Understandable Statistics: Concepts and Methods
12th Edition
ISBN: 9781337119917
Author: Charles Henry Brase, Corrinne Pellillo Brase
Publisher: Cengage Learning
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Chapter 10.3, Problem 4P
For Problems 3–11, please provide the following information.
- (a) What is the level of significance? State the null and alternate hypotheses.
- (b) Find the value of the chi-square statistic for the sample. What are the degrees of freedom? What assumptions are you making about the original distribution?
- (c) Find or estimate the P-value of the sample test statistic.
- (d) Based on your answers in parts (a) to (c), will you reject or fail to reject the null hypothesis of independence?
- (e) Interpret your conclusion in the context of the application.
- (f) Find the requested confidence interval for the population variance or population standard deviation. Interpret the results in the context of the application.
In each of the following problems, assume a
Sociology: Marriage The following problem is based on information from an article by N. Keyfitz in the American Journal of Sociology (Vol. 53, pp. 470–480). Let x 5 age in years of a rural Quebec woman at the time of her first marriage. In the year 1941, the population variance of x was approximately σ2 = 5.1. Suppose a recent study of age at first marriage for a random sample of 41 women in rural Quebec gave a sample variance s2 = 3.3. Use a 5% level of significance to test the claim that the current variance is less than 5.1. Find a 90% confidence interval for the population variance.
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Question 1
For the following scenarios provide the following:
• the null and alternative hypotheses
• explain whether the hypothesis test is left-tailed, right-tailed, or two-tailed,
• explain how you should interpret a decision that rejects the null hypothesis, and
• explain how you should interpret a decision that fails to reject the null hypothesis.
a. A meal supplement provider claims that the average difference in calories between two
brands is 55.
Questions 6–10 refer to the sample data in the following table, which describes the fate of the passengers and crew aboard the Titanic when it sank on April 15, 1912. Assume that the data are a sample from a large population and we want to use a 0.05 significance level to test the claim that surviving is independent of whether the person is a man, woman, boy, or girl.
Given that the P -value for the hypothesis test is 0.000 when rounded to three decimal places, what do you conclude? What do the results indicate about the rule that women and children should be the first to be saved?
Chapter 10 Solutions
Understandable Statistics: Concepts and Methods
Ch. 10.1 - Statistical Literacy In general, are chi-square...Ch. 10.1 - Statistical Literacy For chi-square distributions,...Ch. 10.1 - Prob. 3PCh. 10.1 - Prob. 4PCh. 10.1 - Prob. 5PCh. 10.1 - Prob. 6PCh. 10.1 - Prob. 7PCh. 10.1 - Interpretation: Test of Independence Consider...Ch. 10.1 - Prob. 9PCh. 10.1 - For Problems 919, please provide the following...
Ch. 10.1 - Prob. 11PCh. 10.1 - For Problems 919, please provide the following...Ch. 10.1 - Prob. 13PCh. 10.1 - Prob. 14PCh. 10.1 - Prob. 15PCh. 10.1 - Prob. 16PCh. 10.1 - Prob. 17PCh. 10.1 - For Problems 919, please provide the following...Ch. 10.1 - Prob. 19PCh. 10.2 - Statistical Literacy For a chi-square...Ch. 10.2 - Prob. 2PCh. 10.2 - Statistical Literacy Explain why goodness-of-fit...Ch. 10.2 - Prob. 4PCh. 10.2 - For Problems 516, please provide the following...Ch. 10.2 - For Problems 516, please provide the following...Ch. 10.2 - Prob. 7PCh. 10.2 - For Problems 516, please provide the following...Ch. 10.2 - For Problems 516, please provide the following...Ch. 10.2 - For Problems 516, please provide the following...Ch. 10.2 - For Problems 516, please provide the following...Ch. 10.2 - For Problems 516, please provide the following...Ch. 10.2 - For Problems 516, please provide the following...Ch. 10.2 - Prob. 14PCh. 10.2 - Prob. 15PCh. 10.2 - Prob. 16PCh. 10.2 - Prob. 17PCh. 10.2 - Prob. 18PCh. 10.3 - Statistical Literacy Does the x distribution need...Ch. 10.3 - Critical Thinking The x distribution must be...Ch. 10.3 - Prob. 3PCh. 10.3 - For Problems 311, please provide the following...Ch. 10.3 - For Problems 311, please provide the following...Ch. 10.3 - For Problems 311, please provide the following...Ch. 10.3 - For Problems 311, please provide the following...Ch. 10.3 - For Problems 311, please provide the following...Ch. 10.3 - For Problems 311, please provide the following...Ch. 10.3 - For Problems 311, please provide the following...Ch. 10.3 - Prob. 11PCh. 10.4 - Prob. 1PCh. 10.4 - Statistical Literacy When using the F distribution...Ch. 10.4 - Prob. 3PCh. 10.4 - Prob. 4PCh. 10.4 - Prob. 5PCh. 10.4 - Prob. 6PCh. 10.4 - Prob. 7PCh. 10.4 - Prob. 8PCh. 10.4 - Prob. 9PCh. 10.4 - For Problems 512, please provide the following...Ch. 10.4 - Prob. 11PCh. 10.4 - Prob. 12PCh. 10.5 - In each problem, assume that the distributions are...Ch. 10.5 - Prob. 2PCh. 10.5 - Prob. 3PCh. 10.5 - Prob. 4PCh. 10.5 - Prob. 5PCh. 10.5 - Prob. 6PCh. 10.5 - Prob. 7PCh. 10.5 - Prob. 8PCh. 10.5 - Prob. 9PCh. 10.6 - Prob. 1PCh. 10.6 - Prob. 2PCh. 10.6 - Prob. 3PCh. 10.6 - Prob. 4PCh. 10.6 - Prob. 5PCh. 10.6 - Prob. 6PCh. 10.6 - Prob. 7PCh. 10 - Prob. 1CRPCh. 