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is Question: 1 pt 3 of 5 (0 complete) | > | This Quiz: 5 pts poss Question Help

ID: 3335277 • Letter: I

Question

is Question: 1 pt 3 of 5 (0 complete) | > | This Quiz: 5 pts poss Question Help * During a period of 11 years 1480 of the people selected for grand jury duty were sampled, and 35% of them were immigrants Use the sample data to construct a % confidence interval estimate of the proportion of grand jury members who were immigrants. Given that among the people eligible for jury duty, 42 3% of them were immigrants, does it appear that the jury selection process was somehow biased against immigrants? D- p

Explanation / Answer

Here we want to obtain 99% confidence interval for population proportion ( P )

Let' write given information.

Sample size = n = 1480

Number of success = x = 0.35*1480 = 510

Confidence = c = 99%

Let's used minitab to construct confidence interval for population proportion ( P )

Step 1) Click on Stat>>>Basic statistics>>>1-proportion...

Step 2) select summarized data

number of events = x = 510

Number of trials = n = 1480

Step 3) click on option

The given confidence level is = 99.0

so put "Confidence level " = 99.0

Alternative = not equal

then click on "Use test and interval based on normal approximation"

Then click on OK and again click on OK

So we get the following output

Sample X N Sample p 99% CI
1 510 1480 0.344595 (0.312775, 0.376414)

Using the normal approximation.

From the above output the 99% confidence interval for P is 0.313 < P < 0.376

See 0.423 is not included in the 99% confidence interval of P so the answer of the question is No.

The correct choice is B ) NO