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We are interested in whether the proportions of female suicide victims for ages 15 to 24 are the same for the whites and the blacks races in the United States. We randomly pick one year, 1992, to compare the races. The number of suicides estimated in the United States in 1992 for white females is 4,930. Five hundred eighty were aged 15 to 24. The estimate for black females is 330. Forty were aged 15 to 24. We will let female suicide victims be our population.

Short Answer

Expert verified
The proportions of female suicide victims aged 15 to 24 are 11.76% for whites and 12.12% for blacks in 1992.

Step by step solution

01

Determine the Proportions

First, calculate the proportion of female suicide victims aged 15 to 24 for each race group. For white females, divide the number of suicide victims aged 15 to 24 by the total number of suicide victims: \(P_{white} = \frac{580}{4930}\). For black females, use the same method: \(P_{black} = \frac{40}{330}\).
02

Calculate the Proportions

Now, perform the calculations: \(P_{white} = \frac{580}{4930} \approx 0.1176\) or 11.76%, and \(P_{black} = \frac{40}{330} \approx 0.1212\) or 12.12%.
03

Compare the Proportions

Compare the proportions calculated in the previous step: 11.76% for white females and 12.12% for black females. Analyze whether the difference is significant or not. Here, the proportions are close, indicating similar proportions for the age group 15 to 24 in both races.

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Key Concepts

These are the key concepts you need to understand to accurately answer the question.

Racial Comparison
When engaging in a racial comparison in statistical studies, especially concerning sensitive topics such as suicide rates, it's crucial to handle the data analytically and empathetically. Racial comparison often entails analyzing differences or similarities between racial groups. This approach aims to uncover insights that can guide public health interventions and policies. In our study, we compare the proportions of young female suicide victims from white and black races in the U.S.
It's important to recognize that racial comparisons can reveal disparities but shouldn't perpetuate stereotypes or biases. Instead, such comparisons should aim to identify areas where targeted support and resources are needed. The data from 1992 shows that the proportions of young female suicide victims between these races are close yet slightly different.
While the proportion for white females (aged 15 to 24) is 11.76% and for black females is 12.12%, a racial comparison helps us to evaluate whether these figures are statistically significant. Understanding these differences or similarities can be an essential step in addressing underlying social and economic factors that may contribute to these rates.
Proportions
Proportions are a key statistic that represent the relationship between a part and its whole. When analyzing a public health issue like suicide, proportions give valuable insight into the prevalence among different subgroups.
To calculate a proportion, divide the subgroup number by the total group number. In our example, for the race of white females, the proportion is found by dividing the suicide victims aged 15 to 24, by the total number of white female suicide victims: \(P_{white} = \frac{580}{4930} \approx 0.1176\) or 11.76%. For black females, the calculation is similar: \(P_{black} = \frac{40}{330} \approx 0.1212\) or 12.12%.
Understanding these proportions helps in making informed decisions regarding public health policies and prevention efforts. Proportions can identify trends and focus attention on subgroups that may need additional resources or intervention. In this context, knowing that young black females have a slight edge in suicide proportions compared to young white females could lead to targeted suicide prevention measures.
Suicide Statistics
Suicide statistics provide crucial insights into mental health trends and vulnerabilities within different demographics. They are essential for directing public policies, funding, and mental health resources effectively. However, gathering and interpreting these statistics requires nuance and sensitivity.
In our example from 1992, where we look at female suicide rates among 15 to 24-year-olds, the raw data tells us that among white females there were 580 suicides in this age group from a total of 4,930, while black females had 40 from a total of 330. These raw figures alone highlight the total number affected but do not explain the risk or proportionality without conversion into the percentages previously discussed.
Suicide statistics, when contextualized correctly, can highlight crucial disparities or affirm similarities in demographics. This understanding emphasizes the importance of continuing research to uncover trends over time, evaluate the effectiveness of interventions, and drive awareness in communities at risk. By leveraging such statistics, health systems can innovate and implement prevention plans better tailored to the needs of different racial groups.

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Most popular questions from this chapter

Use the following information to answer the next three exercises. Neuroinvasive West Nile virus is a severe disease that affects a person鈥檚 nervous system . It is spread by the Culex species of mosquito. In the United States in 2010 there were 629 reported cases of neuroinvasive West Nile virus out of a total of 1,021 reported cases and there were 486 neuroinvasive reported cases out of a total of 712 cases reported in 2011. Is the 2011 proportion of neuroinvasive West Nile virus cases more than the 2010 proportion of neuroinvasive West Nile virus cases? Using a 1% level of significance, conduct an appropriate hypothesis test. 鈥 鈥2011鈥 subscript: 2011 group. 鈥 鈥2010鈥 subscript: 2010 group This is: a. a test of two proportions b. a test of two independent means c. a test of a single mean d. a test of matched pairs.

Use the following information to answer next five exercises. A study was conducted to test the effectiveness of a juggling class. Before the class started, six subjects juggled as many balls as they could at once. After the class, the same six subjects juggled as many balls as they could. The differences in the number of balls are calculated. The differences have a normal distribution. Test at the 1% significance level. $$ \begin{array}{|c|c|c|c|c|c|}\hline \text { Subject } & {\mathbf{A}} & {\mathbf{B}} & {\mathbf{c}} & {\mathbf{D}} & {\mathbf{E}} & {\mathbf{F}} \\\ \hline \text { Before } & {3} & {4} & {3} & {2} & {4} & {5} \\ \hline \text { After } & {4} & {5} & {6} & {4} & {5} & {7} \\ \hline\end{array} $$ What is the p-value?

Use the following information to answer the next 15 exercises: Indicate if the hypothesis test is for a. independent group means, population standard deviations, and/or variances known b. independent group means, population standard deviations, and/or variances unknown c. matched or paired samples d. single mean e. two proportions f. single proportion It is believed that 70% of males pass their drivers test in the first attempt, while 65% of females pass the test in the first attempt. Of interest is whether the proportions are in fact equal.

Parents of teenage boys often complain that auto insurance costs more, on average, for teenage boys than for teenage girls. A group of concerned parents examines a random sample of insurance bills. The mean annual cost for 36 teenage boys was \(679. For 23 teenage girls, it was \)559. From past years, it is known that the population standard deviation for each group is $180. Determine whether or not you believe that the mean cost for auto insurance for teenage boys is greater than that for teenage girls.

Use the following information to answer the next five exercises. Two metal alloys are being considered as material for ball bearings. The mean melting point of the two alloys is to be compared. 15 pieces of each metal are being tested. Both populations have normal distributions. The following table is the result. It is believed that Alloy Zeta has a different melting point. $$\begin{array}{|l|l|l|}\hline & {\text { Sample Mean Melting Temperatures }\left(^{\circ} F\right)} & {\text { Population Standard Deviation }} \\\ \hline \text { Alloy Gamma } & {800}&{95} \\ \hline \text { Alloy zeta } & {900} &{105} \\ \hline\end{array}$$ What is the p-value?

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