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.

Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter11: Data Analysis And Probability
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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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