**Educational Content on Hypothesis Testing****Problem Statement:**Consider a sample of 52 football games, where 31 of them were won by the home team. Use a 0.10 significance level to test the claim that the probability that the home team wins is greater than one-half.**Identify the Null and Alternative Hypotheses:**Choose the correct answer below.- A. \( H_0: p > 0.5 \) \( H_1: p = 0.5 \)- B. \( H_0: p = 0.5 \) \( H_1: p \neq 0.5 \)- C. \( H_0: p = 0.5 \) \( H_1: p > 0.5 \)- D. \( H_0: p = 0.5 \) \( H_1: p < 0.5 \)**Answer:**C. \( H_0: p = 0.5 \) \( H_1: p > 0.5 \)**Identify the Test Statistic for this Hypothesis Test:**The test statistic for this hypothesis test is ____. *(Round to two decimal places as needed.)***Identify the P-value for this Hypothesis Test:**The P-value for this hypothesis test is ____. *(Round to three decimal places as needed.)***Identify the Conclusion for this Hypothesis Test:**- A. Reject \( H_0 \). There is sufficient evidence to support the claim that the probability of the home team winning is greater than one-half.- B. Fail to reject \( H_0 \). There is sufficient evidence to support the claim that the probability of the home team winning is greater than one-half.- C. Reject \( H_0 \). There is not sufficient evidence to support the claim that the probability of the home team winning is greater than one-half.- D. Fail to reject \( H_0 \). There is not sufficient evidence to support the claim that the probability of the home team winning is greater than one-half.**Answer:**D. Fail to reject \( H_0 \). There is not sufficient evidence to support the claim that the probability of the home team winning is greater than one-half.

given data,sample size n=52x= 31p^=xn=3152=0.5962α=0.10claim that the probability that the home…

