Test the claim that the proportion of people who own cats is smaller than 10% at the 0.05 significance level. The null and alternative hypothesis would be: H0:μ≤0.1H0:μ≤0.1 H1:μ>0.1H1:μ>0.1 H0:p≤0.1H0:p≤0.1 H1:p>0.1H1:p>0.1 H0:μ=0.1H0:μ=0.1 H1:μ≠0.1H1:μ≠0.1 H0:p≥0.1H0:p≥0.1 H1:p<0.1H1:p<0.1 H0:μ≥0.1H0:μ≥0.1 H1:μ<0.1H1:μ<0.1 H0:p=0.1H0:p=0.1 H1:p≠0.1H1:p≠0.1 The test is: left-tailed right-tailed two-tailed Based on a sample of 100 people, 2% owned cats The p-value is:

Test the claim that the proportion of people who own cats is smaller than 10% at the 0.05 significance level. The null and alternative hypothesis would be: H0:μ≤0.1H0:μ≤0.1 H1:μ>0.1H1:μ>0.1 H0:p≤0.1H0:p≤0.1 H1:p>0.1H1:p>0.1 H0:μ=0.1H0:μ=0.1 H1:μ≠0.1H1:μ≠0.1 H0:p≥0.1H0:p≥0.1 H1:p<0.1H1:p<0.1 H0:μ≥0.1H0:μ≥0.1 H1:μ<0.1H1:μ<0.1 H0:p=0.1H0:p=0.1 H1:p≠0.1H1:p≠0.1 The test is: left-tailed right-tailed two-tailed Based on a sample of 100 people, 2% owned cats The p-value is:

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Description: Test the claim that the proportion of people who own cats is smaller than 10% at the 0.05 significance level.The null and alternative hypothesis would be: H0:μ≤0.1H0:μ≤0.1H1:μ>0.1H1:μ>0.1H0:p≤0.1H0:p≤0.1H1:p>0.1H1:p>0.1H0:μ=0.1H0:μ=0.1H1:μ≠0.1H1:μ≠0.

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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Concept explainers

2-Proportion Test

In a 2-proportion test, two separate proportions are measured at the same time, and their similarity is evaluated. It is also known as a 2-proportion z-test, and a comparison of two different proportions is done in this method.

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Question

Test the claim that the proportion of people who own cats is smaller than 10% at the 0.05 significance level.

The null and alternative hypothesis would be:

H0:μ≤0.1H0:μ≤0.1
H1:μ>0.1H1:μ>0.1

H0:p≤0.1H0:p≤0.1
H1:p>0.1H1:p>0.1

H0:μ=0.1H0:μ=0.1
H1:μ≠0.1H1:μ≠0.1

H0:p≥0.1H0:p≥0.1
H1:p<0.1H1:p<0.1

H0:μ≥0.1H0:μ≥0.1
H1:μ<0.1H1:μ<0.1

H0:p=0.1H0:p=0.1
H1:p≠0.1H1:p≠0.1

The test is:

left-tailed

right-tailed

two-tailed

Based on a sample of 100 people, 2% owned cats

The p-value is:

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Test the claim that the proportion of men who own cats is smaller than 90% at the .05 significance level.The null and alternative hypothesis would be: H0:μ=0.9H0:μ=0.9H1:μ>0.9H1:μ>0.9 H0:p=0.9H0:p=0.9H1:p>0.9H1:p>0.9 H0:p=0.9H0:p=0.9H1:p≠0.9H1:p≠0.9 H0:μ=0.9H0:μ=0.9H1:μ≠0.9H1:μ≠0.9 H0:μ=0.9H0:μ=0.9H1:μ<0.9H1:μ<0.9 H0:p=0.9H0:p=0.9H1:p<0.9H1:p<0.9 The test is: right-tailed two-tailed left-tailed Based on a sample of 65 people, 87% owned catsThe test statistic is:  (to 2 decimals)The critical value is:  (to 2 decimals)Based on this we: Fail to reject the null hypothesis Reject the null hypothesis I dont understand this.
Test the claim that the mean GPA of night students is smaller than 2.1 at the 0.025 significance level.The null and alternative hypothesis would be: H0:μ=2.1H0:μ=2.1H1:μ≠2.1H1:μ≠2.1 H0:p≤0.525H0:p≤0.525H1:p>0.525H1:p>0.525 H0:μ≤2.1H0:μ≤2.1H1:μ>2.1H1:μ>2.1 H0:p≥0.525H0:p≥0.525H1:p<0.525H1:p<0.525 H0:μ≥2.1H0:μ≥2.1H1:μ<2.1H1:μ<2.1 H0:p=0.525H0:p=0.525H1:p≠0.525H1:p≠0.525 The test is: right-tailed two-tailed left-tailed Based on a sample of 40 people, the sample mean GPA was 2.06 with a standard deviation of 0.04The test statistic is:  (to 2 decimals)The p-value is:  (to 2 decimals)Based on this we: Fail to reject the null hypothesis Reject the null hypothesis
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Test the claim that the mean GPA of night students is larger than 2.5 at the 0.01 significance level.The null and alternative hypothesis would be: H0:μ=2.5H0:μ=2.5H1:μ≠2.5H1:μ≠2.5 H0:μ≤2.5H0:μ≤2.5H1:μ>2.5H1:μ>2.5 H0:p≤0.625H0:p≤0.625H1:p>0.625H1:p>0.625 H0:p=0.625H0:p=0.625H1:p≠0.625H1:p≠0.625 H0:p≥0.625H0:p≥0.625H1:p<0.625H1:p<0.625 H0:μ≥2.5H0:μ≥2.5H1:μ<2.5H1:μ<2.5 The test is: right-tailed left-tailed two-tailed Based on a sample of 40 people, the sample mean GPA was 2.51 with a standard deviation of 0.07The test statistic is:  (to 2 decimals)The p-value is:  (to 2 decimals)Based on this we: Reject the null hypothesis Fail to reject the null hypothesis
Test the claim that the mean GPA of night students is larger than 2.2 at the 0.10 significance level.The null and alternative hypothesis would be: H0:p≤0.55H0:p≤0.55HA:p>0.55HA:p>0.55 H0:μ=2.2H0:μ=2.2HA:μ≠2.2HA:μ≠2.2 H0:μ≥2.2H0:μ≥2.2HA:μ<2.2HA:μ<2.2 H0:p=0.55H0:p=0.55HA:p≠0.55HA:p≠0.55 H0:p≥0.55H0:p≥0.55HA:p<0.55HA:p<0.55 H0:μ≤2.2H0:μ≤2.2HA:μ>2.2HA:μ>2.2 The test is: left-tailed two-tailed right-tailed Based on a sample of 35 people, the sample mean GPA was 2.25 with a standard deviation of 0.03The p-value is:  (to 2 decimals)Based on this we: Reject the null hypothesis Fail to reject the null hypothesis
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