After peering into a wishing well, Jocelyn hypothesizes that the distribution of coins is 50% quarters, 20% dimes, 20% nickels, and 10% 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 counts 50 quarters, 12 dimes, 14 nickels, and 4 pennies. 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 is the value of the chi-square test statistic and P-value?

Find the chi-square table here.

χ2 = 0.63, P-value is less than 0.0005
χ2 = 0.63, P-value is greater than 0.25
χ2 = 5.75, P-value is between 0.10 and 0.15
χ2 = 5.75, P-value is between 0.20 and 0.25