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Are girls less inclined to enroll in science courses than boys? One study ("Intentions of Young Students to Enroll in Science Courses in the Future: An Examination of Gender Differences" (Science Education [1999]: \(55-76\) ) ?sked randomly selected fourth-, fifth-, and sixth-graders how many science courses they intend to take. The following data were obtained:

Short Answer

Expert verified
Without the actual numbers, a precise answer cannot be provided. However, the process would involve calculating and comparing the average number of science courses girls and boys intend to take based on their responses.

Step by step solution

01

Gather data

The first step is to gather the raw data from the study. This will include the number of science courses that each group (girls and boys) intends to take. The exact numbers are not provided here but would usually be part of the problem.
02

Calculate the averages

The next step involves calculating the average number of science courses that girls and boys intend to take. These averages can be calculated by using the formula for the mean, which is the sum of the values divided by the number of values.
03

Compare averages

Once the averages are calculated, they can be compared. If the average for boys is higher than that for girls, it would support the hypothesis that girls are less inclined to enroll in science courses than boys. Conversely, if the average for girls is higher, it would suggest that girls are more inclined to enroll in science courses.

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Key Concepts

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

Educational Gender Gap
The educational gender gap refers to the disparities in academic achievement and participation between girls and boys. Historically, this gap has seen boys outperforming girls in certain STEM (Science, Technology, Engineering, and Mathematics) fields, while girls have typically achieved higher in reading and language arts. Over time, efforts to address these disparities have been implemented, leading to significant shifts.

Understanding the educational gender gap is essential because it can influence career paths and economic opportunities later in life. Research indicates that early interest and encouragement in science are crucial for girls to pursue and succeed in these fields. Studies like the one mentioned explore these dynamics by examining the intentions and interests of young students.

To ensure that findings from such studies genuinely reflect the gender gap in science education, it's important to gather comprehensive data. This includes not just the intent to enroll in science courses but also factors such as classroom environment, teacher expectations, and societal attitudes towards gender roles in science.
Science Course Enrollment
The enrollment rates in science courses can serve as an indicator of interest and confidence in these subjects among students. It's not just about who is taking these courses, but also why certain demographics are more likely to enroll in them. The study in question investigates intent, which is a precursor to actual enrollment.

When addressing the topic of science course enrollment, it's important to understand the complexities that may influence a student's decision. These include the perceived relevance of science to their future, access to quality science education, and the presence of role models or mentors. Moreover, societal expectations and stereotypes can also affect a student's willingness to engage in science-related subjects.

For a clearer picture, educational systems often track enrollment data by gender. This helps educators identify trends and develop targeted interventions to encourage greater equality in science course participation. Efforts such as promoting female scientists as role models and implementing teacher training on gender equity in the classroom are key factors in bridging any existent gap.
Statistical Data Analysis
Statistical data analysis allows researchers to make sense of the raw data gathered in studies like the one mentioned. By applying statistical methods, such as calculating the mean or using t-tests for comparison, researchers can determine if the observed differences in course enrollment intentions are statistically significant or if they could be due to random chance.

For instance, averaging the number of intended science courses taken by gender helps to condense the raw data into a comprehensible format. Analysts must also consider the variability within each group and between groups. If the averages are quite different, this might suggest a trend, but it's the statistical significance that will indicate if the trend is reliable.

It's also crucial in statistical data analysis to examine the data for potential biases or external factors that may skew the results. Ensuring a random and representative sample, as in the aforementioned study, is one step towards reliability. Conclusively, statistical data analysis is essential for informing educational strategies and policies to promote gender equality in science education.

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Most popular questions from this chapter

"Doctors Praise Device That Aids Ailing Hearts" (Associated Press, November 9,2004 ) is the headline of an article that describes the results of a study of the effectiveness of a fabric device that acts like a support stocking for a weak or damaged heart. In the study, 107 people who consented to treatment were assigned at random to either a standard treatment consisting of drugs or the experimental treatment that consisted of drugs plus surgery to install the stocking. After two years, \(38 \%\) of the 57 patients receiving the stocking had improved and \(27 \%\) of the patients receiving the standard treatment had improved. Do these data provide convincing evidence that the proportion of patients who improve is higher for the experimental treatment than for the standard treatment? Test the relevant hypotheses using a significance level of \(.05\).

Suppose that you were interested in investigating the effect of a drug that is to be used in the treatment of patients who have glaucoma in both eyes. A comparison between the mean reduction in eye pressure for this drug and for a standard treatment is desired. Both treatments are applied directly to the eye. a. Describe how you would go about collecting data for your investigation. b. Does your method result in paired data? c. Can you think of a reasonable method of collecting data that would result in independent samples? Would such an experiment be as informative as a paired experiment? Comment.

The article "Spray Flu Vaccine May Work Better Than Injections for Tots" (San Luis Obispo Tribune, May 2,2006 ) described a study that compared flu vaccine administered by injection and flu vaccine administered as a nasal spray. Each of the 8000 children under the age of 5 that participated in the study received both a nasal spray and an injection, but only one was the real vaccine and the other was salt water. At the end of the flu season, it was determined that \(3.9 \%\) of the 4000 children receiving the real vaccine by nasal spray got sick with the flu and \(8.6 \%\) of the 4000 receiving the real vaccine by injection got sick with the flu. a. Why would the researchers give every child both a nasal spray and an injection? b. Use the given data to estimate the difference in the proportion of children who get sick with the flu after being vaccinated with an injection and the proportion of children who get sick with the flu after being vaccinated with the nasal spray using a \(99 \%\) confidence interval. Based on the confidence interval, would you conclude that the proportion of children who get the flu is different for the two vaccination methods?

The article referenced in the previous exercise also reported that \(24 \%\) of the males and \(16 \%\) of the females in the 2006 sample reported owning an MP3 player. Suppose that there were the same number of males and females in the sample of 1112 . Do these data provide convincing evidence that the proportion of females that owned an MP3 player in 2006 is smaller than the corresponding proportion of males? Carry out a test using a significance level of 01 .

The article "Movement and Habitat Use by Lake Whitefish During Spawning in a Boreal Lake: Integrating Acoustic Telemetry and Geographic Information Systems" (Transactions of the American Fisheries Society, [1999]: \(939-952\) ) included the accompanying data on weights of 10 fish caught in 1995 and 10 caught in \(1996 .\) \(\begin{array}{lllllllllll}1995 & 776 & 580 & 539 & 648 & 538 & 891 & 673 & 783 & 571 & 627\end{array}\) \(\begin{array}{lllllllllll}1996 & 571 & 627 & 727 & 727 & 867 & 1042 & 804 & 832 & 764 & 727\end{array}\) Is it appropriate to use the independent samples \(t\) test to compare the mean weight of fish for the 2 years? Explain why or why not.

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