Test the claim that the proportion of people who own cats is significantly different than $$ 10 \% $$ at the 0.2 significance level. The null and alternative hypothesis would be: $$ H_{0}: p=0.1 \quad H_{0}: p=0.1 \quad H_{0}: \mu=0.1 \quad H_{0}: \mu=0.1 \quad H_{0}: p=0.1 \quad H_{0}: \mu=0.1 $$ $$ H_{1}: p eq 0.1 \quad H_{1}: p0.1 \quad H_{1}: p0.1 H_{1}: \mu

Question

Test the claim that the proportion of people who own cats is significantly different than $$ 10 \% $$ at the 0.2 significance level. The null and alternative hypothesis would be: $$ H_{0}: p=0.1 \quad H_{0}: p=0.1 \quad H_{0}: \mu=0.1 \quad H_{0}: \mu=0.1 \quad H_{0}: p=0.1 \quad H_{0}: \mu=0.1 $$ $$ H_{1}: p eq 0.1 \quad H_{1}: p<0.1 \quad H_{1}: \mu eq 0.1 \quad H_{1}: \mu>0.1 \quad H_{1}: p>0.1 H_{1}: \mu<0.1 $$ The test is: right-tailed left-tailed two-tailed Based on a sample of 700 people, $$ 8 \% $$ owned cats The test statistic is: $$ -\quad $$ This is not a decimal or integer value. (to 4 decimal places) The p-value is:

Hodgson Bird · Accepted Answer

The null and alternative hypotheses are $$ H_0: p = 0.1 $$ and $$ H_1: p 
eq 0.1 $$. The test statistic is $$ z \approx -1.7699 $$ and the p-value is $$ \approx 0.0774 $$. At the $$0.2$$ significance level, we reject the null hypothesis.

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