1. A random sample of 100 traditional aged college students were asked whether they would turn to their father or mother for advise if they had a personal problem.   A second sample of 100 different traditional aged college students was asked the same question regarding an academic issue.   If 47 of the students in the first sample and 56 of the students in the second sample replied that they turned to their mother rather than their father for help, test the hypothesis of no difference in the proportions. Use ΅ = 0.05.

H0=

H1= Test Statistic =

Critical Value=                       or P- value=

Conclusion=

2. Using the information contained within the previous problem,

1. Construct a 95% confidence interval for p1 - p2.
2. Does the interval support the results determined in the previous problem? Explain

A student was asked to find a 90% confidence interval for the proportion of students who take notes using data from a random sample of size n = 78. Which of the following is a correct interpretation of the interval 0.12 < p < 0.25?

Check all that are correct.

• With 90% confidence, a randomly selected student takes notes in a proportion of their classes that is between 0.12 and 0.25.
• There is a 90% chance that the proportion of notetakers in a sample of 78 students will be between 0.12 and 0.25.
• The proprtion of all students who take notes is between 0.12 and 0.25, 90% of the time.
• There is a 90% chance that the proportion of the population is between 0.12 and 0.25.
• With 90% confidence, the proportion of all students who take notes is between 0.12 and 0.25.

In the upcoming election the most recent poll, based on 750 respondents, predicts that the incumbent will be reelected with 62 percent of the votes. From the 750 respondents, how many indicated that they would not vote for the current Student Body President or indicated that they were undecided?

In a research study investigated differences between male and female students. Based on the study results, we can assume the population mean and standard deviation for the GPA of male students are μ = 4.0 and σ = .75. Suppose a random sample of 100 male students is selected and the GPA for each student is calculated. Find the interval that contains 95.44 percent of the sample means for male students. μ = Population Mean σ =Population Standard Deviation [2.5, 5.5]

A study claim that students in two-year college work on average of 20 hours a week. A teacher wanted to test this claim. She took a sample of 12 students and asked them about the number of hours they work per week. The following are their responses:

14 25 22 8 16 26 19 23 41 33 21 20

Assume that the number of hours worked by all two-year college students is normally distributed.

a.Calculate the (approximate) value of the 85th percentile

b. Find the percentile rank of 20.

c. Find the sample mean and sample standard deviation of these 12 students.

d. Using a 0.05 significance level, can you conclude that the claim of the study is true?

In a statistics class, 8 students took their pulses before and after an exam. The pulse rates (beats per minute) of the students before and after the exam were obtained separately and are shown in the table. Treat this as though it were a random sample of statistics students. Test the hypothesis that the mean of statistics students' pulse rates is higher after an exam using a significance level of 0.05. Do the 5-step hypothesis test and submit an image of your work.

In 2018, as a way of commemorating the 10-year anniversary of the release of the first smartphone, an undergraduate student polled a random sample of 26 her peers in hopes of estimating the average time (in hours) such students spend on their smartphone each day, on average. Using the data she collected, she produced a 95% confidence interval for the true mean time college students spend on their phone each day: (5.035, 6.165)

1. What was the margin of error of this confidence interval?

2. What was the sample mean time (in hours) for the n = 26 students?

3. What was the sample standard deviation (in hours) for the n = 26 students? Submit your answer rounded to four decimals.

Show work please and thank you.

4. In a recent study, approximately 42.5% of college students had student loans. A researcher was interested in determining if the proportion of students that took out student loans differed by the field in which they were studying in. The following data below was collected on 865 college students in seven different fields of study. Test at α = 0.05 to determine if there are significant differences in the proportions of students that take out student loans for each of the fields.

A new school district superintendent preparing to reallocate resources for physically impaired students wanted to know if the schools in the district differed in the distribution of physically impaired. The superintendent tested samples of 20 students from each of the five schools and found 5 physically impaired (and 15 unimpaired) students at School 1, 5 physically impaired (and 15 unimpaired) at School 2, 6 (and 14) at School 3, 4 (and 16) at School 4, and 7 (and 13) at School 5. Using the .05 significance level, test whether the distribution of physically impaired students is different at different schools. Figure the chi-square for this data set yourself (round to two decimal places). What is the chi-square obtained?

A random sample of 100 students at a high school was asked whether they would ask their father or mother for help with a homework assignment in science. A second sample of 100 different students was asked the same question in history. If 46 students in the first sample and 47 students in the second sample replied that they turned to their mother rather than their father for help, test the claim whether the difference between the proportions is due to chance. Use α = 0.02. Identify the claim, state the null and alternative hypotheses, find the critical value, find the standardized test statistic, make a decision on the null hypothesis (you may use a P-Value instead of the standardized test statistic), write an interpretation statement on the decision.

Two teaching methods and their effects on science test scores are being reviewed. A random sample of 11 students, taught in traditional lab sessions, had a mean test score of 78.1 with a standard deviation of 3 . A random sample of 19 students, taught using interactive simulation software, had a mean test score of 84.1 with a standard deviation of 5.9 . Do these results support the claim that the mean science test score is lower for students taught in traditional lab sessions than it is for students taught using interactive simulation software? Let μ1 be the mean test score for the students taught in traditional lab sessions and μ2 be the mean test score for students taught using interactive simulation software. Use a significance level of α=0.05 for the test. Assume that the population variances are equal and that the two populations are normally distributed.

Step 1 of 4:

State the null and alternative hypotheses for the test.

Step 2 of 4:

Compute the value of the t test statistic. Round your answer to three decimal places.

Step 3 of 4:

Determine the decision rule for rejecting the null hypothesis H0. Round your answer to three decimal places.

Step 4 of 4:

State the test's conclusion.