from a random sample of workers you find that 58% of 200 went on a trip last year for at least a week. an approximate 95% confidence interval is (0.51, 0.65) which is true A. 95% of coworkers fall in the interval B. we are 95% confident that the percentage of coworkers who want if this trip is between 51% and 65% C. we are 95% confident the between 51% and 65% of the sample will have a percentage near 58 D. there is 95% chance that a random selected coworker has gone on a trip last year

Suppose we randomly select n=2000 Douglas College students and we find that 205 of these students are left-handed. What is the 95% confidence interval for p= the proportion of left-handed students at Douglas? Fill in the blanks (round to three decimal places):  We are 95% confident that p is between  and .

You are interested in constructing a 99% confidence interval for the proportion of all caterpillars that eventually become butterflies. Of the 431 randomly selected caterpillars observed, 50 lived to become butterflies. Round answers to 4 decimal places where possible. a.  With 99% confidence the proportion of all caterpillars that lived to become a butterfly is between___  and___ . b.  If many groups of 431 randomly selected caterpillars were observed, then a different confidence interval would be produced from each group. About____  percent of these confidence intervals will contain the true population proportion of caterpillars that become butterflies and about ____ percent will not contain the true population proportion.

You are interested in constructing a 99% confidence interval for the proportion of all caterpillars that eventually become butterflies. Of the 382 randomly selected caterpillars observed, 54 lived to become butterflies. Round answers to 4 decimal places where possible. a.  With 99% confidence the proportion of all caterpillars that lived to become a butterfly is between__  and __.

Suppose that you wanted to know if the percentage of people who will attend a sporting event this year will decrease. Last year, 43% of Americans attended a sporting event. After taking a sample, you attain a sample percentage of 18% with a margin of error of 3%. Construct a confidence interval and use that interval to determine if the number of Americans who will attend a sporting event has decreased. Show your calculation for the interval and then state your conclusion in complete sentences.

Suppose a researcher takes a random sample of 1,000 students from a university and creates a 95% confidence interval for the true proportion of left handed students at the university. Which of the following is true about this interval when compared with a 95% confidence interval based on a random sample of 600 students from the same university? a. The interval based on a sample of 600 students will be wider than the interval based on a sample of 1,000 students. b. The lower and upper endpoints of the 95% CI based on 600 students will both be larger than the corresponding lower and upper endpoints of the 95% CI based on 1,000 students. c. 95% CIs based in samples of 1,000 students are more likely to include the true population proportion than 95% CIs based on samples of 600 students. d. The interval based on a 1,000 students will be wider than the interval based on 600 students.   2. If the researchers above wished to decrease the width of the mean confidence interval for the mean age…

You are interested in constructing a 99% confidence interval for the proportion of all caterpillars that eventually become butterflies. Of the 418 randomly selected caterpillars observed, 59 lived to become butterflies. Round answers to 4 decimal places where possible. a.  With 99% confidence the proportion of all caterpillars that lived to become a butterfly is between and . b.  If many groups of 418 randomly selected caterpillars were observed, then a different confidence interval would be produced from each group. About percent of these confidence intervals will contain the true population proportion of caterpillars that become butterflies and about percent will not contain the true population proportion.

Section b is where I am struggling

You are interested in constructing a 90% confidence interval for the proportion of all caterpillars that eventually become butterflies. Of the 425 randomly selected caterpillars observed, 55 lived to become butterflies. Round answers to 4 decimal places where possible. a.  With 90% confidence the proportion of all caterpillars that lived to become a butterfly is between ___and____ . b.  If many groups of 425 randomly selected caterpillars were observed, then a different confidence interval would be produced from each group. About ____ percent of these confidence intervals will contain the true population proportion of caterpillars that become butterflies and about _____percent will not contain the true population proportion.