A clinical trial tests a method designed to increase the probability of conceiving a girl. In the study

360360

babies were​ born, and

288288

of them were girls. Use the sample data to construct a

9999​%

confidence interval estimate of the percentage of girls born. Based on the​ result, does the method appear to be​ effective?

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pless than<nothing

​(Round to three decimal places as​ needed.)

One of two small restaurants is chosen at random with equally likely probability, and then an employee is chosen at random from the chosen restaurant. Restaurant #1 has 9 full-timers and 6 part-timers. Restaurant #2 has 7 full-timers and 9 part-timers. What is the probability that Restaurant #1 was chosen at random, given that a full-time employee was chosen? Your answers should be rounded to 4 digits after the decimal.

A clinical trial tests a method designed to increase the probability of conceiving a girl. In the study

300

babies were​ born, and

255

of them were girls. Use the sample data to construct a

99​%

confidence interval estimate of the percentage of girls born. Based on the​ result, does the method appear to be​ effective?

less than<

pless than<

​(Round to three decimal places as​ needed.)

A statistician is betting in a game of Counting Rates and Probability. The game uses cards, but 1/3 of the cards are red, and 2/3 of the cards are black. If the statistician gets a red card his face will blush 30% of the time. If the statistician gets a black card his face will blush 60% of the time. Assuming you see the statisticians face blushing, what is the probability he just drew a black card?
Answer to 3 decimals

According to a study done by a university​ student, the probability a randomly selected individual will not cover his or her mouth when sneezing is 0.267. Suppose you sit on a bench in a mall and observe​ people's habits as they sneeze.

e. Fewer than half of 10 individuals covering their mouth (would/would not) be surprising because the probability of observing fewer than half covering their mouth when sneezing is (need answer)​, which (is/is not) an unusual event.

Can you please solve using a ti-84 calculator?

Calculate the probability of an electron in the ground state of the hydrogen atom being inside a sphere radius r = 2.40 ✕ 10^-14 m, centered around the nucleus. (Hint: Note that r << a₀.)

Consider a family with 4 children. Assume the probability that one child is a boy is 0.5 and the probability that one child is a girl is also 0.5, and that the events "boy" and "girl" are independent.

(a) List the equally likely events for the gender of the 4 children, from oldest to youngest. (Let M represent a boy (male) and F represent a girl (female). Select all that apply.)

FMMFone M, three F'sFFFFMMMMFMFMFMFFtwo M's, two F'sthree M's, one FMFMFMFFFFMMMMFMMFFMFMMMFMMFFFFMMFFFMMMFMMFFM

A clinical trial tests a method designed to increase the probability of conceiving a girl. In the​ study, 357 babies were​ born, and 201 of them were girls. Use the sample data with a 0.01 significance level to test the claim that with this​ method, the probability of a baby being a girl is greater than 0.5. Use this information to answer the following questions.

a. List the null and alternative hypothesis.

b. P-value =

c. What is the conclusion?

d. Does the method appear to be effective?

Approximate the probability that in 205 tosses of a fair die, we will obtain at least 109 fives.

What is the probability of finding three or fewer nonconforming items in a sample of 5 items from a lot that has 50 total items and ten of them are known to be nonconforming?

When using the Hypergeometric distribution to solve I get 0.9959 as opposed to the binomial distribution which gets me a result of 0.9933. Which would be the correct formula to use and why?