An increased number of colleges have been using online resources to research applicants. According to a study from last​ year, 31​% of admissions officers indicated that they visited an applying​ student's social networking page. A random sample of 400 admissions officers was recently selected and it was found that 126 of them visit the social networking sites of students applying to their college. Using alphaequals0.05​, complete parts a and b below. a. Does this sample provide support for the hypothesis that the proportion of admissions officers who visit an applying​ students' social networking page has increased in the past​ year? Determine the null and alternative hypotheses. Choose the correct answer below. A. Upper H 0​: pequals0.31 Upper H 1​: pnot equals0.31 B. Upper H 0​: pless than or equals0.31 Upper H 1​: pgreater than0.31 C. Upper H 0​: pgreater than0.31 Upper H 1​: pless than or equals0.31 D. Upper H 0​: pgreater than or equals0.31 Upper H 1​: pless than0.31 Determine the critical​ value(s) of the test statistic.

Consider the hypotheses below. Upper H 0​: mu greater than or equals 65 Upper H 1​: mu less than 65 Given that x overbar equals 57.3​, s equals 9.7​, nequals25​, and alphaequals0.10​, complete parts a and b below. ​a) What conclusion should be​ drawn? Determine the critical​ value(s). The critical​ value(s) is(are) nothing. ​(Round to three decimal places as needed. Use a comma to separate answers as​ needed.) Determine the test​ statistic, t Subscript x overbar. t Subscript x overbarequals nothing ​(Round to two decimal places as​ needed.) What conclusion should be​ drawn? A. Do not reject Upper H 0. There is not sufficient evidence to conclude that muless than65. B. Reject Upper H 0. There is not sufficient evidence to conclude that muless than65. C. Do not reject Upper H 0. There is sufficient evidence to conclude that muless than65. D. Reject Upper H 0. There is sufficient evidence to conclude that muless than65. ​b) Use technology to determine the​ p-value for this test. ​p-valueequals nothing ​(Round to three decimal places as​ needed.)

Hanna Properties, Inc. specializes in custom home resales in Equestrian Estates. A random sample of 8 currently listed homes provided the following information on size of home and the price of the home. The size data are in hundreds of square feet, rounded to the nearest hundred, and the price data are in thousands of dollars, rounded to the nearest thousand.

a) Compute the regression equation for price in terms of size.

b) Interpret the meaning of the regression parameters.

c) Compute r and r².  Interpret these statistics

d) Based upon the model above, what would be the predicted sales price of a home that is 3100 square feet?

What I have so far is bold.

Question: The Mars company claims that 13 percent of M&M’s plain candies distributed into bags are brown. Investigate this claim with an appropriate hypothesis test. Use a significance level of α = 0.05.

1. What is the parameter of interest in this situation? Brown M&Ms = .13

2. Null hypothesis: Ho: p= .13

3. Alternative hypothesis: Ha: p does not = .13

4.

5. What test should we use for this hypothesis?

6. Briefly explain the process of performing the hypothesis test with the TI calculator.

7. The p-value for this test statistic is: _______________.

8. Conclusion: We REJECT/DO NOT REJECT the null hypothesis. (Circle the correct answer)

9. State what this conclusion means in terms of the problem.

In a recent study of enterprise resource planning​ (ERP) system​ effectiveness, researchers asked companies how they assessed the success of their ERP systems. Out of 360 manufacturing companies​ surveyed, they found that 201 used return on investment​ (ROI), 110 used reductions in inventory​ levels,42 used improved data​ quality, and 7 used​ on-time delivery. In a survey of 860 service​ firms,470 used​ ROI,260 used inventory​ levels,100 used improved data​ quality, and 30 used​ on-time delivery. Is there evidence that the measures used to assess ERP system effectiveness differ between service and manufacturing​ firms? Perform the appropriate test and state your conclusion.

State the null and alternative hypothesis.

A. Determine the χ2 statistic. ​(Round to three decimal places as​ needed.)

B. What is the P-Value (Round answer to three decimal places as needed)

What is the proper conclusion? at the significance level x equals=0.05.

The director of the IRS has been flooded with complaints that people must wait more than 45 minutes before seeing an IRS representative. To determine the validity of these complaints, the IRS randomly selects 400 people entering IRS offices across the country and records the times that they must wait before  seeing an IRS representative. The average waiting time for the sample is 55 minutes with a standard deviation of 15 minutes.

Are the complaints substantiated by the data at alpha level of 0.10?

**** Please include all these Steps in order****

Step 1 : Define the hypothesis to be tested for Null hypothesis and Alternative hypothesis.

