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Two simple random samples, sample A and sample B, of NUS students were taken. Sample A consisted of 100 NUS students. while sample B consisted
Two simple random samples, sample A and sample B, of NUS students were taken. Sample A consisted of 100 NUS students. while sample B consisted of 250 NUS students. For both samples A and B, the sample proportion of NUS students that visit campus at least once a week from January 2021 to March 2021 is 0.8. For sample A. a 95% confidence interval for the proportion of NUS students that visit campus at least once a week fromJanuary 2021 to March 2021 was constructed to be [0.75. 0.85]. Which of the following statements must be true? Select all that apply. [1 mark) A minimum of 75% ofall NUS students visit campus at least once a week fromJanuary 2021 to March 2021. A maximum of 85% of all NUS students visit campus at least once a week fromJanuary 2021 to March 2021. _ If a 90% confidence interval for the proportion of NUS students that visit campus at least once a week fromJan uary 2021 to March 2021 is constructed using sample A, the width of the condence interval will be narrower than [0.75, 0.85]. _ If a 95% confidence interval for the proportion of NUS students that visit campus at least once a week fromJan uary 2021 to March 2021 is constructed using sample B, the width of the confidence interval will be narrower than [0.75, 0.85]. _ The population proportion of NUS students that visit campus at least once a week fromJanuary 2021 to March 2021 must be either in the 95% * condence interval of sample A or the 95% condence interval of sample B
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