According to an article in Newsweek, the natural ratio of girls to boys is 100:105. In China, the birth ratio is 100:114 (46.7% girls). Suppose you don't believe the reported figures of the percent of girls born in China. You conduct a study. In this study, you count the number of girls and boys born in 150 randomly chosen recent births. There are 63 girls and 87 boys born of the 150. Based on your study, do you believe that the percent of girls born in China is 46.7? Conduct a hypothesis test at the 5% level.

Note: If you are using a Student's t-distribution for the problem, you may assume that the underlying population is normally distributed. (In general, you must first prove that assumption, though.)

• Part (a)

  State the null hypothesis.

  H₀:

  p ≠ 0.467

  H₀:

  p ≤ 0.467     

  H₀:

  p ≥ 0.467

  H₀:

  p = 0.467

• Part (b)

  State the alternative hypothesis.

  H_a:

  p ≠ 0.467

  H_a:

  p < 0.467     

  H_a:

  p > 0.467

  H_a:

  p = 0.467

• Part (c)

  In words, state what your random variable P' represents.

  P' represents the percent of girls born in China.P' represents the percent of boys born in China.     P' represents the number of girls born in China.P' represents the ratio of girls to boys in China.

• Part (d)

  State the distribution to use for the test. (Round your answers to four decimal places.)
  P' ~     ,  

• Part (e)

  What is the test statistic? (If using the z distribution round your answers to two decimal places, and if using the t distribution round your answers to three decimal places.)
  ---Select--- t z =

• Part (f)

  What is the p-value? (Round your answer to four decimal places.)
  
  
  Explain what the p-value means for this problem. If

  H₀

  is true, then there is a chance equal to the p-value that the sample ratio is not 63 out of 150 or less OR 77 out of 150 or more. If

  H₀

  is false, then there is a chance equal to the p-value that the sample ratio is not 63 out of 150 or less OR 77 out of 150 or more.     If

  H₀

  is true, then there is a chance equal to the p-value that the sample ratio is 63 out of 150 or less OR 77 out of 150 or more.If

  H₀

  is false, then there is a chance equal to the p-value that the sample ratio is 63 out of 150 or less OR 77 out of 150 or more.

• Part (g)

  Sketch a picture of this situation. Label and scale the horizontal axis and shade the region(s) corresponding to the p-value.

• Part (h)

  Indicate the correct decision ("reject" or "do not reject" the null hypothesis), the reason for it, and write an appropriate conclusion.(i) Alpha (Enter an exact number as an integer, fraction, or decimal.)
  α =  
  
  (ii) Decision:

  reject the null hypothesisdo not reject the null hypothesis     

  
  (iii) Reason for decision:

  Since α > p-value, we reject the null hypothesis.Since α < p-value, we reject the null hypothesis.     Since α > p-value, we do not reject the null hypothesis.Since α < p-value, we do not reject the null hypothesis.

  
  (iv) Conclusion:

  There is sufficient evidence to conclude that the percent of girls born in China is not equal to 46.7%.There is not sufficient evidence to conclude that the percent of girls born in China is not equal to 46.7%.     

• Part (i)

  Construct a 95% confidence interval for the true proportion. Sketch the graph of the situation. Label the point estimate and the lower and upper bounds of the confidence interval. (Round your answers to four decimal places.)

According to an article in Newsweek, the natural ratio of girls to boys is 100:105. In China, the birth ratio is 100:114 (46.7% girls). Suppose you don't believe the reported figures of the percent of girls born in China. You conduct a study. In this study, you count the number of girls and boys born in 150 randomly chosen recent births. There are 62 girls and 88 boys born of the 150. Based on your study, do you believe that the percent of girls born in China is 46.7? Conduct a hypothesis test at the 5% level.

Note: If you are using a Student's t-distribution for the problem, you may assume that the underlying population is normally distributed. (In general, you must first prove that assumption, though.)

• Part (a)

  State the null hypothesis.

  H₀:

  p ≠ 0.467

  H₀:

  p ≥ 0.467    

  H₀:

  p = 0.467

  H₀:

  p ≤ 0.467

• Part (b)

  State the alternative hypothesis.

