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 .

A College Alcohol Study interviewed an SRS of 1000 college students about their drinking habits. Suppose that half of all college students "drink to get drunk" at least once in a while. That is sample proportion, p-hat 0.5. %3D 9. Estimate a 95% confidence interval for the actual percentage among all students. Round the number to nearest hundredth. O47% to 53% O 50% to 55% 43% to 52% O 44% to 56%

A newsgroup is interested in constructing a 99% confidence interval for the proportion of all Americans who are in favor of a new Green initiative. Of the 583 randomly selected Americans surveyed, 372 were in favor of the initiative. Round answers to 4 decimal places where possible. a. With 99% confidence the proportion of all Americans who favor the new Green initiative is between and percent of these b. If many groups of 583 randomly selected Americans were surveyed, then a different confidence interval would be produced from each group. About confidence intervals will contain the true population proportion of Americans who favor the Green initiative and about percent will not contain the true population proportion.

You are interested in constructing a 90% confidence interval for the proportion of all caterpillars that eventually become butterflies. Of the 378 randomly selected caterpillars observed, 45 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 378 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.