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 68% of the stocks traded on the New York Stock Exchange (NYSE) went up the same day. A sample of 55 stocks traded on the NYSE that day showed that 35 went up. You are conducting a study to see if the proportion of stocks that went up is significantly different from 68%. You use a significance level of α=0.05α=0.05.   The null and alternative hypotheses would be:      H0H0: ? μ p  Select an answer = < > ≠   (please enter a decimal)      H1H1: ? μ p  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

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 10CYU
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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 68% of the stocks traded on the New York Stock Exchange (NYSE) went up the same day. A sample of 55 stocks traded on the NYSE that day showed that 35 went up. You are conducting a study to see if the proportion of stocks that went up is significantly different from 68%. You use a significance level of α=0.05α=0.05.

 

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