Five hundred people were chosen at random from a large population and

sputavanomr

sputavanomr

Answered question

2021-12-02

Five hundred people were chosen at random from a large population and each was asked whether he or she favoured capital punishment for murderers of police officers. Suppose that 60% of those interviewed said that they were in favour. Let θ denote the proportion of the population who are in favour. Construct a 95% confidence interval forθ from the observed data.

Answer & Explanation

Howell

Howell

Beginner2021-12-03Added 11 answers

Step 1
Given that,
Sample size, n=500
Proportion, θ=60%=0.60
Then XBomial(500,0.60)
Confidence interval for θ is given by,
(θ±Zθ1θn)
Z at 95% level of significance is 1.96
Step 2:
(0.60±1.960.600.40500)
=(0.600.043,0.60+0.043)
=(0.557,0.643)

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