4.
The claim is that the mean is less than $10. We will treat claim as
the alternative hypothesis.
The null hypothesis is opposite of alternative hypothesis which
is
c) The mean is equal to $10
5.
P-value is the evidence that supports the alternative
and the probability of getting the sample that we found , given H0
is true.
d) I and III
If a researcher believed that the average young adult (under age 30) carries less than $10...
It is believed that the mean population age in an area is 18.9. An investigator took a sample of 200 people and found a sample mean age of 21 with a sample standard deviation (σ) of 5. Test the hypothesis that the population mean is 18.9 at an alpha level of 0.05. a) State the null hypothesis and the alternative hypothesis. b) State the test that should be used to test this hypothesis? c) Compute the appropriate test...
(20) 9. It is believed that 20% or more of the student population of ABC College is over age 25. Suppose 98 students were randomly surveyed to see if less than 20% of the population are over age 25. A. What is the null hypothesis using symbols? What is the null hypothesis using words? B. What is the alternate hypothesis using symbols? What is the alternate hypothesis using words? C. What type of error happens (if any) if the researcher...
A sporting goods store believes the average age of its customers is 34 or less, but a competitor wants to challenge this. A random sample of 38 customers was surveyed, and the average customer age was found to be 37.5 years. Assume the standard deviation for customer age is 7.0 years. Using a = 0.05, complete parts a through d below a. Does the sample provide enough evidence to refute the age claim made by the sporting goods store? Determine...
A hypothesis test is conducted to test the null hypothesis that the mean is less than 12. Use a 0.01 level of significance. What type of test is this? Right tail Two tail Left tail What is the critical value? 2.33 -2.33 1.78 correct answer is not given Suppose the test statistic was -2.50 What is the conclusion? Fail to reject Ho. There is not sufficent evidence to support the claim that the mean is less than 12. Reject Ho....
According to a nation wide survey, only 30% of adult Americans had a will. A researcher in Utah suspects that the proportion of adults in Utah with wills is less than the national proportion. Suppose this researcher takes a survey of 1000 adult Utah residents and finds that 277 report having wills. (round your answers to four decimal places) part b: Calculate and report the value of the test statistic. part c: Calculate and report the p-value and then use...
An interval of numbers within which the parameter value is believed to fall. A number such that we reject Ho if the p-value is less than or equal to that number. The numerical value obtained from a statistical test. A statistical statement that says a difference between the parameter and a specific value exists or states that there is a difference between two parameters. The error that occurs if you reject the null hypothesis when it is true. 10. The...
cording to a survey, the average young adult male plays video games for 4 hours per week. To test fthe amount of video male plays video games for 4 hours per week. To test if the amount of video est, at a 5% significance level. She surveys 28 male college students randomly and asks them about their amount of video games each week on average. games in college is more than the national average, a researcher decides to do a...
A researcher wants to test if the elementary school children spend less than 30 minutes per day on homework. Suppose we make the test at the 1% significance level. A sample of 61 children selected from this school shows that they spend an average of 28 minutes per day on home work with a standard deviation of 4 minutes. a.) Write the claim using an appropriate math expression b.) Define the Null and Alternate Hypotheses c.) Find the p-value d.)...
A researcher studying stress is interested in the blood pressure measurements of chief executive officers (CEOs) of major corporations. He believes that the mean systolic blood pressure, H. of CEOs of major corporations is less than 132 mm Hg, which is the value reported in a possibly outdated journal article. He plans to perform a statistical test and measures the systolic blood pressures of a random sample of 50 CEOs of major corporations. Suppose that the population of systolic blood...
In a 1868 paper, German physician Carl Wunderlich reported based on over a million body temperature readings that the mean body temperature for healthy adults is 98.6° F. However, it is now commonly believed that the mean body temperature of a healthy adult is less than what was reported in that paper. To test this hypothesis a researcher measures the following body temperatures from a random sample of healthy adults. 98.2, 98.6, 98.6, 98.5, 97.6, 98.2 (a) Find the value...