Step 2: Select the appropriate statistical measure, such as the population mean, proportion, or variance

Step 3: Determine whether the alternative hypothesis should be one-sided or two-sided.

Step 4: State the hypotheses using the statistical measure found in Step 2

Step 5: Specify α, the level of the test. α =_______

Step 6: Select the appropriate test statistic based on the information at hand and the assumptions you willing to make. Normal distribution

Step 7 : Determine the critical value of the test statistic

Step 8: Collect sample data and compute the value of the test statistic.

Step 9: Make the decision

Step 10 : State the conclusion in terms of the original question

Let x = age in years of a rural Quebec woman at the time of her first marriage. In the year 1941, the population variance of x was approximately σ² = 5.1. Suppose a recent study of age at first marriage for a random sample of 41 women in rural Quebec gave a sample variance s² = 2.9. Use a 5% level of significance to test the claim that the current variance is less than 5.1. Find a 90% confidence interval for the population variance.

(a) What is the level of significance?


State the null and alternate hypotheses.

H_o: σ² = 5.1; H₁: σ² > 5.1H_o: σ² = 5.1; H₁: σ² < 5.1    H_o: σ² < 5.1; H₁: σ² = 5.1H_o: σ² = 5.1; H₁: σ² ≠ 5.1

(b) Find the value of the chi-square statistic for the sample. (Round your answer to two decimal places.)


What are the degrees of freedom?


What assumptions are you making about the original distribution?

We assume a binomial population distribution.We assume a exponential population distribution.    We assume a normal population distribution.We assume a uniform population distribution.

(c) Find or estimate the P-value of the sample test statistic.

P-value > 0.1000.050 < P-value < 0.100    0.025 < P-value < 0.0500.010 < P-value < 0.0250.005 < P-value < 0.010P-value < 0.005

(d) Based on your answers in parts (a) to (c), will you reject or fail to reject the null hypothesis?

Since the P-value > α, we fail to reject the null hypothesis.Since the P-value > α, we reject the null hypothesis.    Since the P-value ≤ α, we reject the null hypothesis.Since the P-value ≤ α, we fail to reject the null hypothesis.

(e) Interpret your conclusion in the context of the application.

At the 5% level of significance, there is insufficient evidence to conclude that the variance of age at first marriage is less than 5.1.At the 5% level of significance, there is sufficient evidence to conclude that the that the variance of age at first marriage is less than 5.1.    

(f) Find the requested confidence interval for the population variance. (Round your answers to two decimal places.)

Interpret the results in the context of the application.

We are 90% confident that σ² lies outside this interval.

We are 90% confident that σ² lies below this interval.    

We are 90% confident that σ² lies within this interval.

We are 90% confident that σ² lies above this interval.

You conduct a study of employee stress levels within your organization, finding these scores: 3.16, 2.12, 5.12, 3.21, 1.11, 4.32, 4.87, 3.79. The test manual you received when ordering the stress survey says that, on average, scores on this test vary by 1.25. Identify the appropriate confidence interval for the mean.

(PLEASE TYPE THE ANSWERS)(STATISTICS 500)

instructions : describe a research study in your area of study Introduction: Description of the study including the purpose and importance of the research question being asked. What is your null hypothesis? What is your research or alternative hypothesis?

Participants/Sampling Method: Describe the sample collected for the study, as well as the sampling method. How were your participants selected? Who is your population of interest? If you did a survey, how many will you survey to ensure your target sample size? How did you come up with that number? What do you expect your response rate to be? What was your sample size? How representative is the sample of the population under study? Procedures: How were the data collected? Was a survey or questionnaire used to collect data? What are the independent and dependent variables? How are the variables defined and measured? Are the variables nominal, ordinal, interval, or ratio measurement scales? Are the data collected in a way that avoids bias? What is your selected alpha level?

Data Analysis: What statistical test was used to analyze the data? Describe the statistical test. What are the requirements? Did you meet those requirements? Describe why your selected method was appropriate to answer your research question. Make up a test statistic value. Given that value, do you reject or fail to reject the null hypothesis? Is your p < .05 or p > .05 (assuming alpha = .05)? Results & Discussion: Did your analysis answer your research question? Explain. What are the practical implications of your results?

In a survey of 250 commuters, 180 were found to have a commute of less than 30 minutes.

1. Find the 90% confidence interval of the true proportion of commuters who have a commute of less than 30 minutes.
2. Find the 95% confidence interval of the true proportion of commuters who have a commute of less than 30 minutes.

Do calculation by hand and in the statistical program of choice.                 

