### Statistical Analysis Exercise**Tail Types:**- ☐ Left-tailed- ☐ Right-tailed- ☐ Two-tailed---**Sample Data:**- Based on a sample of 65 people, 98% owned cats.**Calculations:**- **The test statistic is:** [Enter value here] (to 2 decimals)- **The positive critical value is:** [Enter value here] (to 2 decimals)---**Conclusion:**- Based on this, we: ☐ Fail to reject the null hypothesis ☐ Reject the null hypothesis---This exercise is designed to help learners practice determining the significance of a study based on hypothesis testing. It involves calculating the test statistic and comparing it with the critical value to make a decision about the null hypothesis. **Hypothesis Testing for Proportion of Cat Owners**This educational content focuses on testing the claim that the proportion of men who own cats is significantly different from 90% at a 0.01 significance level.**Step 1: Determine the Null and Alternative Hypotheses**We propose the following hypotheses regarding the proportion $ p $:- **Null Hypothesis ($ H_0 $)**: $ p = 0.9 $- **Alternative Hypothesis ($ H_1 $)**: $ p \neq 0.9 $ (This implies a two-tailed test as we are looking for a difference from 90%, not specifically lower or higher)(Note: In the list provided in the image, the correct box for this hypothesis setup is left unchecked, as users must identify the appropriate hypothesis themselves.)**Step 2: Identify the Type of Test**The test mentioned is:- **Two-Tailed Test:** Because we are interested in any significant difference from 90%, whether higher or lower.(Note: The corresponding checkbox should be checked for the two-tailed test option.)**Step 3: Sample Data**From a sample of 65 people, it was found that 98% owned cats. This informs the calculations and comparison against the stated hypotheses.---**Graphical or Diagram Explanation:**There are no specific graphs or diagrams in this image to explain. The content revolves around selecting hypotheses and the type of statistical test from written options.This structured approach aids in understanding statistical hypothesis testing, especially in determining correct hypotheses and identifying the appropriate type of test based on the context of the claim.

Name: ### Statistical Analysis Exercise**Tail Types:**- ☐ Left-tailed- ☐ Ri
Uploaded: 2024-03-20T07:06:16.000Z
Channel: Bartleby
Description: ### Statistical Analysis Exercise**Tail Types:**- ☐ Left-tailed- ☐ Right-tailed- ☐ Two-tailed---**Sample Data:**- Based on a sample of 65 people, 98% owned cats.**Calculations:**- **The test statistic is:** [Enter value here] (to 2 decimals)- **T

The objective is to test the claim that the proportion of men who owns cats is significantly different than 90%. Let p be the population proportion of men who owns cats . That is, p = 90% = 90/100= 0.90 The null hypothesis is that the proportion of men who owns cats is not significantly different than 90%. That is, The alternative hypothesis is that the proportion of men who owns cats is significantly different than 90%. That is, The correct option is, second option. From the alternative hypothesis, it is clear that this is a two-tailed test.Sample size, n = 65 Let p^ denote the sample proportion who owns cats. Here, p^ = 98%= 98/100= 0.98 The test statistic is, The level of significance is, .α= 0.01 From standard normal table, at 0.01 level of significance the two- tailed positive critical value is, zα/2 = z0.01/2 = + 2.33 The critical value is, 2.33 Decision rule: Reject the null hypothesis if the test statistic is greater than the critical value. That is, Z > 2.33 Here the test statistic is Z = 2.15 which is less than 2.33 . so, fail to reject the null hypothesis. Therefore, there is no sufficient evidence to conclude that the proportion of men who owns cats is significantly different than 90%.

Answered: d on a sample of 65 people, 98% ed cats…

Math

Statistics

d on a sample of 65 people, 98% ed cats cest statistic is: |(to 2 decimal

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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Concept explainers

Inverse Normal Distribution

The method used for finding the corresponding z-critical value in a normal distribution using the known probability is said to be an inverse normal distribution. The inverse normal distribution is a continuous probability distribution with a family of two parameters.

Mean, Median, Mode

It is a descriptive summary of a data set. It can be defined by using some of the measures. The central tendencies do not provide information regarding individual data from the dataset. However, they give a summary of the data set. The central tendency or measure of central tendency is a central or typical value for a probability distribution.

Z-Scores

A z-score is a unit of measurement used in statistics to describe the position of a raw score in terms of its distance from the mean, measured with reference to standard deviation from the mean. Z-scores are useful in statistics because they allow comparison between two scores that belong to different normal distributions.

Topic Video

Question

100%

### Statistical Analysis Exercise

**Tail Types:**
- ☐ Left-tailed
- ☐ Right-tailed
- ☐ Two-tailed

---

**Sample Data:**
- Based on a sample of 65 people, 98% owned cats.

**Calculations:**
- **The test statistic is:**
[Enter value here] (to 2 decimals)

- **The positive critical value is:**
[Enter value here] (to 2 decimals)

---

**Conclusion:**
- Based on this, we:
☐ Fail to reject the null hypothesis
☐ Reject the null hypothesis

---

This exercise is designed to help learners practice determining the significance of a study based on hypothesis testing. It involves calculating the test statistic and comparing it with the critical value to make a decision about the null hypothesis.

**Hypothesis Testing for Proportion of Cat Owners**

This educational content focuses on testing the claim that the proportion of men who own cats is significantly different from 90% at a 0.01 significance level.

**Step 1: Determine the Null and Alternative Hypotheses**

We propose the following hypotheses regarding the proportion $ p $:

- **Null Hypothesis ($ H_0 $)**: $ p = 0.9 $
- **Alternative Hypothesis ($ H_1 $)**: $ p \neq 0.9 $ (This implies a two-tailed test as we are looking for a difference from 90%, not specifically lower or higher)

(Note: In the list provided in the image, the correct box for this hypothesis setup is left unchecked, as users must identify the appropriate hypothesis themselves.)

**Step 2: Identify the Type of Test**

The test mentioned is:
- **Two-Tailed Test:** Because we are interested in any significant difference from 90%, whether higher or lower.

(Note: The corresponding checkbox should be checked for the two-tailed test option.)

**Step 3: Sample Data**

From a sample of 65 people, it was found that 98% owned cats. This informs the calculations and comparison against the stated hypotheses.

---

**Graphical or Diagram Explanation:**

There are no specific graphs or diagrams in this image to explain. The content revolves around selecting hypotheses and the type of statistical test from written options.

This structured approach aids in understanding statistical hypothesis testing, especially in determining correct hypotheses and identifying the appropriate type of test based on the context of the claim.

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