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julsineya [31]
3 years ago
11

Express the confidence interval 0.333less thanpless than0.555 in the form ModifyingAbove p with caret plus or minus Upper E. Mod

ifyingAbove p with caret plus or minus Upper Eequals nothingplus or minus nothing
Mathematics
1 answer:
elena-14-01-66 [18.8K]3 years ago
7 0

Answer:

The confidence interval is (0.444 ± 0.111).

Step-by-step explanation:

The general form of a confidence interval for single proportion is: (\hat p- E

The interval provided is: (0.333 < p < 0.555)

Then

\hat p-E=0.333...(i)\\\hat p + E = 0.555...(ii)

Solving the two equation simultaneously:

Add (i) and (ii),

2\hat p=0.888\\\hat p=\frac{0.888}{2}\\ =0.444

Substitute the value of \hat p in (i) to compute the value of <em>E:</em>

\hat p-E=0.333\\0.444-E=0.333\\E=0.444-0.333\\=0.111

Thus, the confidence interval is,

(0.444-0.111

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