Many investors and financial analysts believe the Dow Jones Industrial Average (DJIA) gives a good barometer of the overall stock market. On January 31, 2017, 9 of the 30 stocks making up the DJIA increased in price. On the basis of this fact, a financial analyst claims we can assume that 76% of the stocks traded on the New York Stock Exchange (NYSE) went up the same day. A sample of 61 stocks traded on the NYSE that day showed that 43 went up. You are conducting a study to see if the proportion of stocks that went up is significantlysmaller than 76%. You use a significance level of α=0.01α=0.01. For this study, we should use Select an answer 2-SampTInt 2-PropZInt 1-PropZInt T-Test χ²GOF-Test 2-SampTTest 2-PropZTest TInterval ANOVA 1-PropZTest χ²-Test The null and alternative hypotheses would be: H0H0: ? p μ Select an answer > = < ≠ (please enter a decimal) H1H1: ? p μ Select an answer ≠ = > < (Please enter a decimal) The test statistic = (please show your answer to 3 decimal places.) The p-value = (Please show your answer to 4 decimal places.) The p-value is ? > ≤ αα Based on this, we should Select an answer accept reject fail to reject the null hypothesis. As such, the final conclusion is that ... The sample data suggest that the populaton proportion is significantly smaller than 76% at αα = 0.01, so there is sufficient evidence to conclude that the proportion of stocks that went up is smaller than 76% The sample data suggest that the population proportion is not significantly smaller than 76% at αα= 0.01, so there is not sufficient evidence to conclude that the proportion of stocks that went up is smaller than 76%.

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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Many investors and financial analysts believe the Dow Jones Industrial Average (DJIA) gives a good barometer of the overall stock market. On January 31, 2017, 9 of the 30 stocks making up the DJIA increased in price.
On the basis of this fact, a financial analyst claims we can assume that 76% of the stocks traded on the New York Stock Exchange (NYSE) went up the same day. A sample of 61 stocks traded on the NYSE that day showed that 43 went up. You are conducting a study to see if the proportion of stocks that went up is significantlysmaller than 76%. You use a significance level of α=0.01α=0.01.

For this study, we should use Select an answer 2-SampTInt 2-PropZInt 1-PropZInt T-Test χ²GOF-Test 2-SampTTest 2-PropZTest TInterval ANOVA 1-PropZTest χ²-Test

The null and alternative hypotheses would be:
  H0H0: ? p μ Select an answer > = < ≠ (please enter a decimal)
  H1H1: ? p μ Select an answer ≠ = > < (Please enter a decimal)

The test statistic = (please show your answer to 3 decimal places.)

The p-value = (Please show your answer to 4 decimal places.)

The p-value is ? > ≤ αα

Based on this, we should Select an answer accept reject fail to reject the null hypothesis.

As such, the final conclusion is that ...
- The sample data suggest that the populaton proportion is significantly smaller than 76% at αα = 0.01, so there is sufficient evidence to conclude that the proportion of stocks that went up is smaller than 76%
- The sample data suggest that the population proportion is not significantly smaller than 76% at αα= 0.01, so there is not sufficient evidence to conclude that the proportion of stocks that went up is smaller than 76%.

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Consider that p is the true population proportion of stocks that went up.

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