Question

2. (24 points) In a survey of 160 randomly sampled households, 72 report owning a dog. (a) Find a 99% confidence interval for the proportion of all households that own a dog. (b) Can you conclude with 99% confidence that the proportion of households that own a dog is greater than 40 percent? Justify your answer. (c) How many households would have to be surveyed in order to estimate the actual proportion of households that own a dog within 0.05 with 99% confidence?

          2. (24 points) In a survey of 160 randomly sampled households, 72 report owning a dog.

(a) Find a 99% confidence interval for the proportion of all households that own a dog.

(b) Can you conclude with 99% confidence that the proportion of households that own a dog is greater than 40 percent? Justify your answer.

(c) How many households would have to be surveyed in order to estimate the actual proportion of households that own a dog within 0.05 with 99% confidence?

2. (24 points) In a survey of 160 randomly sampled households, 72 report owning a dog.

(a) Find a 99% confidence interval for the proportion of all households that own a dog.

(b) Can you conclude with 99% confidence that the proportion of households that own a dog is greater than 40 percent? Justify your answer.

(c) How many households would have to be surveyed in order to estimate the actual proportion of households that own a dog within 0.05 with 99% confidence?

Added by Nathaniel C.

Elementary Statistics a Step by Step Approach

Allan G. Bluman 9th Edition

Instant Answer

Solved by Expert Qudsiya Anis

08/11/2023

Step 1

We are given that out of 60 randomly sampled households, 72 report owning a dog. This means that the sample proportion of households that own a dog is: p̂ = 72/60 = 1.2 Note that p̂ is a point estimate of the true proportion of households that own a dog in the Show more…

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In a survey of 160 randomly sampled households, 72 report owning a dog. Find a 99% confidence interval for the proportion of all households that own a dog. Can you conclude with 99% confidence that the proportion of households that own a dog is greater than 40 percent? Justify your answer. How many households would have to be surveyed in order to estimate the actual proportion of households that own a dog within 0.05 with 99% confidence?