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Chapter 10: Problem 102

A recent year was randomly picked from 1985 to the present. In that year, there were 2,051 Hispanic students at Cabrillo College out of a total of 12,328 students. At Lake Tahoe College, there were 321 Hispanic students out of a total of 2,441 students. In general, do you think that the percent of Hispanic students at the two colleges is basically the same or different?

Short Answer

Expert verified
The percent of Hispanic students at the two colleges is different.

Step by step solution

01

Calculate the Percentage of Hispanic Students at Cabrillo College

To find the percentage of Hispanic students at Cabrillo College, use the formula for percentage: \[\text{Percentage} = \left( \frac{\text{Number of Hispanic students}}{\text{Total number of students}} \right) \times 100\] Plugging in the numbers for Cabrillo College:\[\text{Percentage} = \left( \frac{2051}{12328} \right) \times 100 \approx 16.64\%\]
02

Calculate the Percentage of Hispanic Students at Lake Tahoe College

Use the same percentage formula for Lake Tahoe College:\[\text{Percentage} = \left( \frac{\text{Number of Hispanic students}}{\text{Total number of students}} \right) \times 100\] Plugging in the numbers for Lake Tahoe College:\[\text{Percentage} = \left( \frac{321}{2441} \right) \times 100 \approx 13.15\%\]
03

Compare the Percentages

Compare the percentages calculated for both colleges:- Cabrillo College: \(16.64\%\)- Lake Tahoe College: \(13.15\%\)The percentages of Hispanic students at the two colleges are different since \(16.64\%\) is greater than \(13.15\%\).

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Key Concepts

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

Hispanic Students
Hispanic students form an important demographic in many educational institutions across the United States. Understanding the percentage of Hispanic students at a college helps give insight into the diversity of the student body.
  • The percentage represents the proportion of Hispanic students relative to the entire student population.
  • This can reflect the college's inclusivity and appeal to different cultural backgrounds.
  • Higher percentages may indicate stronger recruitment or greater access for Hispanic communities.
Calculating these percentages requires basic mathematical skills, whereby you take the number of Hispanic students and divide it by the total number of students. Multiplying by 100 converts this fraction to a percentage. This practical application of percentages is a crucial tool in educational statistics, helping to shape policy and outreach efforts.
Cabrillo College
Cabrillo College is an educational institution that, according to our calculations, had a higher percentage of Hispanic students compared to Lake Tahoe College. This can signify various things about Cabrillo College.
  • It may have programs and support systems that are attractive to Hispanic students.
  • Such institutions often have vibrant communities and diverse cultural events that draw in students from various backgrounds.
  • Percentage calculation: For example, the college had 2,051 Hispanic students out of 12,328 total students.
The calculation showed that Cabrillo College had around 16.64% Hispanic student representation. When you see a percentage like this, it could also reflect regional demographics, highlighting the college's role within a largely Hispanic community.
Lake Tahoe College
Lake Tahoe College had a lower percentage of Hispanic students compared to Cabrillo College, sitting at approximately 13.15%. This difference, though small, may still hint at varying levels of diversity or student interest.
  • Such a percentage reflects how this college might serve a more varied or different demographic profile.
  • It may also indicate different recruiting focus or geographic factors influencing student make-up.
  • Example calculation: Lake Tahoe College had 321 Hispanic students out of 2,441 total students.
Understanding these figures helps to appreciate the context and composition of the college鈥檚 student body. While not dramatically different from Cabrillo, knowing these numbers could impact how the college tailors its outreach and support programs to enrich the student experience.

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Most popular questions from this chapter

Use the following information to answer the next 12 exercises: The U.S. Center for Disease Control reports that the mean life expectancy was 47.6 years for whites born in 1900 and 33.0 years for nonwhites. Suppose that you randomly survey death records for people born in 1900 in a certain county. Of the 124 whites, the mean life span was 45.3 years with a standard deviation of 12.7 years. Of the 82 nonwhites, the mean life span was 34.1 years with a standard deviation of 15.6 years. Conduct a hypothesis test to see if the mean life spans in the county were the same for whites and nonwhites. State the null and alternative hypotheses. a. \(H 0 :\) b. \(H_{a} :\)

Use the following information to answer the next ten exercises. indicate which of the following choices best identifies the hypothesis test. 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 A recent drug survey showed an increase in use of drugs and alcohol among local high school students as compared to the national percent. Suppose that a survey of 100 local youths and 100 national youths is conducted to see if the proportion of drug and alcohol use is higher locally than nationally.

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.

Use the following information to answer the next five exercises. A study was conducted to test the effectiveness of a software patch in reducing system failures over a six-month period. Results for randomly selected installations are shown in Table 10.21. The 鈥渂efore鈥� value is matched to an 鈥渁fter鈥� value, and the differences are calculated. The differences have a normal distribution. Test at the 1% significance level. $$ \begin{array}{|l|l|l|l|l|l|l|}\hline \text { Installation } & {\mathbf{A}} & {\mathbf{B}} & {\mathbf{C}} & {\mathbf{D}} & {\mathbf{E}} & {\mathbf{F}} & {\mathbf{G}} & {\mathbf{H}} \\ \hline \text { Before } & {3} & {6} & {4} & {2} & {5} & {8} & {2} & {6} \\ \hline \text { After } & {1} & {5} & {2} & {0} & {1} & {0} & {2} & {2} \\ \hline\end{array} $$ What is the p-value?

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.
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