Question

A student wonders if people from small towns are friendlier than the general population. To test...

A student wonders if people from small towns are friendlier than the general population. To test this hypothesis he gives 100 people a friendliness survey. The population mean for this survey is 50 with a standard deviation of 12. The mean for his sample is 52.5. Compute a z for a sample mean to determine if his hypothesis was supported. Use α = .05, one tailed. Which of the following statements describes a Type I error in the context of this study?

a) concluding that people in small towns are friendlier than the general population when they are not friendlier

b) concluding that people in small towns are not friendlier than the general population when they are not friendlier

c) concluding that people in small towns are friendlier than the general population when they are friendlier

d) concluding that people in small towns are not friendlier than the general population when they are friendlier

Homework Answers

Answer #1

here null hypothesis :

H0 : People from small towns are friendlier than the general population

z = (52.5-50) / (12 / (500.5) ) = 1.473

z critical value (α = .05) = 1.645

1.473 < 1.645

therefore the hypothesis is supported

A Type 1 error occurs when the null hypothesis is true, but we reject it because of an usual sample result.

by this definition of type 1 error the type 1 error is described as :

d) concluding that people in small towns are not friendlier than the general population when they are friendlier

P.S. (please upvote if you find the answer satisfactory)

Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
1a. A student wonders if people from small towns are friendlier than the general population. To...
1a. A student wonders if people from small towns are friendlier than the general population. To test this hypothesis he gives 100 people a friendliness survey. The population mean for this survey is 50 with a standard deviation of 12. The mean for his sample is 52.5. Compute a z for a sample mean to determine if his hypothesis was supported. Use α = .05, one tailed. Compute the effect size for this study. a. .03 b. .21 c. 1.2...
A student wonders if people from small towns are friendlier than the general population. To test...
A student wonders if people from small towns are friendlier than the general population. To test this hypothesis he gives 100 people a friendliness survey. The population mean for this survey is 50 with a standard deviation of 12. The mean for his sample is 52.5. Compute a z for a sample mean to determine if his hypothesis was supported. Use α = .05, one tailed. 1) Compute the effect size for this study. 2) Describe the size of the...
.A sample of 30 student athletes were selected from of a student population with an average...
.A sample of 30 student athletes were selected from of a student population with an average score of 78 on trait level aggression. After a short survey, the student athlete sample scored M = 90 with s = 7. Find the appropriate statistic and compare to the critical value. Assume a one-tailed test with α = .01. State the whether to reject or fail to reject the null hypothesis. Bonus: Why would the researcher choose the above assumptions?
According to most estimates, 10% of the people in the general population are left-handed and 90%...
According to most estimates, 10% of the people in the general population are left-handed and 90% are right-handed. A neurological theory of handedness and cerebral dominance predicts that there should be a disproportionate number of left-handers among artists. For a sample of n = 150 artists, a psychologist finds that 24 are left-handed. Is there a higher proportion of left-handers among artist than there is for the general population? Test with alpha set at .05. For full points indicate in...
Some researchers claim that herbal supplements improve human memory. To test this claim, a researcher selects...
Some researchers claim that herbal supplements improve human memory. To test this claim, a researcher selects a sample of n = 25 college students. Each student is given herbal supplements daily for 6 weeks and then all the participants are given a standardized memory test. For the population, scores on the tests are normally distributed with µ = 70 and σ= 20. The sample of n = 25 students had a mean score of M = 80. Can we conclude...
A certain IQ test is known to have a population mean of 100 and standard deviation...
A certain IQ test is known to have a population mean of 100 and standard deviation of 15 in the general population. You want to test whether psychology majors have a different average IQ than the population as a whole. Assume the variance of IQ is the same for Psych majors as it is in the general population. Suppose that Psychology majors actually have an average IQ of 108. If you do a 2-tailed test at α= .05 with a...
Intelligence of the general population has a mean of µ = 100 and a standard deviation...
Intelligence of the general population has a mean of µ = 100 and a standard deviation of σ = 15. A researcher wonders if people who exercise more than 30 min each day have an average mean IQ different from 100. He randomly selects n = 81 people and enrolls them in an exercise program for six months. After, he has each individual take an IQ test and finds the average IQ of the sample is M = 102. a)...
Do people who diet score higher than people in general on a measure of health? For...
Do people who diet score higher than people in general on a measure of health? For people in general, the avg on this test is 70 with a SD of 12. The distribution is normal. A researcher tested a sample of 36 people who diet & found them to have a mean score of 82. Use the .05 significance level for this question. A. Complete the 5 steps of hypothesis testing for this problem B. Write a conclusion for this...
A sample of 37 observations is selected from a normal population. The sample mean is 25,...
A sample of 37 observations is selected from a normal population. The sample mean is 25, and the population standard deviation is 5. Conduct the following test of hypothesis using the .05 significance level. H0 : μ ≤ 24 H1 : μ > 24 (a) Is this a one- or two-tailed test? "One-tailed"-the alternate hypothesis is greater than direction. "Two-tailed"-the alternate hypothesis is different from direction. (b) What is the decision rule? (Round your answer to 2 decimal places.) H0,when...
A researcher suspected that age is related to depression. It is known that the general population...
A researcher suspected that age is related to depression. It is known that the general population average μ=40 on a standard depression test. The researcher obtained a sample of individuals who are more than 75 years old. The depression score of this sample are as follows: 48, 38, 42, 48, 39, 47, 41, 42, 42. On the basis of this sample, is depression for elderly people significantly different from depression in the general population at α=0.05 level? 1) State the...
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT