### Sampling Distributions and Type I Error#### b. Which sketch below shows the sampling distribution for the rejection region $ z < -1.645 $?- **Option A:** - Description: This graph displays a standard normal distribution with two tails, both extending beyond $ |z| = 1.645 $ on either side (left: $ z = -1.645 $ and right: $ z = 1.645 $). Both tails have shaded regions, each labeled $\frac{\alpha}{2}$, with rejection regions indicating $ H_0 $ rejection.- **Option B (Correct):** - Description: This sketch illustrates a standard normal distribution with a single tail extending beyond $ z = -1.645 $. The left tail is shaded and labeled $\alpha$, representing the rejection region where $ H_0 $ is rejected. Only one side of the distribution (left) is considered for the rejection.#### What is the probability that a Type I error will be made for $ z < -1.645 $?- **Question:** - Calculate the significance level ($\alpha$) that corresponds to $ z < -1.645 $.- **Answer Input Box:** - A blank input box is provided for entering the value of $\alpha$, to be rounded to three decimal places as needed.### Detailed Explanation#### Standard Normal Distribution Graphs- **Graph A:** Represents a two-tailed test scenario. - **Sections:** - **Left Tail** ($ z < -1.645 $): Shaded region marking $\frac{\alpha}{2}$. - **Right Tail** ($ z > 1.645 $): Shaded region marking $\frac{\alpha}{2}$. - This structure implies that the null hypothesis ($ H_0 $) can be rejected if the test statistic falls in either tail region.- **Graph B:** Represents the correct one-tailed test scenario for $ z < -1.645 $. - **Section:** - **Left Tail** ($ z < -1.645 $): Shaded region marking $\alpha$. The null hypothesis ($ H_0 $) is rejected if the test statistic is less than $-1.645$.### Conclusion- **Selection**: Sketch B correctly illustrates the sampling distribution for the rejection region

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Description: ### Sampling Distributions and Type I Error#### b. Which sketch below shows the sampling distribution for the rejection region $ z < -1.645 $?- **Option A:** - Description: This graph displays a standard normal distribution with two tails, both e

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Answered: 1.645? B. 2. -1.645 0. 1.645 -1.645…

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1.645? B. 2. -1.645 0. 1.645 -1.645 Reject Ho Reject Ho Reject Ho What is the probability that a Type I error will be made for z< - 1.645? (Round to three decimal places as needed.)

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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