After peering into a wishing well, Jocelyn hypothesizes that the distribution of coins is 50 percent quarters, 20 percent dimes, 20 percent nickels, and 10 percent pennies. To investigate this claim, she reaches in, mixes the coins well, and selects a random sample of 80 coins. She counts how many coins there are of each type. She would like to know if her observed distribution provides convincing evidence that the true distribution of coins in the well is different from what she originally thought. What are the appropriate hypotheses?
Answer
A
cap h sub 0 : Not all of the p sub i 's are as stated. cap h sub A : p sub quarter is equal to 0 point 5 , p sub dime is equal to 0 point 2 , p sub nickel is equal to 0 point 2 , p sub penny is equal to 0 point 1
B
cap h sub 0 : p sub quarter is equal to 0 point 5 , p sub dime is equal to 0 point 2 , p sub nickel is equal to 0 point 2 , p sub penny is equal to 0 point 1 cap h sub A : Not all of the p sub i 's are as stated.
C
cap h sub 0 : p sub quarter is equal to 40 , p sub dime is equal to 16 , p sub nickel is equal to 16 , p sub penny is equal to 8 cap h sub A : p sub quarter is not equal to 40 , p sub dime is not equal to 16 , p sub nickel is not equal to 16 , p sub penny is not equal to 8
D
cap h sub 0 : p sub quarter is not equal to 40 , p sub dime is not equal to 16 , p sub nickel is not equal to 16 , p sub penny is not equal to 8 cap h sub A : p sub quarter is equal to 40 , p sub dime is equal to 16 , p sub nickel is equal to 16 , p sub penny is equal to 8