  H_a:

  p = 0.467

  H_a:

  p > 0.467    

  H_a:

  p < 0.467

  H_a:

  p ≠ 0.467

• Part (c)

  In words, state what your random variable P' represents.

  P' represents the percent of boys born in China.P' represents the percent of girls born in China.    P' represents the number of girls born in China.P' represents the ratio of girls to boys in China.

• Part (d)

  State the distribution to use for the test. (Round your answers to four decimal places.)
  P' ~     ,  

• Part (e)

  What is the test statistic? (If using the z distribution round your answers to two decimal places, and if using the t distribution round your answers to three decimal places.)
  ---Select--- z t =

• Part (f)

  What is the p-value? (Round your answer to four decimal places.)
  
  
  Explain what the p-value means for this problem.If

  H₀

  is true, then there is a chance equal to the p-value that the sample ratio is not 62 out of 150 or less OR 78 out of 150 or more.If

  H₀

  is false, then there is a chance equal to the p-value that the sample ratio is not 62 out of 150 or less OR 78 out of 150 or more.    If

  H₀

  is true, then there is a chance equal to the p-value that the sample ratio is 62 out of 150 or less OR 78 out of 150 or more.If

  H₀

  is false, then there is a chance equal to the p-value that the sample ratio is 62 out of 150 or less OR 78 out of 150 or more.

• Part (g)

  Sketch a picture of this situation. Label and scale the horizontal axis and shade the region(s) corresponding to the p-value.

• Part (h)

  Indicate the correct decision ("reject" or "do not reject" the null hypothesis), the reason for it, and write an appropriate conclusion.(i) Alpha (Enter an exact number as an integer, fraction, or decimal.)
  α =
  
  (ii) Decision:

  reject the null hypothesisdo not reject the null hypothesis    

  
  (iii) Reason for decision:

  Since α < p-value, we do not reject the null hypothesis.Since α > p-value, we reject the null hypothesis.    Since α < p-value, we reject the null hypothesis.Since α > p-value, we do not reject the null hypothesis.

  
  (iv) Conclusion:

  There is sufficient evidence to conclude that the percent of girls born in China is not equal to 46.7%.There is not sufficient evidence to conclude that the percent of girls born in China is not equal to 46.7%.    

• Part (i)

  Construct a 95% confidence interval for the true proportion. Sketch the graph of the situation. Label the point estimate and the lower and upper bounds of the confidence interval. (Round your answers to four decimal places.)

A. For the physical development of adolescents, describe the features of puberty in boys and girls.

B. Discuss body image issues that can occur at this time(adolescents) in a person’s life and offer your opinion on the best way to address this.

