Historically, the percentage of residents of a certain country who support stricter gun control laws has been 53%. A recent poll of 987 people showed 500 in favor of stricter gun control laws. Assume the poll was given to a random sample of people. Test the claim that the proportion of those favoring stricter gun control has changed. Perform a hypothesis test, using a significance level of 0.05.1. **State the null and alternative hypotheses:** - \( H_0 \): The population proportion that supports stricter gun control is 0.53. - \( H_a \): \( p \) (symbol for the population proportion being considered) is not equal to 0.53.2. **The significance level is \(\alpha = 0.05\). Choose the one-proportion z-test.**3. **Compute the sample proportion \(\hat{p}\):** - \(\hat{p} = \frac{500}{987}\)4. **Calculate the values needed to compute the standard error.**(Note: Detailed calculations would involve computing the exact sample proportion and further statistical values, such as standard error, z-score, and p-value, to conclude the hypothesis test.) ### Hypothesis Testing: Z-Test ExampleHistorically, the percentage of residents of a certain county who support stricter gun control laws has been 53%. A recent poll of 9897 people found that 5293 support stricter gun control. Test the claim that the proportion of those favoring stricter gun control has changed. Perform a hypothesis test using the following steps.#### Identify the values needed to compute the z-test statistic.**Z Formula:**\[ Z = \frac{\hat{p} - p}{SE} \]Where:- \(\hat{p}\) = Sample proportion- \(p\) = Population proportion- \(SE\) = Standard Error#### Steps to Compute:1. **Compute the z-test statistic.** - \(Z = \) - *(Round to two decimal places as needed.)*2. **Compute the p-value.** - \( \text{P-value} = \) - *(Round to three decimal places as needed.)*3. **Decision:** - Reject \(H_0\) or do not reject \(H_0\) and interpret the conclusion. Choose the correct answer below.**Note:**Type the terms of your expression in the same order as they appear in the original expression. Round to four decimal places as needed._Click to select your answer(s) and then click Check Answer._

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Description: Historically, the percentage of residents of a certain country who support stricter gun control laws has been 53%. A recent poll of 987 people showed 500 in favor of stricter gun control laws. Assume the poll was given to a random sample of people.

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Historically, the percentage of residents of a certain country who support stricter gun control laws has been 53%. A recent poll of 987 people showed 500 in favor of stricter gun control laws. Assume the poll was given to a random sample of people. Test the claim that the proportion of those favoring stricter gun control has changed. Perform a hypothesis test, using a significance level of 0.05. State the null and alternative hypotheses. Họ: The population proportion that supports stricter gun control is 0.53, p= 500 H p #0.53 (Type integers or decimals. Do not round.) The significance level is a = 0.05. Choose the one-proportion z-test. Compute the sample proportion p. (Round to four decimal places as needed.) Calculate the values needed to compute the standard error.

Historically, the percentage of residents of a certain country who support stricter gun control laws has been 53%. A recent poll of 987 people showed 500 in favor of stricter gun control laws. Assume the poll was given to a random sample of people. Test the claim that the proportion of those favoring stricter gun control has changed. Perform a hypothesis test, using a significance level of 0.05. State the null and alternative hypotheses. Họ: The population proportion that supports stricter gun control is 0.53, p= 500 H p #0.53 (Type integers or decimals. Do not round.) The significance level is a = 0.05. Choose the one-proportion z-test. Compute the sample proportion p. (Round to four decimal places as needed.) Calculate the values needed to compute the standard error.

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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