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Many investors and financial analysts believe the Dow Jones Industrial

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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, 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 76 stocks traded on the NYSE that day showed that 29 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
=
0.001
α=0.001
.

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) α
-α
-greater than α
-α

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.

 
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