The university is trying to determine how many online courses to offer next year. As more students were exposed to online courses in 2020 and 2021, the university administration believes the demand for online courses will be higher in 2023. In a 2019 survey, 1,470of 20,993 students said they preferred online courses. In a 2021 survey 1,556of 21,003 students said they preferred online courses. Conduct the appropriate test to determine if the proportion of students who prefer online courses was lower in 2019 compared to 2021.

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a. Specify the null and alternative hypotheses.

b. What are the values for the test statistic and p-value? (Round to 4decimal places)

c. At the 5% significance level, what are the decision and conclusion for thistest?