Question

a coin was tossed 400 times and the head turned up 216 times .Test the hypothesis that the coin is unbaised at 5% level of significance​

Answer 1

Answer:

0.54

Step-by-step explanation:

The coin is unbiased i.e., P = 0.5. = 0.54.

Answer 2

Answer:

Given

A coin is tossed 400 times and it turns up head 216 times

n = 400

P(probability) = 1/2

q = 1-1/2=1/2

X = number of success =216

Test statistics z = (O-E) / SE

O = observed head = 216

E = expected head = np = 400*1/2 = 200

SE = standard error = √ npq

=√ (400*1/2*1/2)

=√100

=10

Therefore z = (O-E) / SE

Z= 216-200/10

Z=16/10

Z= 1.6

the hypothesis that the coin is unbaised at 5% level of significance is 1.6