Of 200 girls 165 wanted to go to hill station for weekend. And of 210 186 boys preferred hill station. Using the .10 level of significance, can we conclude that there is a significant difference in the proportion of girls and the proportion of boys who preferred hill station?

(a) State the null hypothesis and the alternative hypothesis.

(b) What is the probability of a Type I error?

(c) Is this a one-tailed or a two-tailed test?

(d) What is the decision rule?

(e)What is the value of the test statistic?

(f)What is your decision regarding the null hypothesis?

(g) What is the p-value? Explain what it means in terms of this problem.

In a couple's family history, male children dominate the offspring. This couple seeks to break the tradition and decides to have children until they have a desired number of girls. Let us suppose that there is no factor that indicates that the number of men in your family has biological causes and that the distribution of women and men in your family has been a mere coincidence.

a)Find the probability that the family will have four children if they have decided to have children until the first girl appears.

b) What is the probability that the couple will have at most 4 children if they only expect to have a girl?

c) Find the probability that the family will have six children if they have decided to have three girls.

d) What is the probability that the couple will have at most six children if they want to have three girls?

e)How many children does this family expect to have? (calculate the children expected by each family for the situation in part a), part d) and then generalize for a number r of girls)

f)How many children (boys) does this family expect to have? (calculate the boys that each family expects for the situation in part a), part c) and then generalize for a number r of girls)

Gloria Steinem said that girls are socialized into their bodies as ornaments and boys are socialized into their bodies as instruments. What does this mean? What is the difference between being an ornament versus being an instrument?

At a picnic, two teams of kids played a soccer game, after which one player's name was randomly chosen to win a prize. There are 22 kids in total. The winning team in the soccer game consists of 8 girls and 3 boys and the losing team consists of 4 girls and 7 boys. Given that the prize winner is a boy, what is the probability that he also comes from the winning soccer team?

Hint: Let E and F be events in a sample space S with P(F) > 0. The conditional probability of E given F is P(E|F) = P(E∩F) / P(F) = n(E∩F) / n(F)

(1 point) (a) Find the size of each of two samples (assume that they are of equal size) needed to estimate the difference between the proportions of boys and girls under 10 years old who are afraid of spiders. Use the conservative estimate for the value of both sample proportions. We want a 9696% confidence level and for the error to be smaller than 0.05.0.05.

Answer:

(b) Again find the sample size required, as in part (a), but with the knowledge that a similar student last year found that the proportion of boys afraid of spiders is 0.64 and the proportion of girls afraid of spiders was 0.83.

Answer:

***Answer for part (a) is NOT 841, 422, 3375

Answer for (b) is NOT 624, 328, 238, 25, 237***

Are gender differences rooted in the brain? Is television viewing harmful for children? Are boys better in math than girls? Is home-schooling an effective method of education? What is your opinion about IQ?

What are the benefits of open toileting (using the same bathrooms for both boys and girls)? What are some reasons why children may have toilet accidents and how would you manage this?

In her recent book, titled Lean In, Facebook COO Cheryl Sandberg suggested that, “we need to teach women to raise their hands more.” As a curious researcher, you wonder if that is really the case. Using data from a local school survey, test the research hypothesis at the 0.01 level of significance that there is a difference in the number of times boys and girls raise their hands in class. Use the file homework5.xls (posted on Blackboard) to do this on Excel first. In the file you will find two variables, one for gender and one for hands up. Boys are coded as 1, and girls are coded with 2. Do this problem by hand as well, and double check your answers. What is your conclusion regarding the research hypothesis? Do you reach the same conclusion using Excel? Make sure you include your calculations by hand and the Excel outcome (copy and paste) to receive full credit.

Explain the effects of gender development on girls and boys of different ages when a parent mother or father leaves the home permanently.  (Please incorporate research, sociological THEORY AND SOCIOLOGICAL CONCEPTS in your answer).

1.) Use the definitions given in the text to find both the odds for and the odds against the following event.

-Flipping 4 fair coins and getting 0 heads.

The odds for getting 0 heads are what to what.​(Type a whole​ number.)

The odds against getting 0 heads are what to what. (Type a whole number)

2.) Determine whether the following individual events are overlapping or​ non-overlapping. Then find the probability of the combined event.

Getting a sum of either 4 or 8 on a roll of two dice

Choose the correct answer below​ and, if​ necessary, fill in the answer box to complete your choice.

3.)Determine the probability of having 2 girls and 3 boys in a 5​-child family assuming boys and girls are equally likely.  

The probability of having 2 girls and boy sis is?

4.) Use the​ "at least​ once" rule to find the probabilities of the following event.

Getting at least one head when tossing seven fair coins