Question

In: Math

Probability theory and the binomial expansion show that, were you to sample families consisting of four...

Probability theory and the binomial expansion show that, were you to sample families consisting of four children 1/16 of these families would consist of 4 boys, 4/16 would consist of 3 boys and 1 girl, 6/16 would consist of 2 boys and 2 girls, 4/16 would consist of 1 boy and 3 girls, and 1/16 would consist of 4 girls. Do the data in the sample given in the next table approximate this expectation? Complete the table, calculate X2, and answer the questions based on your calculations.

Family Sex Ratio O E (O-E) (O-E)2 (O-E)2/2
All Boys 235
3B:1G 898
2B:2G 1317
1B:3G 841
All girls 181
Total X2 =

A. interpret this X2 value, you have __________ degrees of freedom.


b. In this case do you accept/reject the hypothesis that these data approximate a dihybrid test cross ratio with independent assortment?a. In interpreting this X2 value, you have _____ dregrees of freedom.

c. What is the probability that the deviations are due to chance alone?

D. Determine whether the overall ratio of boys to girls in the above data is consistent with the hypothesis of a 50:50 sex ratio. Remember that each family included in the table consists of four children; for example, 235 families consisted of 4 boys, 898 families consisted of 3 boys and 1 girl, and 1317 families consisted of 2 boys and 2 girls. Calculate X2 for these data by completing the following table:

Sex O E (O-E) (O-E)2 (O-E)2/E

Male

Female
Total X2 =

E. Accept/Reject ________; df=_____________; P=___________

F. Calculate the ratio of boys to girls; record here:

G. How have biologists explained sex ratio data such as those observed in this problem?

Please explain the steps...... Thanks

Solutions

Expert Solution


Related Solutions

Given a binomial distribution with a sample of size 15 trees and the probability of damage...
Given a binomial distribution with a sample of size 15 trees and the probability of damage by fungi of 0.10, find a. P(# damaged trees = 3) = b. P(# of damaged trees is less than 3) = c. P( at least 3 but no more than 6 damaged trees are found)= d. the population mean e. population variance
A random sample of 120 observations is selected from a binomial population with an unknown probability...
A random sample of 120 observations is selected from a binomial population with an unknown probability of success ?. The computed value of ?̂ is 0.7. (1)    Test ?0:?=0.55 against ??:?>0.55. Use ?=0.01. test statistic ?= critical ? score      (2)    Test ?0:?=0.5 against ??:?<0.5. Use ?=0.05. test statistic ?= critical ? score      (3)    Test ?0:?=0.55 against ??:?≠0.55. Use ?=0.01. test statistic ?= positive critical ? score     negative critical ? score
Given a random sample of size of n = 4,900 from a binomial probability distribution with...
Given a random sample of size of n = 4,900 from a binomial probability distribution with P = 0.50​, complete parts​ (a) through​ (e) below. a. Find the probability that the number of successes is greater than 2,535. P(X>2535) = b. Find the probability that the number of successes is fewer than 2,410. P(X<2410) = c. Find the probability that the number of successes is between 2,440 and 2,520. P(2440 < X < 2520) = d. With probability .20​, the...
A random sample of 120 observations is selected from a binomial population with unknown probability of...
A random sample of 120 observations is selected from a binomial population with unknown probability of success p. The computed value of p^ is 0.69. (1)    Test H0:p≤0.6 against Ha:p>0.6. Use α=0.05. test statistic z= critical zscore      The decision is A. There is not sufficient evidence to reject the null hypothesis. B. There is sufficient evidence to reject the null hypothesis. (2)    Test H0:p≥0.6 against Ha:p<0.6. Use α=0.01 test statistic z= critical zscore      The decision is A. There is not sufficient evidence...
List the four laws of probability theory and express them mathematically.
List the four laws of probability theory and express them mathematically.
Take a look at the four requirements for binomial probability distributions: 1. Fixed number of single...
Take a look at the four requirements for binomial probability distributions: 1. Fixed number of single observations (trials) 2. Each trial is independent 3. Each trial must have outcomes that fall into one of two categories (success, failure) 4. The probability of success remains the same for every trial. Come up with an example scenario in which you would have a binomial probability distribution to work with.  
Show that the conditional distribution of X, given X+Y=u (a value with positive probability, is binomial...
Show that the conditional distribution of X, given X+Y=u (a value with positive probability, is binomial with parameters (u, λ1/(λ1+λ2)
By making a sample application consisting of at least 10 (ten) financial events and 4 (four)...
By making a sample application consisting of at least 10 (ten) financial events and 4 (four) inventory information: 1-Edit /prepare the establishment balance sheet. 2-Record the daily transactions in the relevant books. 3-Make the end of the period transactions. 4- Prepare the closing balance sheet and income statement. The case study will be prepared according to the continuous inventory method. Uniform chart of accounts and codes will not be included. please note that every things mentioned in the question should...
Is there a way to do this without the binomial probability? Consider the following game: You...
Is there a way to do this without the binomial probability? Consider the following game: You roll six 6-sided dice d1,…,d6 and you win if some number appears 3 or more times. For example, if you roll: (3,3,5,4,6,6) then you lose. If you roll (4,1,3,6,4,4)then you win. What is the probability that you win this game? The answer is 119/324
What is the probability that out of four people, no two were born on the same...
What is the probability that out of four people, no two were born on the same day of the week?
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT