The quality control engineer at a bottling plant keeps track of the number of bottles that are either overfilled or underfilled.  She  believes that the percentage of such bottles is less than 4%.  To examine the issue she selects 400 bottles and counts the number of overfilled and underfilled bottles.  She finds the number of underfilled bottles is 3 and number of overfilled bottles is 9.  At 6% level of significance, the conclusion is:     a. that there is sufficient evidence to conclude that she is right.   b. that there is sufficient evidence to conclude that she is right when in fact such evidence may not exist.    c. that there is not sufficient evidence to conclude that she is right when in fact such evidence may exist.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter4: Equations Of Linear Functions
Section: Chapter Questions
Problem 8SGR
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The quality control engineer at a bottling plant keeps track of the number of bottles that are either overfilled or underfilled.  She  believes that the percentage of such bottles is less than 4%.  To examine the issue she selects 400 bottles and counts the number of overfilled and underfilled bottles.  She finds the number of underfilled bottles is 3 and number of overfilled bottles is 9.  At 6% level of significance, the conclusion is:  

  a.

that there is sufficient evidence to conclude that she is right.

  b.

that there is sufficient evidence to conclude that she is right when in fact such evidence may not exist. 

  c.

that there is not sufficient evidence to conclude that she is right when in fact such evidence may exist. 

  d.

that there is not sufficient evidence to conclude that she is right.

  e.

that more information is needed to analyze this problem. 

 

  1. The p-value is:

      a.

    0.1335.

      b.

    0.1539.

      c.

    0.3461.

      d.

    0.0207.

      e.

    approximately zero.

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