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In a simple random sample of 70 automobiles registered in a certain state, 24 of them...

In a simple random sample of 70 automobiles registered in a certain state, 24 of them were found to have emission levels that exceed a state standard.

What proportion of the automobiles in the sample had emission levels that exceed the standard? Round the answer to two decimal places.

Find a 95% confidence interval for the proportion of automobiles in the state whose emission levels exceed the standard. Round the answers to three decimal places.

Find a 98% confidence interval for the proportion of automobiles whose emission levels exceed the standard. Round the answers to three decimal places.

How many automobiles must be sampled to specify the proportion that exceed the standard to within ±0.1 with 95% confidence? Round up the answer to the nearest integer.

How many automobiles must be sampled to specify the proportion that exceed the standard to within ±0.1 with 98% confidence? Round up the answer to the nearest integer.

Someone claims that less than 44.35% of the automobiles in the state exceed the standard. With what level of confidence can this statement be made? Round the answer to two decimal places.

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