Take this quiz as you would take a quiz in class. After you are done, check your work against the answers given in the hack of the hook.
In each exercise,
- (a) identify the claim and state H0 and Ha,
- (b) find the critical value and identify the rejection region,
- (c) find the test statistic,
- (d) decide whether to reject or fail to reject the null hypothesis, and
- (e) interpret the decision in the context of the original claim.
In Exercises 3 and 4, use the data, which list the annual wages (in thousands of dollars) for randomly selected individuals from three metropolitan areas. Assume the wages are
Ithaca. NY: 44.2, 51.5, 25.8, 28.3, 37.8, 38.0, 32.6, 41.8, 42.0, 40.6, 26.2, 27.9, 48.3
Little Rock. AR: 45.1, 38.1, 47.8, 34.4, 39.6, 47.1, 29.6, 54.8, 34.4, 40.3, 40.1, 41.7, 40.9, 38.9, 25.9
Madison, WI: 50.3, 41.8, 55.5, 40.8, 55.6, 38.6, 50.0, 46.8, 49.0, 52.9, 48.3, 47.5, 39.2, 32.7, 54.1
3. At α = 0.01, is there enough evidence to conclude that the variances of the annual wages for Ithaca, NY, and Little Rock, AR, are different?
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Elementary Statistics: Picturing the World (7th Edition)
- You complete a hypothesis test using alpha = .05, and based on the evidence from the sample, your decision is to reject the null hypothesis. If the treatment actually does have an effect, which of the following is true? a) You have made a Type I error b) You have made a Type II error c) You might have made a Type I error, but the probability is only 5% at most d) You have made the correct decisionarrow_forward(a) Identify the claim and state H0 and Ha.What is the claim? Let Region A be sample 1 and let Region B be sample 2. Identify H0 and Ha. (b) Find the critical value(s) and identify the rejection region. What is the rejection region? (c) Find the standardized test statistic z. (d) Decide whether to reject or fail to reject the null hypothesis and interpret the decision in the context of the original claim.arrow_forwardThe rate of allergies in children was 15% in 2002. A medical researcher is curious whether advances in medicine have reduced this proportion and decides to conduct a hypothesis test. In a random sample of 500 children, he finds that 65 of them have allergies. Conduct an appropriate hypothesis test in questions #17 - #20. Using the Z-score from the previous question and the Z-table, find the P-Value for this hypothesis test. 0.1190 0.1056 0.0250 0.0594arrow_forward
- Glencoe Algebra 1, Student Edition, 9780079039897...AlgebraISBN:9780079039897Author:CarterPublisher:McGraw Hill