USE THE FOLLOWING DIRECTION FOR 1A AND 1B: In 2010, a random sample of 250 dog owners was taken and it was found that 140 owned more than one dog. Recently, a random sample of 400 dog owners showed that 200 owned more than one dog. Do these data indicate that the proportion of dog owners owning more than one dog has decreased? Use a 5% level of significance, and p1= proportion of dog owners who owned more than one dog in 2010. If you conduct hypothesis testing, you have to consider:

a. one-tailed test

b. two-tailed test

c. one-tailed test because sample proportions are different.

d. two-tailed test because sample size is large.

1b.) Assuming computed Z of 1.04 for the test, what is your conclusion?

a. Reject H0. Proportion of dog owners owning more than one dog has decreased.

b. Fail to reject H0. Proportion of dog owners owning more than one dog has decreased.

c. Reject H0. Proportion of dog owners owning more than one dog has not decreased.

d. Fail to reject H0. Proportion of dog owners owning more than one dog has not decreased.

e. None of the above.

1c.) A Rutgers University professor claims that there is no significant difference between proportion of female (f) and male students (m) of the university who exercise at least 15 minutes a day. What would be a proper conclusion if he collects data, conducts hypothesis test, and finds P-value of 0%.

a. Reject H0. There is a significant difference. --> I THINK THIS IS THE ANSWER BUT I JUST WANT TO KNOW WHY

b. Reject H0. There is no significant difference.

c. Fail to reject H0. There is a significant difference.

d. Fail to reject H0. There is no significant difference.

1d.) A Rutgers University professor claims that female students study more than male students. What would be a proper conclusion if he collects data from random sample of 200 males and sample of 343 females, and finds P-value of 0.65?

a. Reject H0. Female students study more than male students.

b. Fail to reject H0. Female students study more than male students.

c. Fail to reject H0. Female students study less than male students.

d. Fail to reject H0. Female students study almost the same as male students. ---> I THINK THIS IS THE ANSWER I JUST WANT TO KNOW WHY

The College Board provided comparisons of Scholastic Aptitude Test (SAT) scores based on the highest level of education attained by the test taker's parents. A research hypothesis was that students whose parents had attained a higher level of education would on average score higher on the SAT. The overall mean SAT math score was 514. SAT math scores for independent samples of students follow. The first sample shows the SAT math test scores for students whose parents are college graduates with a bachelor's degree. The second sample shows the SAT math test scores for students whose parents are high school graduates but do not have a college degree.
College Grads
501   487
534   533
666   510
554   394
566   531
556   594
481   464
608   485

High School Grads
442   492
580   478
479   425
486   485
528   390
524   535
(a)
Formulate the hypotheses that can be used to determine whether the sample data support the hypothesis that students show a higher population mean math score on the SAT if their parents attained a higher level of education. (Let μ1 = population mean verbal score of students whose parents are college graduates with a bachelor's degree and μ2 = population mean verbal score of students whose parents are high school graduates but do not have a college degree.)

H0: μ1 − μ2 = 0
Ha: μ1 − μ2 ≠ 0

H0: μ1 − μ2 < 0
Ha: μ1 − μ2 = 0
  

H0: μ1 − μ2 ≠ 0
Ha: μ1 − μ2 = 0

H0: μ1 − μ2 ≥ 0
Ha: μ1 − μ2 < 0

H0: μ1 − μ2 ≤ 0
Ha: μ1 − μ2 > 0
(b)
What is the point estimate of the difference between the means for the two populations?

(c)
Find the value of the test statistic. (Round your answer to three decimal places.)

Compute the p-value for the hypothesis test. (Round your answer to four decimal places.)
p-value =
(d)
At
α = 0.05,
what is your conclusion?
Do not Reject H0. There is sufficient evidence to conclude that higher population mean verbal scores are associated with students whose parents are college graduates.
Reject H0. There is sufficient evidence to conclude that higher population mean verbal scores are associated with students whose parents are college graduates.
Reject H0. There is insufficient evidence to conclude that higher population mean verbal scores are associated with students whose parents are college graduates.
Do not reject H0. There is insufficient evidence to conclude that higher population mean verbal scores are associated with students whose parents are college graduates.

As a lab instructor in machining, you are required to prepare a lab module for a
laboratory session with your students. In this session, the students are required to
produce aT-Slot. Prepare the methodology to produce the T -Slot with
illustrations for the lab module.

Ten students shall be sorted into the four houses (namely Gryffindor, Slytherin, Ravenclaw, and Hufflepuff) in Hogwarts. If at least one student shall go to each house, how many ways can the students be sorted?

When 355 college students are randomly selected and surveyed, it is found that 129 own a car. Construct a 96% confidence interval for the percentage of all college students who own a car. (3 decimal places)

Suppose we have 4 students and we take their phones then return the phones to them randomly. Let X be the number of students who receive their own phone. Create a probability distribution chart for X.

Question 6: Recommend/ Explain a program that takes the information of 40 students in following order
Name:

Father Name:

Enrollment number:

Date of birth:

After taking the information of the students, it then displays the entered information.

discuss any four challenges that students who have just started tertiary education are faced with and that you think are most likely to contribute to the below average marks that the students are acquiring in the module and solutions to the challenges

Citing two to four additional scholarly sources, explain how an instructor might improve student performance for a large class (75 students) and a small class (15 students) using facilitation method(s).