### Statistical Hypothesis Testing#### Problem Statement**6. Suppose you are testing:**\[ H_0: p = 0.8 \quad \text{versus} \quad H_1: p < 0.8, \]where $ n = 25 $. From your data, you calculate your test statistic value as $ +1.2 $.**Tasks:**(a) Should you use $ z $ or $ t $ when finding a p-value for this scenario?(b) Calculate the p-value for this scenario.(c) Using a significance level of 0.062, what decision should you make (Reject $ H_0 $ or Do Not Reject $ H_0 $)?---#### Detailed Explanation- **Test Statistic**: We have a test statistic value of $ +1.2 $.- **Sample Size $ n $**: 25. - **Null Hypothesis $ H_0 $**: Population proportion $ p = 0.8 $.- **Alternative Hypothesis $ H_1 $**: Population proportion $ p < 0.8 $.- **Significance Level**: 0.062.---#### Solution Approach1. **Choosing Between $ z $ and $ t $:** - Since we are dealing with proportions and assuming a normal approximation is valid due to reasonable sample size, use the $ z $-test.2. **P-value Calculation:** - Use the standard normal distribution to find the p-value corresponding to a test statistic of $ +1.2 $. Since this is a one-tailed test (because $ H_1: p < 0.8 $), the p-value is the probability that $ Z > 1.2 $.3. **Decision Making:** - Compare the p-value with the significance level (0.062). - If the p-value is less than the significance level, reject $ H_0 $. - Otherwise, do not reject $ H_0 $.Use statistical calculators or tables to determine exact values as needed.

Answered: 6. Suppose you are testing Ho: p= 0.8…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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