Explain the meaning of the phrase 95% confident for the given statement.

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Answer 1

Question

Chapter 7, Problem 118UP

To determine

Explain the meaning of the phrase 95% confident for the given statement.

Expert Solution & Answer

Explanation of Solution

The statement is “We are 95% confident that the proportion of all PCs with a computer virus falls between 0.12 and 0.18.”

The meaning of the phrase 95% confident is that the samples were taken many times and the 95% confidence intervals for proportion of all PCs with a computer virus are constructed for each sample. Then, there is 95% chance that the true value of proportion of all PCs with a computer virus falls between 0.12 and 0.18.

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1 for all k, and set o (ii) Let X1, X2, that P(Xkb) = x > 0. Xn be independent random variables with mean 0, suppose = and Var Xk. Then, for 0x) ≤2 exp-tx+121 Στ k=1

Lemma 1.1 Suppose that g is a non-negative, non-decreasing function such that E g(X) 0. Then, E g(|X|) P(|X|> x) ≤ g(x)

Proof of this Theorem Theorem 1.2 (i) Suppose that P(|X| ≤ b) = 1 for some b > 0, that E X = 0, and set Var X = o². Then, for 0 0, P(X > x) ≤ e−1x+1²², P(|X|> x) ≤ 2e−x+1² 0²

Answer 2

Question

Chapter 7, Problem 118UP

To determine

Explain the meaning of the phrase 95% confident for the given statement.

Expert Solution & Answer

Explanation of Solution

The statement is “We are 95% confident that the proportion of all PCs with a computer virus falls between 0.12 and 0.18.”

The meaning of the phrase 95% confident is that the samples were taken many times and the 95% confidence intervals for proportion of all PCs with a computer virus are constructed for each sample. Then, there is 95% chance that the true value of proportion of all PCs with a computer virus falls between 0.12 and 0.18.

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Answer 3

Question

Chapter 7, Problem 118UP

To determine

Explain the meaning of the phrase 95% confident for the given statement.

Expert Solution & Answer

Explanation of Solution

The statement is “We are 95% confident that the proportion of all PCs with a computer virus falls between 0.12 and 0.18.”

The meaning of the phrase 95% confident is that the samples were taken many times and the 95% confidence intervals for proportion of all PCs with a computer virus are constructed for each sample. Then, there is 95% chance that the true value of proportion of all PCs with a computer virus falls between 0.12 and 0.18.

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Answer 4

Question

Chapter 7, Problem 118UP

To determine

Explain the meaning of the phrase 95% confident for the given statement.

Expert Solution & Answer

Explanation of Solution

The statement is “We are 95% confident that the proportion of all PCs with a computer virus falls between 0.12 and 0.18.”

The meaning of the phrase 95% confident is that the samples were taken many times and the 95% confidence intervals for proportion of all PCs with a computer virus are constructed for each sample. Then, there is 95% chance that the true value of proportion of all PCs with a computer virus falls between 0.12 and 0.18.

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Subscribe now to access step-by-step solutions to millions of textbook problems written by subject matter experts!

Answer 5

Chapter 7, Problem 118UP

To determine

Explain the meaning of the phrase 95% confident for the given statement.

Expert Solution & Answer

Explanation of Solution

The statement is “We are 95% confident that the proportion of all PCs with a computer virus falls between 0.12 and 0.18.”

The meaning of the phrase 95% confident is that the samples were taken many times and the 95% confidence intervals for proportion of all PCs with a computer virus are constructed for each sample. Then, there is 95% chance that the true value of proportion of all PCs with a computer virus falls between 0.12 and 0.18.

Answer 6

Chapter 7, Problem 118UP

To determine

Explain the meaning of the phrase 95% confident for the given statement.

Expert Solution & Answer

Explanation of Solution

The statement is “We are 95% confident that the proportion of all PCs with a computer virus falls between 0.12 and 0.18.”

The meaning of the phrase 95% confident is that the samples were taken many times and the 95% confidence intervals for proportion of all PCs with a computer virus are constructed for each sample. Then, there is 95% chance that the true value of proportion of all PCs with a computer virus falls between 0.12 and 0.18.

Answer 7

Chapter 7, Problem 118UP

To determine

Explain the meaning of the phrase 95% confident for the given statement.

Answer 8

Expert Solution & Answer

Explanation of Solution

The statement is “We are 95% confident that the proportion of all PCs with a computer virus falls between 0.12 and 0.18.”

The meaning of the phrase 95% confident is that the samples were taken many times and the 95% confidence intervals for proportion of all PCs with a computer virus are constructed for each sample. Then, there is 95% chance that the true value of proportion of all PCs with a computer virus falls between 0.12 and 0.18.