A study of the population of NUIG students showed that out of a sample of 155 students surveyed, 45 said they regularly cooked their own food during term time. Carry out a hypothesis test to determine if this gives evidence that more than 25% of the population of NUIG students regularly cooked their own food during term time, i.e test the hypotheses for true population proportion, H0: p= 0.25 versus Ha: p > 0.25, at significance level α = 0.05 Complete the test by filling in the blanks in the following: An estimate of the population proportion is . The standard error is . (3 dec places) The distribution is  (examples: normal / t12 / chisquare4 / F5,6). The test statistic has value TS=. (2 dec places) Testing at significance level α = 0.05, the rejection region is: greater than  (2 dec places). There  (is / is no) evidence to suggest that the true proportion of the population of all NUIG students who regularly cooked their own food during term time, p, is greater than 0.25.

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2-Proportion Test

In a 2-proportion test, two separate proportions are measured at the same time, and their similarity is evaluated. It is also known as a 2-proportion z-test, and a comparison of two different proportions is done in this method.