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For the following information, determine whether a normal sampling distribution can be used, where p is the population proportion, a is the level of significance, p is the sample proportion, and n is the sample size. If it can be used, test the claim. Claim: p20.68; a= 0.04. Sample statistics: p=0.60, n= 180 If a normal sampling distribution can be used, identify standardized test statistic z. Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. z= -2.30 (Round to two decimal places as needed.) O B. Anormal sampling distribution cannot be used. If a normal sampling distribution can be used, decide whether to reject or fail to reject the null hypothesis and interpret the decision. Choose the correct answer below. O A. Reject the null hypothesis. There is not enough evidence to reject the claim. O B. Fail to reject the null hypothesis. There is not enough evidence to reject the claim. O C. Fail to reject the null hypothesis. There is enough evidence to reject the claim. O D. Reject the null hypothesis. There is enough evidence to reject the claim. O E. Anormal sampling distribution cannot be used.

For the following information, determine whether a normal sampling distribution can be used, where p is the population proportion, a is the level of significance, p is the sample proportion, and n is the sample size. If it can be used, test the claim. Claim: p20.68; a= 0.04. Sample statistics: p=0.60, n= 180 If a normal sampling distribution can be used, identify standardized test statistic z. Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. z= -2.30 (Round to two decimal places as needed.) O B. Anormal sampling distribution cannot be used. If a normal sampling distribution can be used, decide whether to reject or fail to reject the null hypothesis and interpret the decision. Choose the correct answer below. O A. Reject the null hypothesis. There is not enough evidence to reject the claim. O B. Fail to reject the null hypothesis. There is not enough evidence to reject the claim. O C. Fail to reject the null hypothesis. There is enough evidence to reject the claim. O D. Reject the null hypothesis. There is enough evidence to reject the claim. O E. Anormal sampling distribution cannot be used.

A First Course in Probability (10th Edition)
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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**Educational Content: Hypothesis Testing and Standardized Test Statistic** --- **Problem Statement** Determine whether a normal sampling distribution can be used for the given data: - **Population proportion (\( p \))**: 0.68 - **Level of significance (\( \alpha \))**: 0.04 - **Sample statistics (\( \hat{p} \))**: 0.60 - **Sample size (\( n \))**: 180 **Steps to Determine the Use of Normal Sampling Distribution** 1. **Standardized Test Statistic** Calculate the standardized test statistic \( z \) if a normal sampling distribution can be used: - Option A: \( z = -2.30 \) (Round to two decimal places as needed) - Option B: A normal sampling distribution cannot be used. 2. **Decision Making** If a normal sampling distribution can be used, choose whether to reject or fail to reject the null hypothesis, and interpret the decision: - **Option A**: Reject the null hypothesis. There is not enough evidence to reject the claim. - **Option B**: Fail to reject the null hypothesis. There is not enough evidence to reject the claim. - **Option C**: Fail to reject the null hypothesis. There is enough evidence to reject the claim. - **Option D**: Reject the null hypothesis. There is enough evidence to reject the claim. - **Option E**: A normal sampling distribution cannot be used. **Additional Help** - **Interactive Assistance**: Options such as "Help me solve this," "View an example," and "Get more help" are available for further guidance. --- **Instruction for Learners** Analyze the given options for the standardized test statistic and decision-making process to understand the hypothesis testing framework. Use the available interactive resources for step-by-step solutions and further learning.
Transcribed Image Text:**Educational Content: Hypothesis Testing and Standardized Test Statistic** --- **Problem Statement** Determine whether a normal sampling distribution can be used for the given data: - **Population proportion (\( p \))**: 0.68 - **Level of significance (\( \alpha \))**: 0.04 - **Sample statistics (\( \hat{p} \))**: 0.60 - **Sample size (\( n \))**: 180 **Steps to Determine the Use of Normal Sampling Distribution** 1. **Standardized Test Statistic** Calculate the standardized test statistic \( z \) if a normal sampling distribution can be used: - Option A: \( z = -2.30 \) (Round to two decimal places as needed) - Option B: A normal sampling distribution cannot be used. 2. **Decision Making** If a normal sampling distribution can be used, choose whether to reject or fail to reject the null hypothesis, and interpret the decision: - **Option A**: Reject the null hypothesis. There is not enough evidence to reject the claim. - **Option B**: Fail to reject the null hypothesis. There is not enough evidence to reject the claim. - **Option C**: Fail to reject the null hypothesis. There is enough evidence to reject the claim. - **Option D**: Reject the null hypothesis. There is enough evidence to reject the claim. - **Option E**: A normal sampling distribution cannot be used. **Additional Help** - **Interactive Assistance**: Options such as "Help me solve this," "View an example," and "Get more help" are available for further guidance. --- **Instruction for Learners** Analyze the given options for the standardized test statistic and decision-making process to understand the hypothesis testing framework. Use the available interactive resources for step-by-step solutions and further learning.
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