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, $H}_{0$: p= 0.25 versus $H}_{a$: p > 0.25, at significance level $\alpha$ = 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.