Question
1. We wish to estimate what percent of adult residents in a certain county are parents. Out of 300 adult residents sampled, 78 had kids.
1. We wish to estimate what percent of adult residents in a certain county are parents. Out of 300 adult
residents sampled, 78 had kids. Based on this, construct a 95% confidence interval for the proportion, p, of adult residents who are parents in this county.
Give your answers as decimals, to three places.
2. Giving a test to a group of students, the grades and gender are summarized below
A | B | C | Total | |||
Male | 19 | 11 | 9 | 39 | ||
Female | 5 | 6 | 15 | 26 | ||
Non-binary | 2 | 13 | 16 | 31 | ||
Total | 26 | 30 | 40 | 96 |
Letrepresent the percentage of all non-binary students who would receive a grade of C on this test. Use
a 95% confidence interval to estimate p to three decimal places.
Enter your answer as a tri-linear inequality using decimals (not percents).
3. 3.If n=310 andp^(p-hat) =0.22, find the margin of error at a 99% confidence level
Give your answer to three decimals
4. .You want to obtain a sample to estimate a population proportion. Based on previous evidence, you
believe the population proportion is approximately p=35%. You would like to be 95% confident that
your estimate is within 4% of the true population proportion. How large of a sample size is required?
n=
5. . For a confidence level of 80% with a sample size of 26, find the critical t value.
6. If n=12,x (x-bar)=45, and s=3, find the margin of error at a 80% confidence level
Give your answer to two decimal places.
7. 7. Karen wants to advertise how many chocolate chips are in each Big Chip cookie at her bakery. She
randomly selects a sample of 58 cookies and finds that the number of chocolate chips per cookie in the sample has a mean of 9.7 and a standard deviation of 1.7. What is the 98% confidence interval for the number of chocolate chips per cookie for Big Chip cookies? Enter your answers accurate to one decimal
place.
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