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2. Suppose you are testing the dlaim that a coin comes us tails more than 50% of the time when the coin is sp on a hard surface. Steps 1 and 2 of the hypothesis test are given. Suppose that you did this experiment am got 22 tails in 30 spins. Find the value of the test statistic z and the corresponding p-value. p is the proportion of tails. Ho:p=0.50 H:p>0.50 STEP 1: STEP 2: Assume that the outcomes are random and the sample size is large enough because both np and n(1-p) are both 15. z- statistic (SHOW WORK!!)

2. Suppose you are testing the dlaim that a coin comes us tails more than 50% of the time when the coin is sp on a hard surface. Steps 1 and 2 of the hypothesis test are given. Suppose that you did this experiment am got 22 tails in 30 spins. Find the value of the test statistic z and the corresponding p-value. p is the proportion of tails. Ho:p=0.50 H:p>0.50 STEP 1: STEP 2: Assume that the outcomes are random and the sample size is large enough because both np and n(1-p) are both 15. z- statistic (SHOW WORK!!)

MATLAB: An Introduction with Applications
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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**Hypothesis Testing for Proportions** 1. Handwritten annotations: - 32.77 ≥ 15 - 80.23 ≥ 15 2. **Example Problem: Testing a Coin's Bias** Suppose you are testing the claim that a coin lands tails more than 50% of the time when spun on a hard surface. Steps 1 and 2 of the hypothesis test are given. Assume you performed this experiment and obtained 22 tails in 30 spins. Find the value of the test statistic \( z \) and the corresponding p-value. **Given:** - \( p \) is the proportion of tails. **Step 1: Set Up Hypotheses** - Null Hypothesis (\( H_0 \)): \( p = 0.50 \) - Alternative Hypothesis (\( H_a \)): \( p > 0.50 \) **Step 2: Conditions for Normal Approximation** - Assume that the outcomes are random and that the sample size is large enough because both \( np \) and \( n(1-p) \) are 15. **Calculation:** - **z-statistic (SHOW WORK!):** ___________ - **p-value:** ___________ (Use graphing calculator) 3. **Skill and Drill:** For problems #3 to #8, perform hypothesis testing: - Find the p-value and decide whether to reject or not reject the null hypothesis. - Note: Not all significance levels are 0.05. --- This content is displayed on a MacBook Air screen using Microsoft Word in compatibility mode, with tools for drawing and trackpad use enabled. Along the bottom, various macOS applications icons are visible, like Safari, iTunes, and Finder, indicating typical multitasking functionality.
Transcribed Image Text:**Hypothesis Testing for Proportions** 1. Handwritten annotations: - 32.77 ≥ 15 - 80.23 ≥ 15 2. **Example Problem: Testing a Coin's Bias** Suppose you are testing the claim that a coin lands tails more than 50% of the time when spun on a hard surface. Steps 1 and 2 of the hypothesis test are given. Assume you performed this experiment and obtained 22 tails in 30 spins. Find the value of the test statistic \( z \) and the corresponding p-value. **Given:** - \( p \) is the proportion of tails. **Step 1: Set Up Hypotheses** - Null Hypothesis (\( H_0 \)): \( p = 0.50 \) - Alternative Hypothesis (\( H_a \)): \( p > 0.50 \) **Step 2: Conditions for Normal Approximation** - Assume that the outcomes are random and that the sample size is large enough because both \( np \) and \( n(1-p) \) are 15. **Calculation:** - **z-statistic (SHOW WORK!):** ___________ - **p-value:** ___________ (Use graphing calculator) 3. **Skill and Drill:** For problems #3 to #8, perform hypothesis testing: - Find the p-value and decide whether to reject or not reject the null hypothesis. - Note: Not all significance levels are 0.05. --- This content is displayed on a MacBook Air screen using Microsoft Word in compatibility mode, with tools for drawing and trackpad use enabled. Along the bottom, various macOS applications icons are visible, like Safari, iTunes, and Finder, indicating typical multitasking functionality.
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