**Text from Educational Website**The test statistic of $ z = -2.13 $ is obtained when testing the claim that $ p < 0.15 $.a. Using a significance level of $ \alpha = 0.01 $, find the critical value(s).b. Should we reject $ H_0 $ or should we fail to reject $ H_0 $?[Click here to view page 1 of the standard normal distribution table.](#) [Click here to view page 2 of the standard normal distribution table.](#)a. The critical value(s) is/are $ z = $ [_______] (Round to two decimal places as needed. Use a comma to separate answers as needed.)---**Graph/Diagram Explanation:***Standard Normal Distribution Table (Page 1)*- Title: **NEGATIVE z Scores**- There is a small graph illustrating a standard normal distribution curve with negative z-scores highlighted on the left side.- The table displays cumulative areas (probabilities) from the left for various negative z-scores.- Each row represents a different z-score, starting from -2.7 and decreasing.- The columns represent the second decimal point of the z-score from .00 to .09.For example, the cell corresponding to $ z = -2.1 $ and .03 gives the cumulative probability for $ z = -2.13 $. # Standard Normal Distribution Table (Page 2)This page provides a standard normal distribution table specifically for positive z-scores. The table shows the cumulative area from the left under the standard normal curve for various z-scores, which helps in finding probabilities in statistics.## DiagramAt the top of the page, there's a diagram of a standard normal distribution curve. This symmetrical bell-shaped curve is centered at 0, with labels indicating the z-score position to the right of zero. This signifies the distribution of data under the standard normal curve.## Table ExplanationThe table is titled "Standard Normal (z) Distribution: Cumulative Area from the LEFT." It lists z-scores in increments of 0.01, ranging from 0.0 to 0.08 across the columns.Each row corresponds to a specific z-score value, ranging from 0.0 to 0.8, increasing by increments of 0.1.### Cumulative Areas:- **z = 0.0** to **z = 0.09**: - The table columns from ".00" to ".09" show the cumulative probabilities for z-scores starting from 0.000 to 0.099. For example, a z-score of 0.05 has a cumulative area of 0.5199, indicating that approximately 51.99% of the data falls to the left of this score.### Examples:- **z = 0.1**: - .00 | 0.5398 - .01 | 0.5438 - .02 | 0.5478 - ... - .09 | 0.5753- **z = 0.3**: - .00 | 0.6179 - .01 | 0.6217 - .02 | 0.6255 - ... - .09 | 0.6517This table is a crucial tool in statistics for finding probabilities and is commonly used in hypothesis testing and confidence interval estimation.

GivenTest statistic(z)=-2.13claim is p<0.15α=0.01a)The critical values(z) isα2=0.005critical values(z) are 2.58 and -2.58b)Critical value(z)=-2.58 is less than Test statistic(z)=-2.13Hence We should Reject H0

Answered: The test statistic of z-2.13 is…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

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