Use for problems 9-15: Tonya wants to estimate what proportion of her school’s seniors plan to attend the prom. She interviews an SRS of 50 of the 750 seniors in her school and finds that 36 plan to go to the prom. _____ 9. Are all three conditions met? (a) No, the random condition is violated (b) No, the normal condition is violated (c) No, the independence condition is violated (d) Yes, all three conditions are met 10. Calculate the point estimate 11. Calculate z* for a 90% confidence interval. 12. Calculate the standard error 13. Calculate the margin of error 14. Calculate the 90% confidence interval. Enter the answer in interval notation with two decimal places. 15. Interpret the confidence interval: We are ______% confident that the interval from ___________ to ____________ capture the actual proportion of ________________________________________________________________________________.

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If a coin is balanced so that p(Heads) = p(Tails) = 1/2, then which of the following outcomes is least likely to occur?​     Select one: a. ​10 Heads in 10 tosses b. ​ ​8 Heads in 10 tosses c. ​ ​2 Heads in 10 tosses d. ​ 5 Heads in 10 tosses

A: Green is just as likely as red or blue to appear. B: Green is just as likely as blue to appear, but not as likely as red. C: Green is not as likely as red or blue to appear. D: Green is not as likely as blue to appear, but is as likely as red.

On the day before an election in a large city, each person in a random sample of 1,000 likely voters is asked whichcandidate he or she plans to vote for. Of the people in the sample, 55 percent say they will vote for candidateTaylor. A margin of error of 3 percentage points is calculated. Which of the following statements is appropriate?(A)The proportion of all likely voters who plan to vote for candidate Taylor must be the same as the proportionof voters in the sample who plan to vote for candidate Taylor (55 percent), because the data were collectedfrom a random sample.(B) The sample proportion minus the margin of error is greater than 0.50, which provides evidence that morethan half of all likely voters plan to vote for candidate Taylor.(C)It is not possible to draw any conclusion about the proportion of all likely voters who plan to vote forcandidate Taylor because the 1,000 likely voters in the sample represent only a small fraction of all likelyvoters in a large city.(D) It is…

1.) A basket contains 11 red apples and 8 green apples. A sample of 5 apples is drawn. Find the probability that the sample contains the following, and give your answer as a reduced fraction. (a) All green apples (b) 2 green apples and 3 red apples (c) More red than green apples

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Ex 1: A production facility employs 20 workers on the day shift, 15 workers on the swing shift, and 10 workers on the graveyard shift. A quality control consultant is to select 6 of these workers for in-depth interviews. Suppose the selection is made in such a way that any particular group of 6 workers has the same chance of being selected as does any other group (drawing 6 slips without replacement from among 45).