### Statistical Analysis of Procrastination Among College Students#### Claim and HypothesisOne study reported that **86%** of college students identify themselves as procrastinators. A professor challenges this claim, suspecting that the percentage might be lower. To test this hypothesis, the professor conducts a simple random sample consisting of **139 college students**, finding that **110** of them identify as procrastinators.#### ObjectiveDetermine whether the professor's sample supports the hypothesis that fewer than **86%** of college students are procrastinators, utilizing a **0.05 level of significance**.#### Steps to Conduct the Hypothesis Test:**Step 3 of 3: Draw a conclusion and interpret the decision.**This step involves concluding if the sample evidence provides sufficient basis to reject the initial claim.#### Conclusion Drawing and Interpretation:1. **Estimate Population Proportion**: Calculate the sample proportion (p̂) of procrastinators: \[ \hat{p} = \frac{110}{139} \approx 0.791 \]2. **Formulate Hypotheses**: - Null Hypothesis (H₀): \( p \geq 0.86 \) - Alternative Hypothesis (H₁): \( p < 0.86 \)3. **Calculate Test Statistic**: Apply the z-test for proportion: \[ z = \frac{\hat{p} - p_0}{\sqrt{\frac{p_0 (1 - p_0)}{n}}} = \frac{0.791 - 0.86}{\sqrt{\frac{0.86 \cdot (1 - 0.86)}{139}}} \]4. **Determine Critical Value and p-value**: - Critical value for a one-tailed test at 0.05 significance: \( z_{0.05} \approx -1.645 \) - Compare calculated z-value with this critical value or calculate the p-value for z.5. **Make a Decision**: - If z calculated > critical z, fail to reject H₀. - If z calculated < critical z, reject H₀.6. **Interpret the Decision**: - Based on the above comparison, derive whether the evidence strongly counters or supports the professor's claim. A decision to reject H₀ would indicate evidence supporting that fewer

The question is about hypo. testingGiven :Popl. prop. of college stud. identify themselves as…

Answered: One study claimed that 86 % of college…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

