that the bearish sentiment is above its long term average of 0.30.
D.        Reject H0. There is insufficient evidence to conclude that the bearish sentiment is above its long term average of 0.30.

(c)
Would you feel comfortable extending these results to all investors? Why or why not?(multiple chocie)

A.      Yes. One should feel comfortable extending these results to all investors. The association contains investors. Therefore, it is fine to generalize these results to all investors.
B.       Yes. One should feel comfortable extending these results to all investors. Members of this professional association may be different from other types of investors. Therefore, it is fine to generalize these results to all investors.
C.         No. One should not feel comfortable extending these results to all investors. Members of this professional association may be different from other types of investors. Therefore, it would be dangerous to generalize these results to all investors.
D.        No. One should not feel comfortable extending these results to all investors. All investors must be a member of this professional association. Therefore, it is dangerous to generalize these results to all investors.