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STA1010 - Statistical methods for science - S2 2025
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A study examined the survival of patients with heart disease and pet ownership. Each patient with heart disease was classified as having a pet or not and whether they survived for one year.
The data are given below.
| Pet | Ownership | |
| Patient status | No | Yes |
| Alive | 31 | 50 |
| Dead | 10 | 5 |
Assuming no relationship between pet ownership and survival of patients, calculate (correct to 1 decimal place) the chi-square statistic.
A researcher wanted to test whether there is a difference in the average nitrogen content in the creek water for 4 different creeks in outer Melbourne. Along each creek, she took 10 random samples of water to measure and then determine the average for each creek. What is the alternative hypothesis for this situation?
A study compared the VCE ENTER scores among 3rd year students in Science taking 4 different majors (Math, Geosciences, Biology and Chemistry) using analysis of variance. A total sample size of 20 students (5 in each major) was studied. The MSE value was found to be 3.5 and the MST value was 22.5. What is the value of the F-statistic?
A study compared the VCE ENTER scores among 3rd year students in Science taking 4 different majors (Math, Geosciences, Biology and Chemistry) using analysis of variance. A total sample size of 20 students (5 in each major) was studied. The p-value for the F-test is 0.012. If the significance level =0.05, what is the conclusion from the analysis of variance?
Interpret the results of the chi-square test at the 5% significance level.Tests for adverse reactions to a new drug yielded the results given in the table. χ2 = 1.798; P-value = 0.1799
A study examined the survival of patients with heart disease and pet ownership. Each patient with heart disease was classified as having a pet or not and whether they survived for one year.
The data are given below.
| Pet | Ownership | |
| Patient status | No | Yes |
| Alive | 27 | 50 |
| Dead | 10 | 5 |
Assuming no relationship between pet ownership and survival of patients, what is the expected number (correct to 1 decimal place) of patients who do not have a pet and survived for one year?
In carrying out a chi-square goodness-of-fit test with six categories, the test statistic is calculated to be 11. The P-value is closest to
Determine the null and alternative hypotheses for the study that produced the data in the table.The Book Industry Study Group, Inc. performs sample surveys to obtain information on characteristics of book readers. A book reader is defined to be one who read one or more books in the six months prior to the survey; a non-book reader is defined to be one who read newspapers or magazines but no books in the six months prior to the survey; a nonreader is defined to be one who did not read a book, newspaper, or magazine in the six months prior to the survey. The following data were obtained from a random sample of 1429 persons 16 years old and over in an effort to determine whether or not the proportions of book readers, non-book readers, and non-readers are the same for each income bracket.