Answer:
Step-by-step explanation:
19 of 22 participants (86.36%) from the high-power posing group took a gambling risk to double their money, while 12 of 20 (60%) from the low-power posing group took the gambling risk. Use a calculator tool from Module 10 to determine the p-value associated with the hypothesis test examining if there is a statistically significant difference between the proportion of people willing to take risks in the two groups. Round to 3 decimal places
H0 : P1 - P2 = 0
H1 : P1 - P2 ≠ 0
P1 = 0.8636
P2 = 0.6
q1 = 1 - P1 = 0.1364
q2 = 1 - P2 = 0.4
Tstatistic = (p1 - p2) ÷ √(p1q1)/n1 + (p2q2)/n2]
Tstatistic = (0.8636-0.6) ÷ √0.01735432]
Tstatistic = 0.2636 ÷ 0.1317357
Test statistic = 2.0009761
Test statistic = 2
The Pvalue from t statistics :
Tscore = 2 ; df = 20 + 22 - 2 = 40