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 38.1% bullish, 22.2% neutral, and 39.7% 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.- \( H_0: p > 0.39 \) \( H_a: p \leq 0.39 \)- \( H_0: p = 0.39 \) \( H_a: p \neq 0.39 \)- \( H_0: p < 0.39 \) \( H_a: p \geq 0.39 \)- \( H_0: p = 0.39 \) \( H_a: p > 0.39 \)- \( H_0: p > 0.39 \) \( H_a: p \leq 0.39 \)- \( H_0: p \geq 0.39 \) \( H_a: p < 0.39 \)- \( H_0: p \leq 0.39 \) \( H_a: p > 0.39 \)Find the value of the test statistic. (Round your answer to two decimal places.)\[ \text{Test Statistic:} \]\[ \text{(Input box here)}\]Find the p-value. (Round your answer to four decimal places.)\[ p\text{-value} = \]\[ \text{(Input box here)}\]What is your conclusion?- \( \text{Do not reject } H_0. \) There is insufficient evidence to conclude that the bullish sentiment differs from its long-term average of 0.39.- \( \text{Reject } H_0. \) There is sufficient ### Hypothesis Testing for Bearish Sentiment**Scenario:** Over the long term, the proportion of bearish members is 0.30. Conduct a hypothesis test at the 1% level of significance to determine if the current sample results show that bearish sentiment is above its long-term average of 0.30.### Hypotheses FormulationSelect the appropriate hypotheses for the test:- \( H_0: p = 0.30 \) \( H_a: p \neq 0.30 \)- \( H_0: p > 0.30 \) \( H_a: p \leq 0.30 \)- \( H_0: p < 0.30 \) \( H_a: p \geq 0.30 \)- \( H_0: p = 0.30 \) \( H_a: p > 0.30 \)- \( H_0: p = 0.30 \) \( H_a: p < 0.30 \)### Calculations- **Find the value of the test statistic:** (Round your answer to two decimal places.)- **Find the p-value:** (Round your answer to four decimal places.)### ConclusionAnswer the following question based on your calculations:- **Reject \( H_0 \):** There is sufficient evidence to conclude that the bearish sentiment is above its long-term average of 0.30.- **Do not reject \( H_0 \):** There is sufficient evidence to conclude that the bearish sentiment is above its long-term average of 0.30.- **Reject \( H_0 \):** There is insufficient evidence to conclude that the bearish sentiment is above its long-term average of 0.30.- **Do not reject \( H_0 \):** There is insufficient evidence to conclude that the bearish sentiment is above its long-term average of 0.30.### Generalization to All InvestorsWould you feel comfortable extending these results to all investors? Why or why not?- **Yes:** The association contains investors. Therefore, it is fine to generalize these results to all investors.- **Yes:** Members of this professional association may be different from other types of investors. Therefore, it is fine to generalize these results to all investors.- **No:** Members of this professional association may

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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 38.1% pullish, 22.2% neutral, and 39.7% 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. O Ho: p > 0.39 H:ps 0.39 O Ho: p = 0.39 H:p+ 0.39 Ho:p< 0.39 H:P2 0.39 O Ho: P2 0.39 H:p< 0.39 O Ho:ps 0.39 H:p> 0.39 Find the value of the test statistic. (Round your answer to two decimal places.) Find the p-value. (Round your answer to four decimal places.) p-value -

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 38.1% pullish, 22.2% neutral, and 39.7% 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. O Ho: p > 0.39 H:ps 0.39 O Ho: p = 0.39 H:p+ 0.39 Ho:p< 0.39 H:P2 0.39 O Ho: P2 0.39 H:p< 0.39 O Ho:ps 0.39 H:p> 0.39 Find the value of the test statistic. (Round your answer to two decimal places.) Find the p-value. (Round your answer to four decimal places.) p-value -

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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