### Hypothesis Testing: Finding and Interpreting the p-valueIn a test of the hypothesis \( H_0: \mu = 46 \) versus \( H_a: \mu > 46 \), a sample of \( n = 100 \) observations possessed a mean \( \bar{x} = 45.3 \) and standard deviation \( s = 5.2 \). Find and interpret the p-value for this test.#### **Calculating the p-value**The p-value for this test is \_\_\_\_ . (**Round to three decimal places as needed.**)#### **Interpreting the Result**Select the correct choice below and fill in the answer box to complete your choice. (**Round to three decimal places as needed.**)A. The probability (assuming that \( H_a \) is true) of observing a value of the test statistic that is at most as contradictory to the null hypothesis is \_\_\_\_ .B. The probability (assuming that \( H_0 \) is true) of observing a value of the test statistic that is equal to the null hypothesis is \_\_\_\_ .C. The probability (assuming that \( H_0 \) is true) of observing a value of the test statistic that is at least as contradictory to the null hypothesis is \_\_\_\_ .**Instructions:**1. Fill in the p-value in the space provided.2. Select the correct interpretation of the p-value from options A, B, or C and fill in the corresponding answer box.#### **Note:** - Ensure values are rounded to three decimal places.- This practice exercise focuses on understanding the significance of the p-value in hypothesis testing, helping clarify its interpretation in statistical inference.

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Description: ### Hypothesis Testing: Finding and Interpreting the p-valueIn a test of the hypothesis \( H_0: \mu = 46 \) versus \( H_a: \mu > 46 \), a sample of \( n = 100 \) observations possessed a mean \( \bar{x} = 45.3 \) and standard deviation \( s = 5.2 \)

Concept of p-value: The p-value in hypothesis testing is the probability of obtaining a test…

Math

Statistics

In a test of the hypothesis Ho:µ= 46 versus H3: µ> 46, a sample of n = 100 observations possessed mean x = 45.3 and standard deviation s = 5.2. Find and interpret the p-value for this test. The p-value for this test is. (Round to three decimal places as needed.) Interpret the result. Select the correct choice below and fill in the answer box to complete your choice. (Round to three decimal places as needed.) O A. The probability (assuming that H, is true) of observing a value of the test statistic that is at most as contradictory to the null hypothesis is O B. The probability (assuming that Ho is true) of observing a value of the test statistic that is equal to the null hypothesis is O C. The probability (assuming that Ho is true) of observing a value of the test statistic that is at least as contradictory to the null hypothesis is

In a test of the hypothesis Ho:µ= 46 versus H3: µ> 46, a sample of n = 100 observations possessed mean x = 45.3 and standard deviation s = 5.2. Find and interpret the p-value for this test. The p-value for this test is. (Round to three decimal places as needed.) Interpret the result. Select the correct choice below and fill in the answer box to complete your choice. (Round to three decimal places as needed.) O A. The probability (assuming that H, is true) of observing a value of the test statistic that is at most as contradictory to the null hypothesis is O B. The probability (assuming that Ho is true) of observing a value of the test statistic that is equal to the null hypothesis is O C. The probability (assuming that Ho is true) of observing a value of the test statistic that is at least as contradictory to the null hypothesis is

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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