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, 6 lbs of Brazil nuts, 7 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 [p-value, Decision to Reject (RH0) or Failure to Reject (FRH0)].
a)[p-value = 0.030, RH0]
b)[p-value = 0.030, FRH0]
c)[p-value = 0.015, RH0]
d)[p-value = 0.003, FRH0]
e)[p-value = 0.003, RH0]