Verified Document

Proportions And Performing Of Hypothesis Tests Research Paper

PART

1. An opinion poll asks a random sample of 100 college juniors how they view their job prospects once they graduate. Out of the 100 students 53 said Excellent. Find a 95% confidence interval to estimate the proportion of college juniors who think their job prospects are excellent. Assume large samples.

The random sample is equivalent to 100 college juniors

From this sample, 53 of them considered their job prospects to be excellent, which is equivalent to 0.53.

A 95% confidence interval implies that in the event that 100 different kinds of samples are taken into consideration and a 95% confidence interval is calculated for every sample, then roughly 95 out of the 100 confidence intervals will have the true mean value, which is

To construct a 95% confidence interval for a population, mean , the correct critical value of z* (Sprinthall, 2003) is P (-1.96 < Z < 1.96) = 0.95

The test statistic is 0.7019

The confidence interval is (0.6808, 0.7019)

2. In 1999, the Bureau of Justice Statistics3 indicated that 14% of violent crimes are committed by women. Suppose that a random sample of 400 people who committed violent crimes was taken and it was determined that 65 of the 400 were women. Find a large-sample 95% confidence interval based on the sample data. Determine if the 14%...

The IRS is trying to determine which percentage of tax returns claim itemized deductions. A random sample of 2,000 returns was taken and the IRS found...
…claims that 30% of tax filers claim itemized deductions. A random sample of 2,000 returns was taken and the IRS found that 663 claimed itemized deductions. Test the claim using the four-step process. Use a significance level of 0.10. Then, compare this problem to Problem 3 of Part 1.

State:

Null Hypothesis: 30% of the tax filers claim itemized deductions

Alternate Hypothesis: 30% of the tax filers do not claim itemized deductions

Plan:

A sample is selected from the population, and a sample mean is measured. The random sample taken encompasses a total of 2,000 returns. From this figure, the IRS determined that 663 tax filers claimed itemized deductions.

Solve:

This is equivalent to:

(663 / 2,000) * 100 = 33.15% or 0.3315

Conclude:

A member of the IRS makes a claim that 30% of the tax filers claim itemized deductions. This is equivalent to 0.3. From the question, the test statistic is 0.3315. The significance level used is 0.10. Taking…

Sources used in this document:

References

Seber, G. A. (2013). Statistical models for proportions and probabilities. New York: Springer.

Sprinthall, R. C. (2003). Basic statistical analysis. Allyn & Bacon.

Cite this Document:
Copy Bibliography Citation

Related Documents

Execution of Nonparametric Hypothesis Tests
Words: 1234 Length: 5 Document Type: Data Analysis Chapter

PART 11. a) What is the nonparametric alternative to a 1-sample t test for means?The non-parametric alternative to a 1-sample t test for means is the Wilcoxon signed-rank testb) What is the nonparametric alternative to a 2-sample t test for means?The non-parametric alternative to a 2-sample t test for means is the Wilcoxon 2-sample rank-sum testc) A test to see if three or more means are equal is called ANOVA

Tests and Measurements
Words: 3787 Length: 10 Document Type: Term Paper

Tests and Measurements The activities of the classrooms are revealed to the learners, instructors and the institutions through administering normalized tests. They encompass gathered knowledge in reading, mathematics, and English for learners starting from kindergarten up to the high school level. Several instructors detest from organizing and evaluating tests and a majority of the students are scared of appearing in them. But tests are potent didactic instruments which provide at the

Tests Are Regularly Used Nowadays to Measure
Words: 1106 Length: 4 Document Type: Term Paper

tests are regularly used nowadays to measure intelligence Alfred Binet and Theodore Simon invented in 1905 what has come to be acknowledged as the first scale. This initial test was aimed at ?identifying children who were mildly or perhaps more seriously retarded? (Mackintosh, 2011, p. 5) by evaluating their performance and delegating specific task sets so as any average child pertaining to a given age group could solve approximately

Hypothesis Testing
Words: 764 Length: 3 Document Type: Term Paper

global warming. One of the arguments in favor of this being an issue is that temperatures have increased over time, since humans began burning fossil fuels. There are a number of ways to look at the issue, but one thing that has not received much consideration is that baseline data, which is taken from urban areas, may be skewed by other factors besides anthropogenic global warming. One factor that

Hypothesis Testing
Words: 677 Length: 2 Document Type: question answer

-Provide an example of a hypothesis where a one-tailed hypothesis test would be used. An example of a one-tailed test is testing the claim that the mean score of the gender male is higher than the scores of the gender female in public institutions. -Provide an example of a hypothesis where a two-tailed hypothesis test would be used. An example in this case is testing the claim that the mean scores between the gender male

Sign Up for Unlimited Study Help

Our semester plans gives you unlimited, unrestricted access to our entire library of resources —writing tools, guides, example essays, tutorials, class notes, and more.

Get Started Now