       Given this dataset: 3,6,2,1,2,3,4

1. Convert each of these values to a z-score.
2. What percentage of cases would you expect to fall below 2?
3. What score would be at the 90^th percentile?

An analyst at a local bank wonders if the age distribution of customers coming for service at his branch in town is the same as at the branch located near the mall. He selects 100 transactions at random from each branch and researches the age information for the associated customer. Use the table below to answer the questions.

1. What are the null and alternative hypotheses?

a. Ho: The age distributions of customers at the two branches are not the same.

     Ha: The age distributions of customers at the two branches are the same.

b. Ho: Age is not independent of branch.

    Ha: Age is independent of branch.

c. Ho: The age distributions of customers at the two branches are the same.

    Ha: The age distributions of customers at the two branches are not the same.

d. Ho: Age is independent of branch.

    Ha: Age is not independent of branch.

2. What type of test is this?

a. Chi-square goodness-of-fit-test

b. Chi-square test of independence

c. Chi-square test of homogeneity

3. What are the expected numbers for each cell if the null hypothesis is true?

4. Find the X2 statistic.

X2 =               (round to two decimal places)

5. How many degrees of freedom does the X2 statistic have?

df =

6. Find the critical value at alpha = 0.05

X2 =               (round to three decimal places)

7. What do you conclude?

The test statistic is (greater than or less than) the critical value. There is (insufficient or sufficient) evidence to reject Ho.

Explain

Null and Alternative Hypotheses

Hypothesis Tests for Differences between Population Means

Hypothesis Test for Equal Population Variances

Hypothesis Tests for Differences between Population Proportions

Prose rhythm is characterized as the occurrence of five-syllable sequences in long passages of text. This characterization may be used to assess the similarity among passages of text and sometimes the identity of authors. The following information is based on an article by D. Wishart and S. V. Leach appearing in Computer Studies of the Humanities and Verbal Behavior (Vol. 3, pp. 90-99). Syllables were categorized as long or short. On analyzing Plato's Republic, Wishart and Leach found that about 26.1% of the five-syllable sequences are of the type in which two are short and three are long. Suppose that Greek archaeologists have found an ancient manuscript dating back to Plato's time (about 427 - 347 B.C.). A random sample of 317 five-syllable sequences from the newly discovered manuscript showed that 61 are of the type two short and three long. Do the data indicate that the population proportion of this type of five syllable sequence is different (either way) from the text of Plato's Republic? Use α = 0.01.

(a) What is the level of significance? 0.01

State the null and alternate hypotheses.

H0: p = 0.261; H1: p > 0.261

H0: p ≠ 0.261; H1: p = 0.261

H0: p = 0.261; H1: p ≠ 0.261 CORRECT

H0: p = 0.261; H1: p < 0.261

(b) What sampling distribution will you use?

The standard normal, since n·p < 5 and n·q < 5.

The Student's t, since n·p > 5 and n·q > 5.

The standard normal, since n·p > 5 and n·q > 5. CORRECT

The Student's t, since n·p < 5 and n·q < 5.

What is the value of the sample test statistic? (Round your answer to two decimal places.) _______???

(c) Find the P-value of the test statistic. (Round your answer to four decimal places.) _________????

To prepare for this Assignment, imagine that you have information about how 20 nursing students and 20 psychology students felt about starting PSYC 3002 on Day 1 of this class. You want to know if nursing students and psychology students felt differently about embarking on the Introduction to Basic Statistics journey. You can find the data set for this Assignment in the Weekly Data Set forum found in the Discussions area of the course navigation menu.

By Day 7

To complete this Assignment, submit your answers to the following. Use SPSS to determine if academic program is related to feelings about PSYC 3002 by computing the appropriate chi square test.

1. Recall the four scales of measurement you learned about in Week 1 (i.e., nominal, ordinal, interval, ratio). Explain what scale of measurement is used to measure academic program in this example. How do you know?
2. Explain what scale of measurement is used to measure feeling about PSYC 3002. Explain how you know.
3. State whether this scenario requires a goodness of fit test or a test of independence. Explain your answer.
4. Before computing the chi square, state the null hypothesis and alternative hypothesis in words (not formulas).
5. Identify the obtained χ2 using SPSS and report it in your answer document.
6. State the degrees of freedom and explain how you calculated it by hand.
7. Identify the p value using SPSS and report it in your answer document.
8. Explain whether you should retain or reject the null hypothesis and why.
9. Are the results statistically significant? How do you know?
10. Explain what you can determine about the relationship between academic program and feelings about PSYC 3002.