A researcher wants to see if she can confidently claim that over 20% of students are...

A researcher wants to see if she can confidently claim that over 20% of students are transfering. she will randomly sample 600 students. She decides to reject H0 if if p^ > 0.2335 where Ha: p > 0.20

a) For the test she set up, find the probabilty of making a type II error if the true population proportion is 17%.

b) For the test she set up, find the probability of making an error of the appropriate type if the true population proportion is 18%.

c) For the test she set up, find the probabilty of making a correct inference if the true population proportion is 21%.

d) What is the significance level she used to set ip the test?

e) The researcher found that 22.5% of the sample plan to transfer. What can she conclude at the significance level you found in part d?

Expert Solution

orchestra answered 2 years ago

d) A researcher wants to see if she can confidently claim that over 20% of students...

d) A researcher wants to see if she can confidently claim that over 20% of students plan to transfer to Sac State. She will randomly sample 600 students. She decides to reject Ho if p>0.2335 where Ha: p>0.20. A) for the test she set up, find the probability of making a type II error if the true population proportion is 17%.What is the significance level she used to set up the test? B)For the test she set up, find the...

Problem 5: A researcher wants to see if she can confidently claim that over 20% of...

Problem 5: A researcher wants to see if she can confidently claim that over 20% of YC students plan to transfer to Sac State. She will randomly sample 600 students. She decides to reject H0 if p^ 0.233 where Ha : p> 0.20 . a) For the test she set up, find the probability of making a type II error if the true population proportion is 17%. b) For the test she set up, find the probability of making an...

A researcher wants to support the claim that students spend less than 7 hours per week...

A researcher wants to support the claim that students spend less than 7 hours per week doing homework. The sample size for the test is 64 students. The drawing shown diagrams a hypothesis test for population mean under the Null Hypothesis (top drawing) and under the Alternative Hypothesis (bottom drawing). State the Null and Alternative Hypotheses. Ha : Ho : What is the design probability associated with Type I error? What is the design probability associated with Type II error?...

HW 20 A researcher wants to know if students are more successful in taking online courses...

HW 20 A researcher wants to know if students are more successful in taking online courses now as compared to 2016. In 2016, 44% of students taking an online class passed the class. She collects data from 125 online students, and finds that 58 of them passed their classes . Test her claim that the percentage of successful completion has increased since 2016. *What is the null hypothesis? [ Select ] ...

1. There are instances in which a marketing researcher wants to see if there is a...

1. There are instances in which a marketing researcher wants to see if there is a relationship between the responses to one question and the responses to another question in the same survey. Identify the four types of possible relationships. Discuss how they are differentiated.

A researcher is interested in how music can impact exercise. She wants to know if different...

A researcher is interested in how music can impact exercise. She wants to know if different types of music affect how many pushups a group of adolescents can do. She randomly assigns 20 adolescents to one of three groups: control (Other usual sounds you would hear at a gym), pop music, or hip-hop. Participants listen to their respective tracks starting 2 minutes before an assistant waves their arm to begin. The research assistant counts the number of pushups each participant...

A researcher wants to test the claim that the mean weight of sugar in cola drinks...

A researcher wants to test the claim that the mean weight of sugar in cola drinks is more today than it was in the past. They tested 49 cans of soda produced last year and found they had a mean weight of sugar of 13.5 g with a standard deviation of 1.2 grams. They also tested 25 cans produced 30 years ago and found they had a mean weight of sugar of 10.1 grams with a standard deviation of 1.6...

A researcher wants to conduct a test for homogeneity to see if male and female cancer...

A researcher wants to conduct a test for homogeneity to see if male and female cancer patients behave similarly with respect to the types of treatments they select. Use the following data and chooses a 0.10 level of significance. State the null and alternative hypothesis, find test statistic and p-value Male female 76 64 51 62 39 33 10 16

A researcher wants to test the claim that the proportion of men who watch television regularly...

A researcher wants to test the claim that the proportion of men who watch television regularly is greater than the proportion of women who watch television regularly. She finds that 56 of 70 randomly selected men and 47 of 85 randomly selected women report watching television regularly. A 95% confidence interval for the difference in population proportions is (0.10581, 0.38831). Which of the statements gives the correct outcome of the researcher's test of the claim? Because the confidence interval is...

A statistics teacher wants to see if there is any difference in the abilities of students...

A statistics teacher wants to see if there is any difference in the abilities of students enrolled in statistics today and those enrolled five years ago. A sample of final examination scores from students enrolled today and from students enrolled five years ago was taken. You are given the following information. Today (Population 1) Five Years Ago (Population 2) Sample Mean 84 89 Sample Variance 112.5 54 Sample Size 45 36 The 92.50% confidence interval for the difference between the...

Question