See similar textbooks

Similar questions

A study was conducted to determine the proportion of people who dream in black and white instead of color. Among 315 people over the age of 55, 61 dream in black and white, and among 285 people under the age of 25, 12 dream in black and white. Use a 0.01 significance level to test the claim that the proportion of people over 55 who dream in black and white is greater than the proportion for those under 25. Complete parts (a) through (c) below. a. Test the claim using a hypothesis test. Consider the first sample to be the sample of people over the age of 55 and the second sample to be the sample of people under the age of 25. What are the null and alternative hypotheses for the hypothesis test? O A. Ho: P1 = P2 H1: P1 > P2 O B. Ho: P1 # P2 H1: P1 = P2 OC. Ho: P1 = P2 H;:Pq
The Bureau of Labor Statistics reports that the official unemployment rate for Black people was 10.4% and 4.7% for White people in February 2015. Select all correct answers for this question. O The samples of white and black people are independent. The explanatory variable is the unemployment rate. The response variable is the unemployment rate. The response variable is race.
The National Football League (NFL) is conducting a survey of fan behavior by collecting a random sample of 240 NFL fans. One question asks fans if they have ever participated in a violent act in or around their favorite team's stadium. Nationally, 28% of NFL fans have participated in a violent act around their team’s stadium. The research finds that 14% of Green Bay Packers fans have committed a violent act on game day. Conduct a significance test to answer the research question: Is there a significant difference (a=.05) in the proportion of Green Bay Packers fans compared to the rest of the NFL fans that have participated in a violent act? Which of the following test requirements does NOT belong in Step One for this test? Random sample Interval ratio variable of violent acts Normal Sampling distribution What is the critical score? What is the obtained score?
Recent research commissioned by Vodafone suggests that older workers are the happiest employees (BBC News, July 21, 2008). The report documents that 70% of older workers in England feel fulfilled, compared with just 50% of younger workers. A demographer believes that an identical pattern does not exist in Asia. A survey of 120 older workers in Asia finds that 78 feel fulfilled. At a 5% level of significance, test if older workers in Asia feel less fulfilled than their British counterparts. In the box below, answer the following (a) What is the p-value for the test? (Round to three decimal places.) (b) At a 5% level of significance, do older workers in Asia feel less fulfilled than their British counterparts?
Because the confidence interval limits v 0, it appears that the two proportions are V Because the confidence interval limits include V values, it appears that the proportion of people over 55 who dream in black and white is V the proportion for those under 25. c. An explanation for the results is that those over the age of 55 grew up exposed to media that was displayed in black and white. Can these results be used to verify that explanation? O A. No. The results speak to a possible difference between the proportions of people over 55 and under 25 who dream in black and white, but the results cannot be used to verify the cause of such a difference. O B. No. The results speak to a possible difference between the proportions of people over 55 and under 25 who dream in black and white, but the results are not statistically significant enough to verify the cause of such a difference. O C. Yes. The results can be used to verify the given explanation because difference in proportions is…
A study was conducted to determine the proportion of people who dream in black and white instead of color. Among 303 people over the age of 55, 79 dream in black and white, and among 300 people under the age of 25, 18 dream in black and white. Use a 0.01 significance level to test the claim that the proportion of people over 55 who dream in black and white is greater than the proportion for those under 25. Complete parts (a) through (c) below. a. Test the claim using a hypothesis test. Consider the first sample to be the sample of people over the age of 55 and the second sample to be the sample of people under the age of 25. What are the null and alternative hypotheses for the hypothesis test? O A. Ho: P₁ = P₂ H₁: P₁ P2 O D. Ho: P₁ #P₂ H₁: P₁ = P2 Identify the test statistic. z=0 Z= (Round to two decimal places as needed.) Identify the P-value. P-value= (Round to three decimal places as needed.) What is the conclusion based on the hypothesis test? the significance level of a = 0.01, so…
A survey asked 827 randomly sampled registered voters in California to select a response best fitting their opinion about drilling for oil and natural gas off the coastline of California. Response options include (1) Support, (2) Oppose, or (3) Do not know enough to answer. Data was disaggregated along whether respondents were college graduates or not. Here's the data: Support Drilling Oppose Drilling Doesn't Know Graduated College 154 180 104 Didn't Graduate College 132 126 131 Does this data show a statistically significant difference in the support of drilling between those who graduated college and those who didn't?
A study was conducted to determine the proportion of people who dream in black and white instead of color. Among 295 people over the age of 55, 64 dream in black and white, and among 312 people under the age of 25, 13 dream in black and white. Use a 0.05 significance level to test the claim that the proportion of people over 55 who dream in black and white is greater than the proportion for those under 25. Complete parts (a) through (c) below. a. Test the claim using a hypothesis test. Consider the first sample to be the sample of people over the age of 55 and the second sample to be the sample of people under the age of 25. What are the null and alternative hypotheses for the hypothesis test? O A. Ho: P₁ = P₂ H₁: P₁ P2 O B. Ho: P₁ P₂ H₁: P₁ = P2 O E. Ho: P₁ SP₂ H₁: P₁ P2 OC. Ho: P₁ P2 H₁: P₁ P2 OF. Ho: P₁ H₁: P₁ P₂ P2
A study was conducted to determine the proportion of people who dream in black and white instead of color. Among 323 people over the age of 55, 71 dream in black and white, and among 288 people under the age of 25, 14 dream in black and white. Use a 0.05 significance level to test the claim that the proportion of people over 55 who dream in black and white is greater than the proportion for those under 25. Complete parts (a) through (c) below. Question content area bottom Part 1 a. Test the claim using a hypothesis test. Consider the first sample to be the sample of people over the age of 55 and the second sample to be the sample of people under the age of 25. What are the null and alternative hypotheses for the hypothesis test? A. H0: p1=p2 H1: p1<p2 B. H0: p1≥p2 H1: p1≠p2 C. H0: p1≠p2 H1: p1=p2 D. H0: p1≤p2 H1: p1≠p2 E. H0: p1=p2 H1: p1>p2 Your answer is correct. F. H0: p1=p2 H1:…
Papapa
A radio talk show asks listeners to call in and say whom they are going to vote for in the next presidential election. Of the 587 callers, 71% say they favor one of the candidates, while 29% favor the other. Does this convince you that the first candidate is likely to win the election? Why or why not? What is statistical issue is involved here?
The General Social Survey is an annual survey given to about 1500 U.S. adults selected at random. A recent survey contained the question "How important to your life is having a fulfilling job?" Of the 267 college graduates surveyed, 106 chose the response "Very important." Of the 113 people surveyed whose highest level of education was high school or less, 59 chose the response "Very important." Based on these data, can we conclude, at the 0.05 level of significance, that there is a difference between the proportion p1 of all U.S. college graduates who would answer "Very important" and the proportion p2 of all U.S. adults whose highest level of education was high school or less who would answer "Very important"?Perform a two-tailed test. Then complete the parts below.Carry your intermediate computations to three or more decimal places and round your answers as specified in the parts below. (If necessary, consult a list of formulas.) A. Find the value of the test statistic and round to…

SEE MORE QUESTIONS

Recommended textbooks for you

MATLAB: An Introduction with Applications

Statistics

ISBN:

9781119256830

Author:

Amos Gilat

Publisher:

John Wiley & Sons Inc

Probability and Statistics for Engineering and th…

Statistics

ISBN:

9781305251809

Author:

Jay L. Devore

Publisher:

Cengage Learning

Statistics for The Behavioral Sciences (MindTap C…

Statistics

ISBN:

9781305504912

Author:

Frederick J Gravetter, Larry B. Wallnau

Publisher:

Cengage Learning

MATLAB: An Introduction with Applications

Statistics

ISBN:

9781119256830

Author:

Amos Gilat

Publisher:

John Wiley & Sons Inc

Probability and Statistics for Engineering and th…

Statistics

ISBN:

9781305251809

Author:

Jay L. Devore

Publisher:

Cengage Learning

Statistics for The Behavioral Sciences (MindTap C…

Statistics

ISBN:

9781305504912

Author:

Frederick J Gravetter, Larry B. Wallnau

Publisher:

Cengage Learning

Elementary Statistics: Picturing the World (7th E…

Statistics

ISBN:

9780134683416

Author:

Ron Larson, Betsy Farber

Publisher:

PEARSON

The Basic Practice of Statistics

Statistics

ISBN:

9781319042578

Author:

David S. Moore, William I. Notz, Michael A. Fligner

Publisher:

W. H. Freeman

Introduction to the Practice of Statistics

Statistics

ISBN:

9781319013387

Author:

David S. Moore, George P. McCabe, Bruce A. Craig

Publisher:

W. H. Freeman

SEE MORE TEXTBOOKS