If the number of Lego bricks were averaged out among the world’s population, each person would own approximately 86 bricks. These simple blocks have propelled the family-owned LEGO Group to the world’s largest global toymaker. The company manufactures approximately 86,667 Legos per minute. Traditionally geared more toward young boys, Lego used market research to expand its target market toward girls with new product lines. It also uses crowdsourcing to elicit new ideas for Lego sets.
The LEGO Group is a Denmark-based company founded in 1932 by carpenter Ole Kirk Kristiansen. In 1947 the firm decided to produce plastic toys after purchasing an injection-molding machine. Among these toys were plastic bricks aimed toward young children. Kristiansen’s son Godtfred, who would head the company after his father’s death, began investigating ways to design these plastic bricks. He conceived of an interlocking system design that would allow children to connect the bricks together easily. In 1958 he patented the stud-and-tube coupling system, a system that would popular-ize Lego toys on a global dimension. Although Godfred Kristiansen considered Lego products to be for both genders, this was not the case at the begin-ning of the 21st century. Legos were considered to be more of a boy’s toy. However,
this
began to change a few years ago when Lego made a strategic deci-sion to develop prod-uct lines for girls. This decision was not taken lightly. Lego spent four years interviewing this demographic and their families to understand the preferences and desires of young girls. Researchers observed girls at play to note the differences between
girls and boys. One of the biggest observations that Lego dis-covered is that young girls tend to like to role-play, making Lego mini-figures an important part of the Lego experience. They also discovered that girls tend to pay more attention to color. In all, 3,500 girls were interviewed or observed. This type of market research has paid off for Lego in
the development of a highly successful product line. Based on their observations, Lego developed Lego Friends sets. These sets consist of five female mini-figures living in the fictional city of Heartlake City. These sets were developed in a variety of colors that young girls seem to prefer, including pink, turquoise, and lavender. The colors were not without controversy as some consumers were concerned that Lego Friends reinforced gender stereotypes. However, they became a hit among young girls. Lego Friends sold twice as well as expected and has helped The LEGO Group triple its revenue since 2007.
One reason for Lego’s recent success might be due to its
tendency to step outside of the box. A decade ago, the future of Lego as an independent firm was threatened, forcing the CEO to revamp operations and re-position the firm. Lego’s emphasis on adults and young girls—as well as its strong partnerships with companies like Mar-vel—have come far in rejuvenating the firm. Another way that Lego is able to solicit creative ideas is by getting fans actively involved. Lego has a crowd-sourcing platform through a Japanese partner called Lego Ideas. The platform solicits consumer-generated ideas for new play sets. Con-sumers can submit their ideas and vote
for the sets they think should be developed into new prod-ucts. Lego reviews those ideas that receive 10,000 or more votes for possible development. If an idea is chosen for devel-opment, the creator of the idea receives one percent of the product’s total net sales. This is a benefit for Lego because it helps generate new product ideas that it might not have con-sidered on its own. Lego also ensures that its employees are creative contributors. Job applicants interested in design jobs with Lego are invited to sketch and build Lego sets that will be reviewed by the firm to see if the applicant is a good fit. Lego continues to use marketing research to determine
new opportunities for product lines. The firm has even used MRI scans of children at play to examine which parts of the
brain light up during interactions with specific toys. This use of new and advanced tools for marketing research is inte-gral for Lego to maintain its top spot as the world’s largest toymaker.66
Questions for Discussion
1. Describe the marketing research process Lego under-took to develop Lego Friends. Why do you think this was important to the product’s success?
2. How does Lego get consumers involved in marketing research?
3. Why is it important for Lego to use new tools to continu-ally gather market research from its target markets?

You are the Mayor of Stone Harbor. Draft a Budget Message for the Town of Stone

Harbor Based on the following Facts:

1. The Town has a huge surplus

2. All the usual programs and services will be fully funded.

3. Propose some new innovative programs for the Town. Be specific and detailed in your plans.

4. The Town has an interesting make up of constituents. Half the town consists of young families

with school age children. The other half is composed of retirees.

Use the following information to ensure successful completion of the assignment:

• Researchers wanted to explore self-esteem in adolescent boys and adolescent girls. Each respondent completed a 10-item self-esteem scale (they chose one rating for each item from a Likert-type scale, 1 = strongly disagree and 5 = strongly agree). The sum of the 10 ratings was each respondent's self-esteem score. Their results were: t = 2.01, d = .90 (40 girls, 40 boys).
• This assignment uses a rubric. Please review the rubric prior to beginning the assignment to become familiar with the expectations for successful completion.
• Doctoral learners are required to use APA style for their writing assignments. The APA Style Guide is located in the Student Success Center.
• This assignment requires that at least two additional scholarly research sources related to this topic, and at least one in-text citation from each source be included.

Directions:

In an essay (250-500 words), use the scenario presented above to thoroughly answer the following questions:

1. What statistical test did the researchers use to determine if there was a statistically significant difference in levels of self-esteem between the boys and the girls?
2. What was the purpose of calculating a Cohen's d? When is a Cohen's d calculated? Interpret d=.90. What does it mean in this example?
3. What if the researcher compared the adolescent boys before treatment and again after treating them for depression? What type of t-test would be most appropriate in this case, and why?

Biopsychology question

What is wrong with these statements:

Part 1) Heritability of enuresis (bed wetting) is 33% in boys and 10% in girls. Therefore, a boy is more affected by his genes (genes associated with bed wetting) than girls are affected by their genes (genes associated with bed wetting).

Part 2) Genes and environments always interact within an individual; heritability can tell us nothing about that interaction.

Gender of a Children: A couple has 4 children . Find each probability

A. exactly two girls and two boys

B. At least one child who is a girl

C. At least one child of each Gender.

If a family has six children, is it more likely they will have three boys and three girls, or four of one gender and two of the other? Assume each child is a boy or a girl with equal probability, independently of other children.