Answered: Consider a sample of 52 football games,…

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

See similar textbooks

Similar questions

A six-sided die is rolled 120 times. Fill in the expected frequency column. Then, conduct a hypothesis test to determine if the die is fair using 5% significant level. The data in the following table are the result of the 120 rolls. Face Value Frequency Expected Frequency 1 15 2 29 3 16 4 15 5 30 6 15 What are the null and alternate hypotheses?
Consider a sample of 49 football games, where 28 of them were won by the home team. Use a 0.10 significance level to test the claim that the probability that the home team wins is greater than one-half. entry the full al alemave hypoteses to test house the contact answer below. OA. Ho: p=0.5 H₁: p*0.5 OB. Ho: p=0.5 H₁: p0.5 H₁: p=0.5 D. Ho: p=0.5 H₁: p > 0.5 Identify the test statistic for this hypothesis test. The test statistic for this hypothesis test is 0.98. (Round to two decimal places as needed.) Identify the P-value for this hypothesis test. The P-value for this hypothesis test is (Round to three decimal places as needed.)
Suppose that at a particular college, a random sample found that 25 out of 100 students who use the internet use Twitter. Does this provide evidence that the true proportion of students at this college who use Twitter is higher than the nationally stated 15%? Use a significance level of 0.05 and the p-value to give your decision. The correct hypotheses to use are: Ho: p = 0.15 HA: p > 0.15 Blank #1: Report the test statistic to two decimal places Blank #2: Report the p-value to four decimal places. Blank #3: Give the test decision: (reject or do not reject) Ho Blank #4: Evidence _[favors or does not favor) that the true proportion of students at this college who use Twitter is higher than the nationally stated 15%.
Identify the conclusion for this hypothesis test. O A. Fail to reject Ho. There is sufficient evidence to warrant rejection of the claim that 51.1% of newborn babies are boys. B. Reject Ho. There is sufficient evidence to warrant rejection of the claim that 51.1% of newborn babies are boys. O C. Fail to reject Ho. There is not sufficient evidence to warrant rejection of the claim that 51.1% of newborn babies are boys. D. Reject Ho. There is not sufficient evidence to warrant rejection of the claim that 51.1% of newborn babies are boys. Do the results support the belief that 51.1% of newborn babies are boys? O A. The results support the belief that 51.1% of newborn babies are boys because there was no evidence to show that the belief is untrue. O B. The results do not support the belief that 51.1% of newborn babies are boys because there was sufficient evidence to show that the belief is untrue. OC. The results support the belief that 51.1% of newborn babies are boys because there was…
Determine the null and alternative hypotheses. Choose the correct choice below. A. H0: The expected frequencies are all equal to 5. Ha: At least one expected frequency differs from 5. B. H0: The distribution of the variable is the same as the given distribution. Ha: The distribution of the variable differs from the given distribution. C. H0: The distribution of the variable differs from the normal distribution. Ha: The distribution of the variable is the normal distribution. D. H0: The distribution of the variable differs from the given distribution. Ha: The distribution of the variable is the same as the given distribution. Compute the value of the test statistic, χ2. χ2= (Round to three decimal places as needed.) Find the P-value. P= (Round to three decimal places as needed.) Does the data provide sufficient evidence that the distribution of the variable differs from the given distribution? A. No,…
Suppose that in random selection of 100 colored candies, 20% of them are blue. The candy company claims that the percentage of blue candies is equal to 26%. Use a 0.01 significance level to test that claim. Identify the null and alternative hypotheses for this test. Choose the correct answer below. OA. Ho: P# 0.26 H₁: p= 0.26 B. Ho: p=0.26 H₁:p # 0.26 OC. Ho: p= 0.26 H₁: p > 0.26 O D. Ho: p= 0.26 H₁: p<0.26 Identify the test statistic for this hypothesis test. The test statistic for this hypothesis test is (Round to two decimal places as needed.) ←
Consider a sample of 54 football games, where 30 of them were won by the home team. Use a 0.10 significance level to test the claim that the probability that the home team wins is greater than one-half. Identify the null and alternative hypotheses for this test. Choose the correct answer below. OA. Ho: p=0.5 H₁: p0.5 OC. Ho: p>0.5 H₁: p=0.5 OD. Ho: p=0.5 H₁: p 0.5 Identify the test statistic for this hypothesis test. The test statistic for this hypothesis test is 0.82. (Round to two decimal places as needed.) Identify the P-value for this hypothesis test. The P-value for this hypothesis test is ☐ (Round to three decimal places as needed.)
Consider a sample of 49 football games, where 28 of them were won by the home team. Use a 0.01 significance level to test the claim that the probability that the home team wins is greater than one-half. Identify the null and alternative hypotheses for this test. Choose the correct answer below. A. Upper H 0: pequals0.5 Upper H 1: pless than0.5 B. Upper H 0: pequals0.5 Upper H 1: pnot equals0.5 C. Upper H 0: pgreater than0.5 Upper H 1: pequals0.5 D. Upper H 0: pequals0.5 Upper H 1: pgreater than0.5 Identify the test statistic for this hypothesis test. The test statistic for this hypothesis test is nothing. (Round to two decimal places as needed.) Identify the P-value for this hypothesis test. The P-value for this hypothesis test is nothing. (Round to three decimal places as needed.) Identify the conclusion for this hypothesis test. A. Fail to reject Upper H 0. There is sufficient evidence to support the claim that the probability of the home team winning is greater…
The company that you work for requires that less than 3% (.03) of the microchips that you deliver are defective. If the percentage is not below 3%, you cannot ship the microchips. You collect a simple random sample of 430 microchips and find that 12 of them are defective. Conduct a hypothesis test with a a =.05 level of significance to determine if less than 3% of the microchips are defective. Write all non-calculation answers in complete sentences. a. Which test would you use and why? b. Write the null and alternative hypothesis in complete sentences. (Make sure you mark which is the null and which is the alternative.) c. Write the null and alternative hypothesis as symbols. d. State the requirements that have been met to run the test. e. What is the test statistic and the p-value? (Make sure you use the right notation.) f. Should you reject or fail to reject the null hypothesis? g. State the conclusion for the test.
Assume that a simple random sample has been selected and test the given claim. Listed below are the lead concentrations in μg/g measured in different traditional medicines. Use a 0.05 significance level to test the claim that the mean lead concentration for all such medicines is less than 14 μg/g. 3.5 7.0 6.0 5.5 20.0 8.0 12.0 21.5 11.0 17.0 Identify the null and alternative hypotheses for this test. A. H0: μ=14 μg/g H1: μ<14 μg/g B. H0: μ<14 μg/g H1: μ=14 μg/g C. H0: μ=14 μg/g H1: μ>14 μg/g D. H0: μ=14 μg/g H1: μ≠14 μg/g Click to select your answer and then click Check Answer.
The p-value for a hypothesis test turns out to be 0.0985. At a 8% level of significance, what is the proper decision? Reject H0H0 Fail to reject H0
Consider a sample of 49 football games, where 28 of them were won by the home team. Use a 0.10 significance level to test the claim that the probability that the home team wins is greater than one-half. Identify the null and alternative hypotheses for this test. Choose the correct answer below. OA. Ho: p=0.5 H₁: p *0.5 B. Ho: p=0.5 H₁: p 0.5 H₁: p=0.5 D. Ho: p=0.5 H₁: p>0.5 Identify the test statistic for this hypothesis test. The test statistic for this hypothesis test is (Round to two decimal places as needed.)

SEE MORE QUESTIONS

Recommended textbooks for you

A First Course in Probability (10th Edition)

Probability

ISBN:

9780134753119

Author:

Sheldon Ross

Publisher:

PEARSON

A First Course in Probability

Probability

ISBN:

9780321794772

Author:

Sheldon Ross

Publisher:

PEARSON

A First Course in Probability (10th Edition)

Probability

ISBN:

9780134753119

Author:

Sheldon Ross

Publisher:

PEARSON

A First Course in Probability

Probability

ISBN:

9780321794772

Author:

Sheldon Ross

Publisher:

PEARSON

SEE MORE TEXTBOOKS