What is the probability that the next person chosen will be in the 40-49 or 50-59 age groups

Get the answer to your homework problem.

Try Numerade free for 7 days

Antelope High School

William J.

Intro Stats / AP Statistics

4 months, 2 weeks ago

We don’t have your requested question, but here is a suggested video that might help.

One study deals with the major shipwreck of passenger ships at the time the Titanic went down (1912). 100 men and 100 women are randomly selected from the passengers at these shipwrecks. 114 of the 200 elected perished. 65 of the elected men perished. Use the following notation M: Male, M: Female, O: Perished and O: Survived. (a) For the selected passengers, find the number and associated probabilities for the four the components that describe the simultaneous distribution. (Give the answer in two tables.) OE OE M M ∩ O M ∩ O M M ∩ O M ∩ O (b) i. Find the probability that a randomly selected man died. ii. Find the probability that a randomly selected survivor was a woman. (c) On the ships that sank, it was possible to buy a ticket for 1st, 2nd and 3rd class. Of them selected passengers had 24 tickets for 1st class, while 62 had tickets for 2nd class. Of those in 1st grade, 12 survived. In 2nd grade, 32 survived. Use the law of total probability to find the probability of survival 3rd grade. (NB: We can find this probability by structuring the information in a table, but in order to get a full count, the law of total probability must be set up and used.) (d) Let pM be the proportion of men who die in such shipwrecks, and let pK be the proportion of women who perish in such shipwrecks. i. When 100 random men and 100 random women are selected, which probability models describe the number of women Y and the number of men X, respectively, as perished among the elect? Justify the answer. ii. α) Show that we, based on the values ​​given in (a), get the estimated ones the values ​​pbM = 0.65 and pbK = 0.49. β) Show that we get the following estimate of the standard deviations of X and Y: SE (X) = σbX = √ 22.75 and SE (Y) = σbY = √ 24.99. (e) We will use the estimates pbM and pbK (see above) to test if there are significantly more men than women who perish in these shipwrecks. i. Explain why we should perform the following hypothesis test: H0: pM - pK = 0 H1: pM - pK> 0. ii. Can we use a normal approach in this test? Justify the answer. (f) i. Our estimate of the true difference pM - pK is given by d = pbM - pbK. Vis that we get the following estimate of the standard deviation of d: SE (d) = σbd = 0.0691. ii. Calculate the p-value of the hypothesis test given above. iii. We want to perform the hypothesis test from (e) at significance level α = 0.05. Use the p-value you found above to conclude. NB: If you failed to calculate the p-value, then you can get points here to briefly explain how we can use this p-value to find a conclusion.

Question 1

2 / 2 pts

(CO 2) A random number generator is used to select a number from 1 to 100. What is

the probability of selecting an even number?

0.25

Correct!

0.50

0.005

0.95

Question 2

2 / 2 pts

(CO 2) What is the sample space of flipping three coins, where H=heads, and T=tails?

Correct!

(H,H,H)(H,H,T)(H,T,T)(T,H,H)(T,T,H)(T,T,T)(T,H,T)(H,T,H)

(H,H,H)(H,H,H)(H,H,H)(H,H,H)(T,T,T)(T,T,T)(T,T,T)(T,T,T)

(H,H,T)(H,T,T)(T,H,H)(T,T,H)(T,T,T)(T,H,T)(H,T,H)

(H,H,H)(T,T,T)

Question 3

In order to continue enjoying our site, we ask that you confirm your identity as a human. Thank you very much for your cooperation.

In order to continue enjoying our site, we ask that you confirm your identity as a human. Thank you very much for your cooperation.