In a random sample of n₁ = 156 male Statistics students, there are x₁ = 81 underclassmen. In a random sample of n₂ = 320 female Statistics students, there are x₂ = 221 underclassmen. The researcher would like to test the hypothesis that the percent of males who are underclassmen stats students is less than the percent of females who are underclassmen stats students.  

What is the value of the test statistic?

What is the p-value for the test of hypothesis?

Given a level of significance of =0.05, what is the critical value for the test of hypothesis?

Given a level of significance of  =0.05, what is the correct conclusion? Reject or fail to reject?

A recent national survey found that high school students watched an average (mean) of 6.6 DVDs per month with a population standard deviation of 0.90 hour. The distribution of DVDs watched per month follows the normal distribution. A random sample of 43 college students revealed that the mean number of DVDs watched last month was 6.10. At the 0.05 significance level, can we conclude that college students watch fewer DVDs a month than high school students?

Reject H₀

Cannot reject H₀

Suppose you want to test if the mean salary of CC students who have taken statistics differs from the mean salary of CC students who have not taken statistics. The mean salary of CC students who have not taken statistics is known to be 52 thousand dollars. You take a sample of 100 CC students who have taken statistics and find that they make on average 55 thousand dollars. Assume that the population standard deviation is 10 thousand dollars. What can you conclude at the 5% significance level?

In a study, 38 random students of a sample 1 were shown positive evaluations of an instructor and 33 random students of sample 2 were shown negative evaluations of the instructor. Then all subjects were shown the same lecture video given by the instructor. Sample 1 gave a mean rating of 6.6 with a standard deviation of 0.75, while sample 2 gave a mean rating of 5.9 with a standard deviation of 1. Perform a hypothesis test at the 0.06 level of significance to determine if students of sample 1 rated the professor significantly higher than the students of sample 2.

According to a recent survey conducted at a local college, we found students spend an average of 19.5 hours on their smartphone per week, with a standard deviation of 3.5 hours. Assuming the data follows the normal distribution.

a) How many percent of students in this college spend more than 15 hours on their smartphone per week?

b) If we randomly select 12 students, what is the probability that the average of these students spending on the internet is more than 20 hours per week?

c) What is the 36th percentile for number of hours spending on their smartphone per week?

About 60% of U.S full-time college students drank alcohol within a one-month period. You randomly select six U.S. full-time students. Find the probability that the number of U.S. full-time college students who drank alcohol within one-month period isa.Exactly twob.At least threec.Less than fourd.Assume, we sampled 5000 students. What expected number of U.S. full-time drank alcohol within a one-month period?e.From part (d), find the variance and the standard deviation.

An online quiz divides up people according to their usage of the computer. In a survey of 4,001 respondents, 8% were classified as "productivity enhancers" who are comfortable with technology and use the Internet for its practical value. Suppose you select a sample of 400 students at your school and the population proportion of productivity enhancers is 0.08.

a. What is the probability that in the sample, less than 10% of the students will be productivity enhancers ?

b. What is the probability that in the sample, between 6% and 10% of the students will be productivity enhancers ?

c. What is the probability that in the sample, more than 5% of the students will be productivity enhancers ?

The University is trying to decide whether to implement a mandatory remedial math course for students with low test scores upon admissions. Historically, students with low admissions test scores have failed their first math course 61% of the time. A random sample of students with low scores is selected and assigned to a remedial math course. These students are tracked and it is found that 102 out of 175 of them still fail their first regular math course.

            If the hypotheses are

            H₀: p = 0.61    H_A: p < 0.61

            what is the p-value for this test?

WITH EXPLAINATION OF WORK

Nursing faculty is responsible for creating an environment that is conducive to learning and accommodates the multiple learning styles and abilities of students. As a nurse educator, how might you design learning experiences for class and clinical environments to promote positive and effective learning for all students? Do you think students should use their preferred learning styles and perhaps risk becoming rigid and unable to learn in different ways (should a situation demand a different learning style)? Or should educators encourage students to be open to different methods of learning, moving them away from their comfort zones?

In a recent survey, it was found that 118 out of 500 randomly selected junior high school students enjoyed their math class the most. It was also found that 192 out of 1000 randomly selected high school students enjoyed their math class the most. Test the hypothesis that the percentage of junior high school students who enjoy their math class the most is different than the percentage of high school students who enjoy their math class the most. Use the α = 0.01 level of significance. The P-value is __, rounded to the nearest ten-thousandth.