The null hypothesis, denoted by H0, is the statement that the proportion of take out orders is equal to 25%. In this case, the null hypothesis is written as H0: p = 0.25, where p is the proportion of take out orders.
The null hypothesis is the opposite of the business owner's claim that the proportion of take out orders is greater than 25%. The purpose of a hypothesis test is to determine if there is sufficient evidence to support the business owner's claim that the proportion of take out orders is greater than 25%.
To do this, the business owner will compare the observed proportion of take out orders to the null hypothesis of 25%. If the observed proportion of take out orders is considerably greater than 25%, then the null hypothesis can be rejected in favor of the business owner's claim.
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