Many investors and financial analysts believe the Dow Jones Industrial Average (DJIA) gives a good barometer of the overall stock market. On January 31, 2006, 9 of the 30 stocks making up the DJIA...


Many investors and financial analysts believe the Dow Jones Industrial Average (DJIA) gives a good barometer of the overall stock market. On January 31, 2006, 9 of the 30 stocks making up the DJIA increased in price (The Wall Street Journal, February 1, 2006). On the basis of this fact, a financial analyst claims we can assume that 30% of the stocks traded on the New York Stock Exchange (NYSE) went up the same day.


A sample of 80 stocks traded on the NYSE that day showed that 26 went up.


You are conducting a study to see if the proportion of stocks that went up is is significantly more than 0.3. You use a significance level of α=0.002


What is the test statistic for this sample? (Report answer accurate to three decimal places.)

test statistic =



What is the p-value for this sample? (Report answer accurate to four decimal places.)

p-value =




The p-value is...




  • less than (or equal to) αα

  • greater than αα








This test statistic leads to a decision to...




  • reject the null

  • accept the null

  • fail to reject the null








As such, the final conclusion is that...




  • There is sufficient evidence to warrant rejection of the claim that the proportion of stocks that went up is is more than 0.3.

  • There is not sufficient evidence to warrant rejection of the claim that the proportion of stocks that went up is is more than 0.3.

  • The sample data support the claim that the proportion of stocks that went up is is more than 0.3.

  • There is not sufficient sample evidence to support the claim that the proportion of stocks that went up is is more than 0.3.


Jun 05, 2022
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