3) Coin-Toss Data- We had ____ sets of 30-flipped coin sets. Some used ONE coin and some 30 different coins. Conduct a hypothesis test on the proportion of HEADS using ONE coin versus proportion of HEADS using 30 coins. Is there a significant difference (5% level)?

t-Test = [(x-bar1 - x-bar2) -(1 - 2)] / sqrt ( s₁²/n1 + s₂²/n2)

To find the t-Critical we need the degrees of freedom (df) and the formula to calculate df is "hairy". As presented earlier, the simpler formula that is used by some statisticians: df = (n1 - 1) + (n2 - 1)

COIN TOSS RESULTS (IN WK4 POSTING ORDER)
STUDENT	HEADS	TAILS	METHOD	COIN
1	13	17	NEW COIN 30 TIMES	QUARTER
2	12	18	NEW COIN 30 TIMES	?
3	17	13	NEW COIN 30 TIMES	?
4	15	15	NEW COIN 30 TIMES	NICKEL
5	13	17	30 NEW/OLD COINS	MIXED
6	16	14	NEW COIN 30 TIMES	PENNY
7	17	13	NEW COIN 30 TIMES	NICKEL
8	19	11	NEW COIN 30 TIMES	PENNY
9	14	16	30 COINS NEW/ SAME	PENNIES
10	16	14	NEW COIN 30 TIMES	NICKEL
11	18	12	NEW COIN 30 TIMES	QUARTER
12	14	16	NEW COIN 30 TIMES	2-EURO
13	9	21	NEW COIN 30 TIMES	QUARTER
14	19	11	NEW COIN 30 TIMES	QUARTER
15	17	13	30 COINS NEW/ SAME	QUARTERS
16	13	17	30 COINS NEW/ VARIOUS	MIXED
17	17	13	30 NEW/OLD COINS	MIXED
18	15	15	30 COINS NEW/ VARIOUS	MIXED
19	12	18	NEW COIN 30 TIMES	?
20	16	14	NEW COIN 30 TIMES	5 PHILIPPINE PESO
21	14	16	NEW COIN 30 TIMES	GOLD DOLLAR
22	11	19	NEW COIN 30 TIMES	PENNY
23	15	15	30 COINS NEW/ VARIOUS	MIXED
24	11	19	30 NEW/OLD COINS	MIXED
TOTALS	353	367	720
%	0.49	0.51	1