Using the entire data set of 65 stocks, count up the number of stocks in your...

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Statistics

  1. Using the entire data set of 65 stocks, count up the number ofstocks in your data that have a high stock pricethat is at least $20. State this value here:___28____. (is it)?

Verify this by copying thestem-and-leaf display for the high prices below.

Stem and Leaf Plot of high

Leaf Digit Unit = 10 Minimum 0.1100

4 3 represents 430     Median  26.400

                                               Maximum 430.80

Depth      Stem        Leaves

(46)          0          0000000000000000000111111111222222222333334444

   19          0          556667888

   10          1          00334

   5           1          567

   2           2           0

   1           2          

   1           3          

   1           3          

   1           4           3

65 cases included   0 missing cases  

  1. Suppose it is desired to determine if the truepercentage of all stocks that have high prices that are atleast $20 differs from 40%. Is the sample sizelarge enough to conduct this test? Why or why not? Show yourcalculations for full credit!
  1. Use the table on the next page to locate the number of yourstocks with high prices of at least $20 in yoursample. Use the table to locate the Test Statistic that you shoulduse for this test and write it here:

Test Statistic: 0.51

  1. Give the rejection region for this test (you choose anacceptable level for a).

  1. In the words of the problem, give a practical conclusion forthis test. Make sure to include your choice of α in thisconclusion.

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