Independent random samples of n1 = 700 and n2 = 520 observations were selected from binomial...

Independent random samples of

n₁ = 700

and

n₂ = 520

observations were selected from binomial populations 1 and 2, and

x₁ = 335

and

x₂ = 378

successes were observed.

(a) Find a 90% confidence interval for the difference (p₁ − p₂) in the two population proportions. (Round your answers to three decimal places.)

Solutions

Expert Solution

We have given,

x1=335
n1=700

x2=378
n2=520

Level of significance =   0.1
Z critical value (by using Z table)=1.645
Estimate for sample proportion 1

Estimate for sample proportion 2

Confidence interval formula is

=(-0.293,-0.204)


Lower limit for confidence interval=-0.293

Upper limit for confidence interval is=   -0.204

orchestra answered 1 year ago

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