Zahra is a company specializing in high-end cosmetics. Its signature nail polish color is Soft Lilac. On a certain day, 8 out of every 33 bottles of nail polish in the company's factory are Soft Lilac. That day, the inventory manager took a sample of bottles of nail polish in the factory. She found that 19 of the 74 bottles that she sampled were Soft Lilac. For the inventory manager's sample, find and write with proper notation the sample proportion and population proportion of bottles that were Soft Lilac. Write the proportions as decimals (not percentages) rounded to two decimal places. Sample proportion: (Choose one) ▼ =| Population proportion: (Choose one) V =I

 A national forest service wanted to estimate the number of deer in a particular national park. They cotton tag 71 deer and release him back into the park. Later they selected a sample of 272 deer. Of the 272 dear, 17 were tagged, assuming that the portion of tag deer and the sample holds for all deer in the forest, what is the best estimate of the number of deer in the park? 

A school superintendent wanted to know whether there were differences between the high schools in her district with regards to the proportion of students who do not live with their biological parents.   She surveyed 200 students from each of the two high schools – East and West.   The proportion of students from the survey at East who do not live with their biological parents is 3.4%. The proportion of students from the survey at East who do not live with their biological parents is 4.2%. Using a 95% confidence interval (2SD or Theory based), can the superintendent conclude that there is a difference between East and West with respect to the proportion of students who do not live with their biological parents. Group of answer choices Yes she can conclude there is a difference because the confidence intervals overlap. No she cannot conclude there is a difference because the confidence intervals overlap. Yes she can conclude there is a difference because the confidence intervals don’t…

The American Heart Association is about to conduct an anti-smoking campaign and wants to know the fraction of Americans over 35 who smoke. Step 1 of 2 :   Suppose a sample of 1089  Americans over 35 is drawn. Of these people, 359 smoke. Using the data, estimate the proportion of Americans over 35 who smoke. Enter your answer as a fraction or a decimal number rounded to three decimal places.