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8234 3) 460 randomly selected light tnalbe were ested in a leorasory, 315 lasted

ID: 3362799 • Letter: 8

Question

8234 3) 460 randomly selected light tnalbe were ested in a leorasory, 315 lasted re thousan Point estimate of the Proportion of all light h11-that last A) 0.685 man sro ,own 8) 0.315 C) 0 683 D 0.406 Use the given degree of contidence and sample dats to construct a contidence 4) n-107, x-51; 88% confidence interval for the pos C) 0.402 p0.552 0.398p 0.55 D) 0.401 p0.553 5) When 319 college students are randomly selected and surveyed, it is found that 120e a 99% confidence interval for the true proportion of all college students who own a A) 0.332

Explanation / Answer

Result:

4 questions answered.

6).

For 90%, z=1.645

d=3.7

sd=28

Sample size = (z2*s2)/d2

= (1.6452*282)/3.72

=154.968

The sample size required= 155

7).

1.881

8).

P=0.89

For 95%, z=1.96

d=0.04

Sample size = (z2*p*(1-p))/d2

= (1.962*0.89*0.11)/0.042

=235.05

The sample size required= 236

9).

P=0.5( assumed)

For 94%, z=1.881

d=0.04

Sample size = (z2*p*(1-p))/d2

= (1.8812*0.5*0.5)/0.042

=552.83

The sample size required=553

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