Question

Test the claim that the proportion of people who own cats is larger than 60 t the 0. 10 significance level?

Answer 1

The null hypothesis to test the claim that the proportion of people who owns cats is larger than 60% of the significance level is $H_{0}$:μ<0.06.

Given that the significance level is 0.10.

We are required to form the null hypothesis to test the claim that the proportion of people who owns cats is larger than 60% the significance level.

Hypothesis is a statement which is tested for its validity. Null hypothesis is the statement which is accepted or not by z test,t test,f test ,chi-square test or any other test.

We have to take opposite of the statement to form a null hypothesis. Since we have to check whether the proportion of people who owns cats is larger than 60% of the significance level, we have to assume that it is smaller than 60% of the significance level.

60% of the significance level=0.60*0.10=0.06.

Null hypothesis is $H_{0}$:μ<0.06

Hence the null hypothesis to test the claim that the proportion of people who owns cats is larger than 60% of the significance level is $H_{0}$:μ<0.06.

Question is incomplete.The question should include the following:

Find the null hypothesis for the testing.

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