Question

In a recent survey conducted by a professor of UM, 200 students were asked whether or not they have a satisfying experience with the e-learning approach adopted by the school in the current semester. Among the 200 students interviewed, 121 said they have a satisfying experience. What is the 99% confidence interval for the proportion of all UM students who have a satisfying experience with the e-learning approach?

Select one:

a. 0.548 to 0.662

b. 0.524 to 0.686

c. 0.537 to 0.673

d. 0.516 to 0.694

Three professors at the University of Macau compared two different approaches to teaching courses in the faculty of business administration. At the time of the study, there were 2,100 students in the faculty, and 96 students were involved in the study. Demographic data collected on these 96 students included year of study (first, second, third, fourth), age, gender, and major. The demographic variable of year of study is an example of

Select one:

a. a discrete numerical variable.

b. none of the other choices.

c. a categorical variable.

d. a continuous numerical variable.

Suppose a video teaching method will be adopted if a hypothesis test supports the conclusion that the video teaching method increases the mean grade point average (GPA) of students. Now, the mean GPA of students for the current face-to face teaching method is 3.04. Which of the following is FALSE?

Select one:

a. Type I error may be made when the hypothesis test concludes that the video teaching method will be adopted but actually the mean GPA of students for the video teaching method does not increase the GPA of students from the current face-to-face teaching method.

b. At the 0.05 level of significance, the video teaching method will be adopted if the sample mean GPA for the video teaching method is found to be higher than 3.04

c. Type II error may be made when the hypothesis test concludes that the video teaching method will not be adopted but actually the mean GPA of students for the video teaching method is higher than 3.04.

d. In this hypothesis test, H₀: μ ≤ 3.04 vs H₁: μ > 3.04

A survey of 30 couples showed the sample mean number of meals eaten outside their home was 1.75 meals per week, with a standard deviation of 0.55 meal per week. Construct a 95% confidence interval for the population mean number of meals eaten outside per week.

Select one:

a. 1.58 to 1.92 meals

b. 1.72 to 1.78 meals

c. 1.54 to 1.96 meals

d. None of the other choices

Answer 1

1 ) Given : n=200 , X=121 , The estimate of sample proportion is ,

Now , ; From Z-table

Therefore , the 99% confidence interval for the proportion of all UM students who have a satisfying experience with the e-learning approach is ,

Correct option : (d)