Question

The critical value for a 99.7% confidence interval for p with a sample size n = 100 is...?

Please explain ! Step by step

Answer 1

Answer :

given data :-

confidence interval = 99.7%

= 99.7/100

   C = 0.997

a sample size = 100

n = 100

• now we need to find out the degree of freedom

we know that,

degree of freedom => Df = n-1

= 100-1

Df = 99

• now we find out the t/2 value

we know that = 1 - C

= 1-0.997

= 0.003

  t/2 = 0.003/2

= 0.0015

• now we using the t distribution

let,

t_{(t/2 , n)} = t_{(0.0015 , 99)} ( using the t table )

= 3.390