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The Blue Diamond Company advertises that their nut mix contains (by weight) 40% cashews, 15% Brazil nuts, 20% almonds and only 25% peanuts. The truth in advertising investigators took a random sample (of size 20 lbs) of the nut mix and found the distribution to be as follows: 6 lbs of Cashews, 5 lbs of Brazil nuts, 8 lbs of Almonds and 1 lbs of Peanuts. At the 0.05 level of significance, is the claim made by Blue Diamond true? Select the [test statistic, p-value, Decision to Reject (RH0) or Failure to Reject (FRH0)].
Solution:
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