Question

Test the claim that the proportion of men who own cats is smaller than 70% at the 0.05 significance level. The null and alternative hypothesis would be:

Answer 1

the null hypothesis would be: p = 70%/0.7

The alternative hypothesis would be: p < 0.7

Explanation:

The null hypothesis is most of the time always the default statement while the alternative hypothesis is tested against the null and is its opposite.

In this case study the null hypothesis would be: the proportion of men who own cats is 70%: p = 0.7

The alternative hypothesis would be: the proportion of men who own cats is smaller than 70% : p < 0.7