in june 2005, a cbs news/ny times poll asked a random sample of 1,111 u.s. adults the following question: \what do you think is the most important problem facing this country today?\ roughly 19% of those sampled answered he war in iraq\ (while the rest answered economy/jobs, terrorism, healthcare, etc.). exactly a year prior to this poll, in june of 2004, it was estimated that roughly 1 out of every 4 u.s. adults believed (at that time) that the war in iraq was the most important problem facing the country. we would like to test whether the 2005 poll provides significant evidence that the proportion of u.s. adults who believe that the war in iraq is the most important problem facing the u.s. has decreased since the prior poll. the following output is available for this test: test and cl for one proportion 95% upper sample x n sample p bound z-value p-value 1 211 1111 0.189919 0.209275 -4.62 0.000 which of the following is the best conclusion based on the output? a. o we have extremely strong evidence to reject h₀. b. o we have extremely strong evidence to reject hₐ. c. o we have moderately strong evidence to reject h₀. d. o there is a probability of 0 that h₀ is correct. e. o there is a probability of 0 that hₐ is correct.

Question

in june 2005, a cbs news/ny times poll asked a random sample of 1,111 u.s. adults the following question: \what do you think is the most important problem facing this country today?\ roughly 19% of those sampled answered 	he war in iraq\ (while the rest answered economy/jobs, terrorism, healthcare, etc.). exactly a year prior to this poll, in june of 2004, it was estimated that roughly 1 out of every 4 u.s. adults believed (at that time) that the war in iraq was the most important problem facing the country. we would like to test whether the 2005 poll provides significant evidence that the proportion of u.s. adults who believe that the war in iraq is the most important problem facing the u.s. has decreased since the prior poll. the following output is available for this test: test and cl for one proportion 95% upper sample x n sample p bound z-value p-value 1 211 1111 0.189919 0.209275 -4.62 0.000 which of the following is the best conclusion based on the output? a. o we have extremely strong evidence to reject h₀. b. o we have extremely strong evidence to reject hₐ. c. o we have moderately strong evidence to reject h₀. d. o there is a probability of 0 that h₀ is correct. e. o there is a probability of 0 that hₐ is correct.

Accepted Answer

# Explanation:
## Step1: Understand hypothesis testing
In hypothesis testing, the $p -$value is used to make a decision. If the $p -$value is less than the significance level ($\alpha$, commonly $\alpha = 0.05$ or $\alpha=0.01$). Here, the null hypothesis $H_0$ is the statement that there is no change (i.e., the proportion has not decreased) and the alternative hypothesis $H_a$ is the statement that the proportion has decreased.
## Step2: Analyze the $p -$value
The $p -$value given in the output is $P - Value=0.000$. When $p - value<\alpha$ (for $\alpha = 0.05$ or $\alpha=0.01$), we reject the null hypothesis. A very small $p -$value (close to $0$) indicates strong evidence against the null hypothesis.

# Answer:
A. We have extremely strong evidence to reject $H_0$.

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QUESTION IMAGE

Question

Explanation:

Step1: Understand hypothesis testing

Step2: Analyze the \(p -\)value

Answer: