### Statistical Test for True Negative Probability**Problem Statement:**You are conducting a study to see if the probability of a true negative on a test for a certain cancer is significantly less than 0.16. Thus, you are performing a left-tailed test. Your sample data produce the test statistic $ z = -2.963 $. Find the p-value accurate to 4 decimal places.**Calculation:**To find the p-value:1. Use the z-score of -2.963.2. Look up the z-score in a standard normal distribution table or use statistical software/calculator to find the corresponding p-value.**Answer:**$ \text{p-value} = $ [Calculated p-value]### Notes:- **Left-Tailed Test:** This test checks if the actual parameter is significantly less than the hypothesized parameter.- **Z-Score:** The z-score represents how many standard deviations an element is from the mean. In this problem, $ z = -2.963 $ indicates that the sample mean is 2.963 standard deviations below the hypothesized mean.For students: Understanding how to interpret and calculate p-values in hypothesis testing is crucial in making statistically informed decisions. The p-value helps determine the significance of your results in the context of your study.

Solution Given data is Test statistic = z = -2.963

Answered: You are conducting a study to see if…

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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You are conducting a study to see if the probability of a true negative on a test for a certain cancer is significantly less than 0.16. Thus you are performing a left-tailed test. Your sample data produce the test statistic z = -2.963. Find the p-value accurate to 4 decimal places. p-value