Confidence and Proportion - AP Statistics
Card 0 of 12
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In a simple random sample of
people,
are left-handed. Find a
confidence interval for the true proportion of left-handed people in the entire population.
In a simple random sample of people,
are left-handed. Find a
confidence interval for the true proportion of left-handed people in the entire population.
Step 1: Determine the approporiate formula. In this case, the statistic is a proportion because the question says 261 people out of 1000 are left-handed. We want to use a confidence interval for proportions. The equation is

Step 2:
, or the sample proportion is equal to 
Step 3: The questions asks for a 95% confidence interval. You can assume a normal distribution because of the large sample size. Therefore, in a normal distribution, 95% of the data is contained within
.

Step 4: Substitue all the values into the equation to get the answer.

Step 1: Determine the approporiate formula. In this case, the statistic is a proportion because the question says 261 people out of 1000 are left-handed. We want to use a confidence interval for proportions. The equation is
Step 2: , or the sample proportion is equal to
Step 3: The questions asks for a 95% confidence interval. You can assume a normal distribution because of the large sample size. Therefore, in a normal distribution, 95% of the data is contained within .
Step 4: Substitue all the values into the equation to get the answer.
Compare your answer with the correct one above
A health insurance executive suspects that 50% of insurance applications are incomplete (i.e. critical data is missing from the application). He wants to gather a sample to estimate the true proportion. He wants to be within 5% of the true mean with 95% confidence.
What sample size does he need?
A health insurance executive suspects that 50% of insurance applications are incomplete (i.e. critical data is missing from the application). He wants to gather a sample to estimate the true proportion. He wants to be within 5% of the true mean with 95% confidence.
What sample size does he need?
Compare your answer with the correct one above
No explanation available
No explanation available
Compare your answer with the correct one above
In a simple random sample of
people,
are left-handed. Find a
confidence interval for the true proportion of left-handed people in the entire population.
In a simple random sample of people,
are left-handed. Find a
confidence interval for the true proportion of left-handed people in the entire population.
Step 1: Determine the approporiate formula. In this case, the statistic is a proportion because the question says 261 people out of 1000 are left-handed. We want to use a confidence interval for proportions. The equation is

Step 2:
, or the sample proportion is equal to 
Step 3: The questions asks for a 95% confidence interval. You can assume a normal distribution because of the large sample size. Therefore, in a normal distribution, 95% of the data is contained within
.

Step 4: Substitue all the values into the equation to get the answer.

Step 1: Determine the approporiate formula. In this case, the statistic is a proportion because the question says 261 people out of 1000 are left-handed. We want to use a confidence interval for proportions. The equation is
Step 2: , or the sample proportion is equal to
Step 3: The questions asks for a 95% confidence interval. You can assume a normal distribution because of the large sample size. Therefore, in a normal distribution, 95% of the data is contained within .
Step 4: Substitue all the values into the equation to get the answer.
Compare your answer with the correct one above
A health insurance executive suspects that 50% of insurance applications are incomplete (i.e. critical data is missing from the application). He wants to gather a sample to estimate the true proportion. He wants to be within 5% of the true mean with 95% confidence.
What sample size does he need?
A health insurance executive suspects that 50% of insurance applications are incomplete (i.e. critical data is missing from the application). He wants to gather a sample to estimate the true proportion. He wants to be within 5% of the true mean with 95% confidence.
What sample size does he need?
Compare your answer with the correct one above
No explanation available
No explanation available
Compare your answer with the correct one above
In a simple random sample of
people,
are left-handed. Find a
confidence interval for the true proportion of left-handed people in the entire population.
In a simple random sample of people,
are left-handed. Find a
confidence interval for the true proportion of left-handed people in the entire population.
Step 1: Determine the approporiate formula. In this case, the statistic is a proportion because the question says 261 people out of 1000 are left-handed. We want to use a confidence interval for proportions. The equation is

Step 2:
, or the sample proportion is equal to 
Step 3: The questions asks for a 95% confidence interval. You can assume a normal distribution because of the large sample size. Therefore, in a normal distribution, 95% of the data is contained within
.

Step 4: Substitue all the values into the equation to get the answer.

Step 1: Determine the approporiate formula. In this case, the statistic is a proportion because the question says 261 people out of 1000 are left-handed. We want to use a confidence interval for proportions. The equation is
Step 2: , or the sample proportion is equal to
Step 3: The questions asks for a 95% confidence interval. You can assume a normal distribution because of the large sample size. Therefore, in a normal distribution, 95% of the data is contained within .
Step 4: Substitue all the values into the equation to get the answer.
Compare your answer with the correct one above
No explanation available
No explanation available
Compare your answer with the correct one above
In a simple random sample of
people,
are left-handed. Find a
confidence interval for the true proportion of left-handed people in the entire population.
In a simple random sample of people,
are left-handed. Find a
confidence interval for the true proportion of left-handed people in the entire population.
Step 1: Determine the approporiate formula. In this case, the statistic is a proportion because the question says 261 people out of 1000 are left-handed. We want to use a confidence interval for proportions. The equation is

Step 2:
, or the sample proportion is equal to 
Step 3: The questions asks for a 95% confidence interval. You can assume a normal distribution because of the large sample size. Therefore, in a normal distribution, 95% of the data is contained within
.

Step 4: Substitue all the values into the equation to get the answer.

Step 1: Determine the approporiate formula. In this case, the statistic is a proportion because the question says 261 people out of 1000 are left-handed. We want to use a confidence interval for proportions. The equation is
Step 2: , or the sample proportion is equal to
Step 3: The questions asks for a 95% confidence interval. You can assume a normal distribution because of the large sample size. Therefore, in a normal distribution, 95% of the data is contained within .
Step 4: Substitue all the values into the equation to get the answer.
Compare your answer with the correct one above
A health insurance executive suspects that 50% of insurance applications are incomplete (i.e. critical data is missing from the application). He wants to gather a sample to estimate the true proportion. He wants to be within 5% of the true mean with 95% confidence.
What sample size does he need?
A health insurance executive suspects that 50% of insurance applications are incomplete (i.e. critical data is missing from the application). He wants to gather a sample to estimate the true proportion. He wants to be within 5% of the true mean with 95% confidence.
What sample size does he need?
Compare your answer with the correct one above
A health insurance executive suspects that 50% of insurance applications are incomplete (i.e. critical data is missing from the application). He wants to gather a sample to estimate the true proportion. He wants to be within 5% of the true mean with 95% confidence.
What sample size does he need?
A health insurance executive suspects that 50% of insurance applications are incomplete (i.e. critical data is missing from the application). He wants to gather a sample to estimate the true proportion. He wants to be within 5% of the true mean with 95% confidence.
What sample size does he need?
Compare your answer with the correct one above