Conduct a test at the a = 0.05 level of significance by determining (a) the null and alternative hypotheses, (b) the test statistic, and (c) the P-value. Assume the samples were obtained independently from a large population using simple randomsampling.Test whether p, >P2. The sample data are x, = 120, n, = 254, x, = 140, and n, = 305. (a) Choose the correct null and alternative hypotheses below.A. Ho: P1 = P2 versus H, : p, #P2B. Ho: P, = P2 versus H,: P1 P2D. Ho: P, =0 versus H,: p, #0(b) Determine the test statistic.Zo = 2 (Round to two decimal places as needed.)(c) Determine the P-value.The P-value is o012(Round to three decimal places as needed.)What is the result of this hypothesis test?A. Do not reject the alternative hypothesis because there is sufficient evidence to conclude that p, # p2.B. Do not reject the null hypothesis because there is not sufficient evidence to conclude that p, P2.D. Reject the null hypothesis because there is sufficient evidence to conclude that p,

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Answered: Conduct a test at the a = 0.05 level of…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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A physician wants to test two blood glucose meters to see if there is any differences in measurements. To do this, he measures the glucose in blood samples taken from several randomly selected patients with both meters. Identify the null and alternative hypotheses for a hypothesis test, where each difference is calculated by subtracting the measurement on the second meter from the measurement on the first meter. A. H0:μd=0 Ha:μd>0 B. H0:μd=0 Ha:μd≠0 C. H0:μd=0 Ha:μd<0 D. H0:μd≠0 Ha:μd=0
A researcher who wants to know whether the proportion of male births in a hospital is different from the established baseline of 51.07%, would like to test the following hypotheses: Ho:P = 0.51 vs. Ha :P = does not equal 0.51 a) Is the alternative hypothesis upper tail, lower tail, or two tailed? b) What do you conclude if the test results p-value of 0.03 at alpha value = 5% c) What do you conclude if the test results p-value of 0.08 at alpha value = 10%
An automobile manufacturer claims that the average gas mileage of a new model is 35 miles per gallon (mpg). A consumer group is skeptical of this claim and thinks the manufacturer may be overstating the average gas mileage. If µ represents the true average gas mileage for this new model, which of the following gives the null and alternative hypotheses that the consumer group should test?
1. For a and b, conduct every step of the Hypothesis testing process (1-5). The distribution of SAT scores is normal with M = 500, with a standard deviation alpha = 100. Mable believes that she scored significantly higher than average, at x = 643. Did Mable scores significantly higher than the average SAT score? A sample of n = 30 adults is taken from the above population and their average SAT score is measured to be M = 507. Does this sample differ from the population?
The worldwide market share for a web browser was 20.1% in a recent month. Suppose that a sample of 200 random students at a certain university finds that 50 use the browser. At the 0.01 level of significance, is there evidence that the market share for the web browser at the university is greater than the worldwide market share of 20.1%? Determine the null and alternative hypotheses. A.H0: P≥0.201; H1: P<0.201 B.H0: P=0.201; H1: P≠0.201 C. H0: P≠0.201; H1: P=0.201 D. H0: P≤0.201; H1: P>0.201 ZStat=__ (Round to two decimal places) p-value=____ __A__ the null hypothesis. There is __B__ evidence to conclude that the market share at teh university is __C__ the worldwide market share of 20.1%. A: Reject or do not reject B: insufficient or sufficient C: at least, less than, equal to, at most, not equal to, greater than
When is a researcher at risk of making a Type II error? a. whenever H0 is rejected b. whenever H1 is rejected c. whenever H0 fails to be rejected d. The risk of a Type II error is independent of the decision from a hypothesis test.
(a) Find the P - value for the test statistic z=1.36 for the following null and alternative hypotheses:
Question 16 The p-value for a hypothesis test turns out to be 0.08969. At a 9% level of significance, what is the proper decision? Reject H0H0 Fail to reject H0
Step 1 of 3 : State the null and alternative hypotheses for the test. Fill in the blank below. H0: μd=0 Ha: μd⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯0 Step 2: What is the test statistic? Step 3: Do we reject the null hypothesis? Is there sufficient or insufficient data?
A manufacturer of hand-held calculators receives large shipments of printed circuits from a supplier. It is too costly and time-consuming to inspect all incoming circuits, so when each shipment arrives, a sample is selected for inspection. Information from the sample is then used to test H0: p = 0.01 versus Ha: p > 0.01, where p is the actual proportion of defective circuits in the shipment. If the null hypothesis is not rejected, the shipment is accepted, and the circuits are used in the production of calculators. If the null hypothesis is rejected, the entire shipment is returned to the supplier because of inferior quality. (A shipment is defined to be of inferior quality if it contains more than 1% defective circuits.) In this context, define Type I and Type II errors. (Select all that apply.) a. A Type I error is obtaining convincing evidence that more than 1% of a shipment is defective when in fact (at most) 1% of the shipment is defective. b. A Type I error is not…
The effectiveness of a new bug repellent is tested on 14 subjects for a 10 hour period. (Assume normally distributed population.) Based on the number and location of the bug bites, the percentage of surface area exposed protected from bites was calculated for each of the subjects. The results were as follows: x¯=93, ?=6 The new repellent is considered effective if it provides a percent repellency of at least 9090. Using ?=0.01, construct a hypothesis test with null hypothesis ?=90 and alternate hypothesis ?>90 to determine whether the mean repellency of the new bug repellent is greater than 9090 by computing the following: (a) the degrees of freedom (b) the test statistic
A company selling home furnaces claims that installingtheir new high efficiency furnace will “cut your heating bill in half.” A consumer agency collects data for a ran-dom sample of homes and plots this year’s heating costs with the new furnaces against previous costs with the oldfurnaces. Which are the most appropriate hypotheses totest the company’s claim?A) H0: b = 0, HA: b ≠ 0B) H0: b = 0, HA: b 7 0C) H0: b = 0, HA: b 6 0D) H0: b = 0, HA: b 6 0.5E) H0: b = 0.5, HA: b ≠ 0.5

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