### Hypothesis Testing ExamplesBelow are examples of null and alternative hypotheses used in statistical hypothesis testing:1. **First Example:** - Null Hypothesis (\(H_0\)): \( p = 0.13 \) - Alternative Hypothesis (\(H_A\)): \( p > 0.13 \)2. **Second Example:** - Null Hypothesis (\(H_0\)): \( p = 0.20 \) - Alternative Hypothesis (\(H_A\)): \( p = 0.13 \)3. **Third Example:** - Null Hypothesis (\(H_0\)): \( p = 0.20 \) - Alternative Hypothesis (\(H_A\)): \( p \neq 0.20 \)4. **Fourth Example:** - Null Hypothesis (\(H_0\)): \( p = 0.20 \) - Alternative Hypothesis (\(H_A\)): \( p < 0.20 \)These examples illustrate different types of hypothesis tests:- **One-tailed test** (e.g., \( p > 0.13 \), \( p < 0.20 \))- **Two-tailed test** (e.g., \( p \neq 0.20 \)) A statistics instructor believes fewer than 20% of Clayton State University students attended the opening night midnight showing of the latest Marvel movie. She surveys 84 of her students and finds that 11 attended the midnight showing. Identify the correct null and alternative hypotheses:

The random variable is attending the midnight showing.We have to write the null and alternative…

Answered: A statistics instructor believes fewer…

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

If, in a given sample space, P (A) = 0.6, P (B) = 0.40, and P (A and B) = 0.20, then the value of P (A or B) will be
When two births are randomly selected, the sample space for genders is bb, bg, gb, and gg. Assume that those four outcomes are equally likely. Construct a table that describes the sampling distribution of the sample proportion of girls sample proportions equal the proportion of girls in two births? Does the result suggest that a sample proportion is an unbiased estimator of a population proportion? For the entire population, assume the probability of having a boy is is not affected by how many boys or girls have previously been born. Determine the probabilities of each sample proportion. Sample proportion of girls ▼ Does the mean of the sample proportions equal the proportion of girls in two births? O A. Yes, both the mean of the sample proportions and the population proportion are 4 1 O B. Yes, both the mean of the sample proportions and the population proportion are 3 O C. Yes, both the mean of the sample proportions and the population proportion are 1 2 O D. No, the mean of the…
The following is a random sample of men and women residents of Iowa. Do these data suggest a difference between the sexes in average spending on Christmas gifts in 2020? Follow the four steps for a hypothesis test. Male Male Female Female 250 450 300 375 400 300 350 400 425 350 500 450 350 325 425 300 500 425 400 350 400 200 350 370 375 450 400
A classic story involves four carpooling students who missed a test and gave as an excuse a flat tire. On the makeup test, the instructor asked the students to identify the particular tire that went flat. If they really didn't have a flat tire, would they be able to identify the same tire? A statistician asked 47 other randomly selected students to identify the tire they would select. The results are listed in the accompanying table. Use a 0.05 significance level to test the statistician's claim that the results fit a uniform distribution. What does the result suggest about the likelihood of four students identifying the same tire when they really didn't have a flat? Tire Number Selected Left Front 12 Right Front 8 ... Determine the null and alternative hypotheses. Ho: The tires are selected with the same frequency. H₁: At least one tire has a different frequency than the other tires. Calculate the test statistic, X². x² = (Round to three decimal places as needed.) Left Rear 14 Right…
2. A psychology class consists of 14 males and 36 females. If the professor selects names from the class list using random sampling, a. What is the probability that the first student selected will be a female? 8. I b. If a random sample of n = 3 stu dents is selected and the first two are both females, what is the prob- ability that the third student selected will be a male? CRE NA
A researcher is interested in whether self-proclaimed “cat people” are more introverted than self-proclaimed “dog people.” Select one: a. factorial ANOVA b. one sample t test c. paired samples t-test d. one-way ANOVA e. t-test independent means
1. An educational researcher says that the proportion of college students who study for their statistics final exam is 68%. Write the claim, null and alternative hypotheses for this statement. Draw a distribution to represent it, and then identify the type of test (tail) that should be used.
Suppose that a difference between two groups mean is examined. In the language of statistics, the null hypothesis (Ho) is a statement that is there is: O A. None of these O B. no difference between the sample means. O C.a difference between the population means. O D. no difference between the population means. O E. a difference between the sample means.
To gauge how her fellow lawmakers view the proposed “Child Car Seat" Law, 12 randomly selected members of the house were interviewed. Ten of them were supporting the proposed law. Is there evidence to say that the majority of the members of the house will approve the said proposal? Which of the following statements is(are) TRUE? * I. The appropriate alternative hypothesis is the proportion of the O members of the house that will approve the proposal is less than 50%. II. Approximate Z-test can be performed as a test procedure. O Both I and II O Neither I nor II
When two births are randomly selected, the sample space for genders is bb, bg. gb, and gg. Assume that those four outcomes are equally likely. Construct a table that describes the sampling distribution of the sample proportion of girls from two births. Does the mean of the sample proportions equal the proportion of girls in two births? Does the result suggest that a sample proportion an unbiased estimator of a population proportion? For the entire population, assume the probability of having a boy is the probability of having a girl is , and this is not affected by how many boys or girls have previously been born. 2 Determine the probabilities of each sample proportion. Probability Sample proportion of girls Tune intanare or cimnlifiad frartinne
1) A 2010 survey asked 827 randomly sampled registered voters in California "Do you support? Or do you oppose? Drilling for oil and natural gas off the coast of California? Or do you not know enough to say?" Below is the distribution of responses, separated based on whether or not the respondent graduated from college. College Grad Yes No Support Oppose Do not know 154 132 180 126 104 131 Total 438 389 Conduct a hypothesis test to determine if the data provide strong evidence that the proportion of college graduates who do not have an opinion of this issue is different than that of non-college graduates. a) Write the hypotheses for this test. Ho : Pgrad – Pnongrad = НА: Рgrad - Рпоngrad b) What is the p-value? (Round to four decimal places, if necessary. If '
3. In 2010, the United Nations claimed that there was a higher rate of illiteracy in men than in women from the country of Qatar. A humanitarian organization tested reading ability in a random sample of Qataris. The results revealed that 45 out of 234 men and 42 out of 251 women were illiterate. Do these results indicate that the United Nations findings were correct? a. State your null and altenative hypotheses. b. If you pool the men and women together, what percent of the overall sample is illiterate? c. Calculate the standard error and draw and label the sampling distribution. d. Calculate a test statistic and P-value. e. Explain what your P-value means in this context. f. If a (alpha) = .1, what do you conclude?

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