**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...

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Consider a drug testing company that provides a test for marijuana usage. Among 335 tested subjects, results from 30 subjects were wrong (either a false positive or a false negative). Use a 0.05 significance level to test the claim that less than 10 percent of the test results are wrong. Identify the null and altenative hypotheses for this test. Choose the correct answer below. O A. Ho: p=0.1 H1: p#0.1 O B. Ho: p= 0.1 H: p0.1 O D. Ho: p<0.1 H1: p= 0.1 Identify the test statistic for this hypothesis test. The test statistic for this hypothesis test is (Round to two decimal places as needed. dentify 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 O.A. Fail to reject Ho. There is sufficient evidence to warrant support of the claim that less than 10 percent of the test results are wrong O B. Reject Ho. There is not sufficient evidence to warrant support of the claim…
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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.
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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

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