**Statistical Claim and Test Statistic Calculation****Claim:**Fewer than 94% of adults have a cell phone. In a reputable poll of 1082 adults, 85% said that they have a cell phone. Find the value of the test statistic.**Calculation:**The value of the test statistic is [ ]. *(Round to two decimal places as needed.)***Explanation:**- **Claim**: This is the hypothesis that is being tested, stating that less than 94% of adults own a cell phone.- **Sample Data**: The sample used for testing the hypothesis consists of 1082 adults, with 85% of them reporting cell phone ownership.- **Test Statistic**: The numerical value calculated from the sample data to assess the validity of the claim. It is critical for determining if the observed sample proportion significantly differs from the claimed population proportion.To calculate the value of the test statistic, one would typically use the formula for the z-score in hypothesis testing for proportions:\[ z = \frac{\hat{p} - p_0}{\sqrt{\frac{p_0(1-p_0)}{n}}} \]Where:- $\hat{p}$ = sample proportion (0.85)- $p_0$ = claimed population proportion (0.94)- $n$ = sample size (1082)After solving, you would round the result to two decimal places as needed. The calculated z-score will then indicate how many standard deviations the observed sample proportion is from the claimed population proportion.

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Description: **Statistical Claim and Test Statistic Calculation****Claim:**Fewer than 94% of adults have a cell phone. In a reputable poll of 1082 adults, 85% said that they have a cell phone. Find the value of the test statistic.**Calculation:**The value of the

Given n=1082, pcap=85%=0.85, p=94%=0.94 Ho:p=0.94 vs H1: p<0.94

Math

Statistics

Claim: Fewer than 94% of adults have a cell phone. In a reputable poll of 1082 adults, 85% said that they have a cell phone. Find the value of the test statistic. The value of the test statistic is. (Round to two decimal places as needed.)

Claim: Fewer than 94% of adults have a cell phone. In a reputable poll of 1082 adults, 85% said that they have a cell phone. Find the value of the test statistic. The value of the test statistic is. (Round to two decimal places as needed.)

Holt Mcdougal Larson Pre-algebra: Student Edition 2012

1st Edition

ISBN:9780547587776

Author:HOLT MCDOUGAL

Publisher:HOLT MCDOUGAL

Chapter11: Data Analysis And Probability

Section11.5: Interpreting Data

Problem 1E

See similar textbooks

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Concept explainers

Types of Bias

Statistics is the study of data collection, organization, analysis, interpretation, and presentation. Statistical bias is a characteristic of a statistical technique or its findings in which the expected value deviates from the actual root quantitative parameter being estimated. According to the actual definition of bias, it refers to the tendency of a statistic to overestimate or underestimate a parameter.

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Question

**Statistical Claim and Test Statistic Calculation**

**Claim:**
Fewer than 94% of adults have a cell phone. In a reputable poll of 1082 adults, 85% said that they have a cell phone. Find the value of the test statistic.

**Calculation:**
The value of the test statistic is [ ].

*(Round to two decimal places as needed.)*

**Explanation:**
- **Claim**: This is the hypothesis that is being tested, stating that less than 94% of adults own a cell phone.
- **Sample Data**: The sample used for testing the hypothesis consists of 1082 adults, with 85% of them reporting cell phone ownership.
- **Test Statistic**: The numerical value calculated from the sample data to assess the validity of the claim. It is critical for determining if the observed sample proportion significantly differs from the claimed population proportion.

To calculate the value of the test statistic, one would typically use the formula for the z-score in hypothesis testing for proportions:

\[ z = \frac{\hat{p} - p_0}{\sqrt{\frac{p_0(1-p_0)}{n}}} \]

Where:
- $\hat{p}$ = sample proportion (0.85)
- $p_0$ = claimed population proportion (0.94)
- $n$ = sample size (1082)

After solving, you would round the result to two decimal places as needed. The calculated z-score will then indicate how many standard deviations the observed sample proportion is from the claimed population proportion.

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