The American Association of Individual Investors (AAII) 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. For the week ending March 27, 2019, the survey results showed 33.2% bullish, 39.6% neutral, and 27.2% bearish. Assume these results are based on a sample of 300 AAII members. a. Over the long-term, the proportion of bullish AAII members is 0.385. 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 0.385. what are your findings? Но: р Select your answer Hạ: p - Select your answer - p-value: (to 4 decimals) We Select your answer - v that bullish sentiment differs significantly from its long-term average of 0.385. b. Over the long-term, the proportion of bearish AAII members is 0.31. 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 0.31. What are your findings? Ho: p - Select your answer - Ha: p - Select your answer - p-value: (to 4 decimals) We - Select your answer - v that bearish sentiment is greater than its long-term average of 0.31. c. Would you feel comfortable extending these results to all investors? Why or why not? I. 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. II. 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. III. 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. IV. Yes. One should feel comfortable extending these results to all investors. Members of this professional association may be different from other types of
Inverse Normal Distribution
The method used for finding the corresponding z-critical value in a normal distribution using the known probability is said to be an inverse normal distribution. The inverse normal distribution is a continuous probability distribution with a family of two parameters.
Mean, Median, Mode
It is a descriptive summary of a data set. It can be defined by using some of the measures. The central tendencies do not provide information regarding individual data from the dataset. However, they give a summary of the data set. The central tendency or measure of central tendency is a central or typical value for a probability distribution.
Z-Scores
A z-score is a unit of measurement used in statistics to describe the position of a raw score in terms of its distance from the mean, measured with reference to standard deviation from the mean. Z-scores are useful in statistics because they allow comparison between two scores that belong to different normal distributions.
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