Question

In: Statistics and Probability

In 2010, the Maricopa Community College District's enrollment data showed the following breakdown of students by...

In 2010, the Maricopa Community College District's enrollment data showed the following breakdown of students by ethnicity: 54.9% White; 21.1% Hispanic; 7.9% Black; 4.5% Asian/Pacific Islander; 2.9% Native American; 8.8% Other. Information was collected from a random sample 0f 300 students in 2017 to determine whether or not the data has changed significantly. The sample data is given in the table below. At the α=0.10α=0.10 level of significance, test the claim that the ethnic breakdown of students at MCCCD has not changed significantly since 2010.

Which would be correct hypotheses for this test?

  • H0:μ1=μ2H0:μ1=μ2; H1:μ1≠μ2H1:μ1≠μ2
  • H0:H0:The breakdown of students by ethnicity has not changed significantly since 2010 (i.e. the given distribution still fits); H1:H1:The breakdown of students by ethnicity has changed significantly since 2010 (i.e. the given distribution no longer fits)
  • H0:p1=p2H0:p1=p2; H1:p1≠p2H1:p1≠p2
  • H0:H0:The breakdown of students by ethnicity has changed significantly since 2010 (i.e. the given distribution no longer fits); H1:H1:The breakdwon of students by ethnicity has not changed significantly since 2010 (i.e. the given distribution still fits)



Ethnicity of students in sample:

Ethnicity Count
White 141
Hispanic 76
Black 26
Asian/Pacific Islander 8
Native American 15
Other 34



Test Statistic:



Give the P-value:



Which is the correct result:

  • Reject the Null Hypothesis
  • Do not Reject the Null Hypothesis



Which would be the appropriate conclusion?

  • There is enough evidence to suggest that the breakdown of students by ethnicity has changed significantly since 2010.
  • There is not enough evidence to suggest that the breakdown of students by ethnicity has changed significantly since 2010.

Solutions

Expert Solution

orchestra answered 1 year ago
Next > < Previous

Related Solutions

In 2010 the Maricopa Community College District's enrollment data showed the following breakdown of students by...
In 2010 the Maricopa Community College District's enrollment data showed the following breakdown of students by ethnicity: 54.9% White; 21.1% Hispanic; 7.9% Black; 4.5% Asian/Pacific Islander; 2.9% Native American; 8.8% Other. Information was collected from a random sample of 300 students in 2017 to determine whether or not the data has changed significantly. The sample data is given in the table below. At the alph=0.05 level of significance, test the claim that the ethnic breakdown of students at MCCCD has...
in 2010, the Maricopa Community College District's enrollment data showed the following breakdown of students by...
in 2010, the Maricopa Community College District's enrollment data showed the following breakdown of students by ethnicity: 54.9% White; 21.1% Hispanic; 7.9% Black; 4.5% Asian/Pacific Islander; 2.9% Native American; 8.8% Other. Information was collected from a random sample 0f 300 students in 2017 to determine whether or not the data has changed significantly. The sample data is given in the table below. At the  α=0.05 level of significance, test the claim that the ethnic breakdown of students at MCCCD has not...
In 2006​, there were 11,300 students at college​ A, with a projected enrollment increase of 800...
In 2006​, there were 11,300 students at college​ A, with a projected enrollment increase of 800 students per year. In the same​ year, there were 30,900 students at college​ B, with a projected enrollment decline of 600 students per year. According to these​ projections, when will the colleges have the same​ enrollment? What will be the enrollment at that​ time?
2. A simple random sample of 1oo community college students was selected from alarge community college....
2. A simple random sample of 1oo community college students was selected from alarge community college. The gender of each student was recorded, and each student was asked the following questions. 1. Have you ever had a part time job? 2. If you answered yes to the previous question, was your part-time job in the summer only? The responses are summarized in the table below. Job Experience · 'iINever had a part-time job F· -------··-·- -~--·-····- ---·---· -·--- ---- ....
In a recent survey of 150 students at a large community college, 86 students said they...
In a recent survey of 150 students at a large community college, 86 students said they were “regular” coffee drinkers. It is known that 64% of all students at that community college are “regular” coffee drinkers. Use this information to compute necessary quantities, and fill in the blanks: The average distance between the values of the sample proportion (from all possible random samples of 150 students from this community college) of "regular" coffee drinkers and the population proportion 0.64 of...
According to the 2016 CCSSE data from about 430,000 community college   students nationwide, about 13.5% of...
According to the 2016 CCSSE data from about 430,000 community college   students nationwide, about 13.5% of students reported that they “often” or “very often” come to class without completing readings or assignments. Are the results similar at community colleges in California? Specifically, let’s test the claim that California students are different. Use a 5% level of significance. Suppose that the CCSSE is given in California to a random sample of 500 students and 10.5% report that they “often” or “very...
A survey of 200 college students showed the distribution of the number of hours of TV...
A survey of 200 college students showed the distribution of the number of hours of TV watched per week. The mean was found to be 3.66 hours with a standard deviation of 4.93. Assume the normal model is appropriate. Find the number of hours of TV watched by top 25% of college students.
In a simple random sample of 51 community college statistics students, the mean number of college...
In a simple random sample of 51 community college statistics students, the mean number of college credits completed was x=50.2 with standard deviation s = 8.3. Construct a 98% confidence interval for the mean number of college credits completed by community college statistics students. Verify that conditions have been satisfied: Simple random sample?                            n > 30? Find the appropriate critical value Since σ is unknown, use the student t distribution to find the critical value tα2 on table A-3 Degrees...
Cars on Campus. Statistics students at a community college wonder whether the cars belonging to students...
Cars on Campus. Statistics students at a community college wonder whether the cars belonging to students are, on average, older than the cars belonging to faculty. They select a random sample of 11 cars in the student parking lot and find the average age to be 7.5 years with a standard deviation of 5.6 years. A random sample of 20 cars in the faculty parking lot have an average age of 4.2 years with a standard deviation of 4 years....
Cars on Campus. Statistics students at a community college wonder whether the cars belonging to students...
Cars on Campus. Statistics students at a community college wonder whether the cars belonging to students are, on average, older than the cars belonging to faculty. They select a random sample of 47 cars in the student parking lot and find the average age to be 9.7 years with a standard deviation of 6.5 years. A random sample of 48 cars in the faculty parking lot have an average age of 3 years with a standard deviation of 3.8 years....
ADVERTISEMENT
Subjects
ADVERTISEMENT
Latest Questions
ADVERTISEMENT