### Testing Hypothesis on Cat Ownership Between Men and Women**Objective:**To analyze if the proportion of men who own cats significantly differs from the proportion of women who own cats.**Data Sample:**- Number of men surveyed: 100 - Percentage of men owning cats: 60%- Number of women surveyed: 150 - Percentage of women owning cats: 70%**Step-by-Step Instructions:**1. **Calculate the Number of "Successes":** "Success" in this context refers to individuals who own cats. - For men (\( x_1 \)): \[ x_1 = \text{Number of men} \times \text{Percentage of men owning cats} = 100 \times 0.60 = 60 \] - For women (\( x_2 \)): \[ x_2 = \text{Number of women} \times \text{Percentage of women owning cats} = 150 \times 0.70 = 105 \]2. **Compute the Pooled Proportion (\( \bar{p} \)):** The pooled proportion (\( \bar{p} \)) represents the combined ratio of successes (people owning cats) over the total sample size. \[ \bar{p} = \frac{x_1 + x_2}{\text{Number of men} + \text{Number of women}} = \frac{60 + 105}{100 + 150} = \frac{165}{250} = 0.66 \] Rounded to two decimal places, the pooled proportion (\( \bar{p} \)) is 0.66.(Note: A simple calculator is sufficient to perform this computation.)**Reminder:**You only need to compute the pooled proportion for this exercise. It is not required to conduct the hypothesis test itself.

From the given information we want to find the Pooler proportion.

You are testing the claim that the proportion of men who own cats is significantly different than the proportion of women who own cats. You sample 100 men, and 60% own cats. You sample 150 women, and 70% own cats. Find the pooled proportion, p (p-bar), as a decimal, rounded to two decimal places. To do this, first compute the number of "successes" of men, x1, and women, x2. These need to be integers, so round, if necessary. (A simple calculator is sufficient to do this computation.) (You do not need to compute the hypothesis test.)

You are testing the claim that the proportion of men who own cats is significantly different than the proportion of women who own cats. You sample 100 men, and 60% own cats. You sample 150 women, and 70% own cats. Find the pooled proportion, p (p-bar), as a decimal, rounded to two decimal places. To do this, first compute the number of "successes" of men, x1, and women, x2. These need to be integers, so round, if necessary. (A simple calculator is sufficient to do this computation.) (You do not need to compute the hypothesis test.)

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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