10 - Prob. 2CRPCh. 10 - Prob. 3CRPCh. 10 - Prob. 4CRPCh. 10 - Prob. 5CRPCh. 10 - Before you solve Problems 514, first classify the...Ch. 10 - Prob. 7CRPCh. 10 - Prob. 8CRPCh. 10 - Prob. 9CRPCh. 10 - Prob. 10CRPCh. 10 - Prob. 11CRPCh. 10 - Prob. 12CRPCh. 10 - Prob. 13CRPCh. 10 - Prob. 14CRPCh. 10 - Prob. 1DHCh. 10 - Prob. 1LCCh. 10 - Prob. 2LCCh. 10 - Prob. 1UTCh. 10 - Prob. 2UTCh. 10 - Prob. 3UT
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Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, statistics and related others by exploring similar questions and additional content below.Similar questions
- Questions 6–10 refer to the sample data in the following table, which describes the fate of the passengers and crew aboard the Titanic when it sank on April 15, 1912. Assume that the data are a sample from a large population and we want to use a 0.05 significance level to test the claim that surviving is independent of whether the person is a man, woman, boy, or girl. Identify the null and alternative hypotheses corresponding to the stated claim.arrow_forwardAnswer the Following Questions for no. 1 and show your clear solutions: A. Getting statistic from a parameter of 800, sampling error of 1% and largest possible proportion of 50%. What is the sample size? B. What is the target sample size for a population of 4,500 people with a standard value of 1.75 and a sampling error of 15%?arrow_forwardPlease answer the following Questions. Part 1.1. A statistical test measures the experimental strength of evidence against the ____ hypothesis. Part 1.2. Type I error is when you end up rejecting the null hypothesis as a result of the statistical testing, when in fact the null hypothesis is actually ____."arrow_forward
- For the following pairs of assertions, indicate which do not comply with our rules for setting up hypotheses and why (the subscripts 1 and 2 differentiate between quantities for two different populations or samples):arrow_forwardIf your question is that your significant hypothesis test is significant “enough” to have true meaning, what are some other things you can look at to determine practical significance?arrow_forwardFor problem 1, perform the hypothesis test. 1) Bob grows pumpkins. He claims that the average weight of his pumpkins is greater than 5.6 lbs. Test his claim if a simple random sample was collected when: the mean of the x scores = 5.9, standard deviation = .3 lb, and the sample size = 81.arrow_forward
- Need answers for these questions . Using the Chi-square statistical tablearrow_forwardFor each of the following situations, state whether you would use a chi-square goodness-of-fit test, a chi-square test of homogeneity, a chi-square test of independence, or some other statistical test. Complete parts a) through c) below. a) Is the quality of a car affected by what day it was built? A car manufacturer examines a random sample of the warranty claims filed over the past two years to test whether defects are randomly distributed across days of the work week. Choose the correct answer below. A. Chi-square test of independence. You have data on two variables, day and quality, for one manufacturer. B. Chi-square goodness-of-fit test. You want to see if the distribution of defects is uniform over the variable day. C. Chi-square test of homogeneity. You have two samples and one variable, day. You want to see if the distribution of quality is the same in the two years. D. Some other statistical test. The variable day is…arrow_forwardWe want to compare cholesterol levels between men and women, so we collect a sample of 20 women and 30 men. The group of men in our sample have a mean of 240.0 with standard deviation 35.0, and the women have a mean of 210.0 with standard deviation 30.0. What is the null hypothesis? Note that two-sample problems (like this one) were not discussed in class, but you should know the answer (or at least be able to provide a good guess below) based on what was covered in class. Group of answer choices The mean cholesterol level in men is equal to the mean cholesterol level in women The mean cholesterol level in men is different than the mean cholesterol level in women The mean cholesterol level in men is less than the mean cholesterol level in women The mean cholesterol level in men is less than the mean cholesterol level in womenarrow_forward
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