Please answer all sub-parts Test the claim that the proportion of people who own cats is larger than 10% at the 0.10 significance level. The null and alternative hypothesis would be: H0:μ=0.1H0:μ=0.1 Ha:μ≠0.1Ha:μ≠0.1 H0:p=0.1H0:p=0.1 Ha:p≠0.1Ha:p≠0.1 H0:μ≤0.1H0:μ≤0.1 Ha:μ>0.1Ha:μ>0.1 H0:μ≥0.1H0:μ≥0.1 Ha:μ<0.1Ha:μ<0.1 H0:p≥0.1H0:p≥0.1 Ha:p<0.1Ha:p<0.1 H0:p≤0.1H0:p≤0.1 Ha:p>0.1Ha:p>0.1 The test is: two-tailed right-tailed left-tailed Based on a sample of 500 people, 12% owned cats The test statistic is: (Round to 2 decimals) The p-value is: (Round to 2 decimals) Based on this we: Reject the null hypothesis Do not reject the null hypothesis
Please answer all sub-parts
Test the claim that the proportion of people who own cats is larger than 10% at the 0.10 significance level.
The null and alternative hypothesis would be:
- H0:μ=0.1H0:μ=0.1
Ha:μ≠0.1Ha:μ≠0.1 - H0:p=0.1H0:p=0.1
Ha:p≠0.1Ha:p≠0.1 - H0:μ≤0.1H0:μ≤0.1
Ha:μ>0.1Ha:μ>0.1 - H0:μ≥0.1H0:μ≥0.1
Ha:μ<0.1Ha:μ<0.1 - H0:p≥0.1H0:p≥0.1
Ha:p<0.1Ha:p<0.1 - H0:p≤0.1H0:p≤0.1
Ha:p>0.1Ha:p>0.1
The test is:
- two-tailed
- right-tailed
- left-tailed
Based on a sample of 500 people, 12% owned cats
The test statistic is: (Round to 2 decimals)
The p-value is: (Round to 2 decimals)
Based on this we:
- Reject the null hypothesis
- Do not reject the null hypothesis
A hypothesis test can be conducted to make conclusions about the population proportion. The standard normal distribution is used to conduct this type of hypothesis test.
The test statistic is computed by , where is sample proportion, p is population proportion claimed in null hypothesis and n is the sample size. If the test is two tailed then the p-value is equal to two tail area and if the test is one tailed (left or right) then the p-value is equal to area of one tail.
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