Proctor & Gamble claims that at least half the bars of Ivory soap they produce are 99.44% pure (or more pure) as advertised. Unilever, one of Proctor & Gamble's competitors, wishes to put this claim to the test. They sample the purity of 112 bars of Ivory soap. They find that 53 of them meet the 99.44% purity advertised. What type of test should be run? z-test of a proportion t-test of a mean

MATLAB: An Introduction with Applications
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Author:Amos Gilat
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Proctor & Gamble claims that at least half the bars of Ivory soap they produce are 99.44% pure (or more pure) as advertised. Unilever, one of Proctor & Gamble's competitors, wishes to put this claim to the test. They sample the purity of 112 bars of Ivory soap. They find that 53 of them meet the 99.44% purity advertised.

What type of test should be run?
  • z-test of a proportion
  • t-test of a mean


The alternative hypothesis indicates a
  • two-tailed test
  • left-tailed test
  • right-tailed test


Calculate the p-value. 

Does Unilever have sufficient evidence to reject Proctor & Gamble's claim?
  • No
  • Yes
 
 
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