One of the most contentious contemporary debates in educational policy is the relative efficacy of charter-vs-public schools
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ANSWER ALL QUESTIONS
QUESTION #1
One of the most contentious contemporary debates in educational policy is the relative efficacy of charter-vs-public schools. The average graduation rate in the Newark Public Schools is 55%. You compile the graduation rate in 10 charter schools and noticed that their graduation rate is 65%, with a standard deviation of 13. Are charter schools more successful in graduating their students than public schools in the City of Newark, NJ?
• What are the null and alternative hypotheses for this test?
• Is this a one-tail or two-tail test? Explain your choice
• What is the level of significance of this test (use 0.01)?
• How many degrees of freedom are there?
• What is the critical value of the t-statistic?
• Draw a normal curve, enter the critical value on the normal curve you have just drawn, and shade the rejection region.
• Compute the value of the t-statistic.
• Enter the t-value you have just computed on the normal curve you drew in (6)
• Should we reject the null hypothesis? Why or why not?
• What is your conclusion
QUESTION #2
A study conducted by a Research Institute in America revealed that the average number of hours prison inmates spend in their cells each day is 15. You conduct your own study in 7 New Jersey prisons and jails and came up with the following sample data
|
Facility #
|
Hours spent in cells per day
|
|
1
|
16.3
|
|
2
|
21.1
|
|
3
|
14.9
|
|
4
|
13.5
|
|
5
|
22.2
|
|
6
|
15.3
|
|
7
|
18.1
|
Test the hypothesis that the number of hours New Jersey prisoners spend in their jail cells is significantly different from the national average.
What are the null and alternative hypotheses for this test?
Is this a one-tail or two-tail test? Explain your choice
What is the level of significance of this test (use 0.01)?
How many degrees of freedom are there?
What is the critical value of the t-statistic?
Draw a normal curve, enter the critical value on the normal curve you have just drawn, and shade the rejection region.
Compute the value of the t-statistic.
Enter the t-value you have just computed on the normal curve you drew in (6)
Should we reject the null hypothesis? Why or why not?
What is your conclusion?
QUESTION #3
The National Rifle Association contends that the average American household contains 3 firearms. You take a random sample of 200 households in Newark and noticed the average number of firearms is 3.3, with a standard deviation of 1.1. Are the Newark households significantly more likely to own firearms than the rest of the country?
• What are the null and alternative hypotheses for this test?
• Is this a one-tail or two-tail test? Explain your choice
• What is the level of significance of this test (use 0.05)?
• How many degrees of freedom are there?
• What is the critical value of the t-statistic?
• Draw a normal curve, enter the critical value on the normal curve you have just drawn, and shade the rejection region.
• Compute the value of the t-statistic.
• Enter the t-value you have just computed on the normal curve you drew in (6)
• Should we reject the null hypothesis? Why or why not?
• What is your conclusion
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