identify the test statistics, p value and conclusion ---### Hypothesis Testing ExampleConsider a sample of 45 football games, where 27 of them were won by the home team. Use a 0.05 significance level to test the claim that the probability that the home team wins is greater than one-half.---#### Null and Alternative Hypotheses:- $ H_0: p = 0.5 $- $ H_1: p < 0.5 $---### Identifying the Test StatisticIdentify the test statistic for this hypothesis test.- The test statistic for this hypothesis test is $ \_\_\_\_\_\_ $.*(Round to two decimal places as needed.)*---This example aims to illustrate the process of hypothesis testing for a sample proportion. In this instance, we are testing whether the probability of the home team winning is significantly different from 0.5. ---### ExplanationHere, $ H_0 $ denotes the null hypothesis which claims that the proportion $ p $ of home team wins is 0.5. The alternative hypothesis $ H_1 $ posits that the proportion $ p $ is less than 0.5. The test statistic will determine whether we reject the null hypothesis based on the sample data provided.For further instructions on calculating and interpreting the test statistic, please follow your course materials or refer to the relevant statistical techniques.---

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Consider a sample of 45 football games, where 27 of them were won by the home team. Use a 0.05 significance level to test the claim that the probability that the home team wins is greater than one-half. w. 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.)

Consider a sample of 45 football games, where 27 of them were won by the home team. Use a 0.05 significance level to test the claim that the probability that the home team wins is greater than one-half. w. 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.)

MATLAB: An Introduction with Applications

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ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Question

identify the test statistics, p value and conclusion

---

### Hypothesis Testing Example

Consider a sample of 45 football games, where 27 of them were won by the home team. Use a 0.05 significance level to test the claim that the probability that the home team wins is greater than one-half.

---
#### Null and Alternative Hypotheses:

- $ H_0: p = 0.5 $
- $ H_1: p < 0.5 $

---

### Identifying the Test Statistic

Identify the test statistic for this hypothesis test.

- The test statistic for this hypothesis test is $ \_\_\_\_\_\_ $.

*(Round to two decimal places as needed.)*

---

This example aims to illustrate the process of hypothesis testing for a sample proportion. In this instance, we are testing whether the probability of the home team winning is significantly different from 0.5.

---

### Explanation

Here, $ H_0 $ denotes the null hypothesis which claims that the proportion $ p $ of home team wins is 0.5. The alternative hypothesis $ H_1 $ posits that the proportion $ p $ is less than 0.5. The test statistic will determine whether we reject the null hypothesis based on the sample data provided.

For further instructions on calculating and interpreting the test statistic, please follow your course materials or refer to the relevant statistical techniques.

---

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