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 51% of the stocks traded on the New York Stock Exchange (NYSE) went up the same day. A sample of 72 stocks traded on the NYSE that day showed that 33 went up. You are conducting a study to see if the proportion of stocks that went up is significantly different from 51%. You use a significance level of α=0.10α=0.10. For this study, we should use

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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 51% of the stocks traded on the New York Stock Exchange (NYSE) went up the same day. A sample of 72 stocks traded on the NYSE that day showed that 33 went up. You are conducting a study to see if the proportion of stocks that went up is significantly different from 51%. You use a significance level of α=0.10α=0.10.

    1. For this study, we should use               

 

    1. The null and alternative hypotheses would be:   
        H0H0:            (please enter a decimal)   
        H1H1:            (Please enter a decimal)   

 

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

 

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

 

    1. The p-value is     αα

 

    1. Based on this, we should      the null hypothesis.

 

  1. As such, the final conclusion is that ...
    • The sample data suggest that the populaton proportion is significantly different from 51% at αα = 0.10, so there is sufficient evidence to conclude that the proportion of stocks that went up is different from 51%
    • The sample data suggest that the population proportion is not significantly different from 51% at αα = 0.10, so there is not sufficient evidence to conclude that the proportion of stocks that went up is different from 51%.
    •  
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