A poll of 2,139 randomly selected adults showed that 92% of them own cell phones. The technology display below results from a test of the claim that 91% of adults own cell phones. Use the normal distribution as an approximation to the binomial distribution, and assume a 0.05 significance level. identify the tests statistical, P- value, null hypotheses, two -tailed left tailed or both and the conclusion. ---**Hypothesis Testing Example****Test of $ p = 0.91 $ vs $ p \neq 0.91 $**| Sample | X | N | Sample p | 95% CI | Z-Value | P-Value ||--------|-----|--------|------------|-------------------------------|---------|---------|| 1 | 1967| 2,139 | 0.919589 | (0.908065, 0.931112) | 1.55 | 0.121 |**a. Is the test two-tailed, left-tailed, or right-tailed?**- ☐ Left-tailed test- ☐ Right-tailed test- ☐ Two-tailed test---**Explanation of Table:**- **Sample**: The identifier for the sample tested.- **X**: The number of successes in the sample.- **N**: The total number of trials in the sample.- **Sample p**: The proportion of successes in the sample.- **95% CI**: The 95% confidence interval for the proportion.- **Z-Value**: The test statistic used to test the hypothesis.- **P-Value**: The probability value associated with the Z-Value.---When conducting a hypothesis test, it is important to determine the direction of the test:1. **Left-tailed test**: Tests whether the population proportion is less than the hypothesized proportion.2. **Right-tailed test**: Tests whether the population proportion is greater than the hypothesized proportion.3. **Two-tailed test**: Tests whether the population proportion is different from the hypothesized proportion (could be either less than or greater than).In this example, the test is conducted for $ p = 0.91 $ vs $ p \neq 0.91 $, indicating a two-tailed test. Therefore, the option "Two-tailed test" should be selected.---

Answered: A poll of 2,139 randomly selected…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

See similar textbooks

Related questions

Concept explainers

Question

A poll of 2,139 randomly selected adults showed that 92% of them own cell phones. The technology display below results from a test of the claim that 91% of adults own cell phones. Use the normal distribution as an approximation to the binomial distribution, and assume a 0.05 significance level.

identify the tests statistical, P- value, null hypotheses, two -tailed left tailed or both and the conclusion.

---

**Hypothesis Testing Example**

**Test of $ p = 0.91 $ vs $ p \neq 0.91 $**

| Sample | X | N | Sample p | 95% CI | Z-Value | P-Value |
|--------|-----|--------|------------|-------------------------------|---------|---------|
| 1 | 1967| 2,139 | 0.919589 | (0.908065, 0.931112) | 1.55 | 0.121 |

**a. Is the test two-tailed, left-tailed, or right-tailed?**

- ☐ Left-tailed test
- ☐ Right-tailed test
- ☐ Two-tailed test

---

**Explanation of Table:**

- **Sample**: The identifier for the sample tested.
- **X**: The number of successes in the sample.
- **N**: The total number of trials in the sample.
- **Sample p**: The proportion of successes in the sample.
- **95% CI**: The 95% confidence interval for the proportion.
- **Z-Value**: The test statistic used to test the hypothesis.
- **P-Value**: The probability value associated with the Z-Value.

---

When conducting a hypothesis test, it is important to determine the direction of the test:

1. **Left-tailed test**: Tests whether the population proportion is less than the hypothesized proportion.
2. **Right-tailed test**: Tests whether the population proportion is greater than the hypothesized proportion.
3. **Two-tailed test**: Tests whether the population proportion is different from the hypothesized proportion (could be either less than or greater than).

In this example, the test is conducted for $ p = 0.91 $ vs $ p \neq 0.91 $, indicating a two-tailed test. Therefore, the option "Two-tailed test" should be selected.

---

Features Features Normal distribution is characterized by two parameters, mean (µ) and standard deviation (σ). When graphed, the mean represents the center of the bell curve and the graph is perfectly symmetric about the center. The mean, median, and mode are all equal for a normal distribution. The standard deviation measures the data's spread from the center. The higher the standard deviation, the more the data is spread out and the flatter the bell curve looks. Variance is another commonly used measure of the spread of the distribution and is equal to the square of the standard deviation.

Expert Solution

Trending now

This is a popular solution!

Step by step

Solved in 2 steps with 1 images

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

$Point Estimation, Limit Theorems, Approximations, and Bounds$

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, statistics and related others by exploring similar questions and additional content below.

Similar questions