(a) Test the researcher’s claim at 4% level of significance.(b) Find the p-value for the test in (a).(c) What is the assumption needed for the test in (a)? A researcher is testing the effects of plant food on plant growth. Nine plants have beengiven the plant food and another nine plants have not been given the plant food. Afterthe period of eight weeks, the sample mean height of plants that given the plant foodand not given the plant food is 16 and 14 inches respectively. Based on the past researchresult, the standard deviation of the height of plants that given the plant food and notgiven the plant food is known to be 2.5 and 1.5 inches respectively. The researcherthinks the food makes the plants grow taller.(a) Test the researcher's claim at 4% level of significance.(b) Find the p-value for the test in (a).(c) What is the assumption needed for the test in (a)?

Let be the mean height of plants with plant food and be the mean height of plants without plant…

Answered: A researcher is testing the effects 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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In a fishing lodge brochure, the lodge advertises that 75% of its guests catch northern pike over 20 pounds. Suppose that last summer 71 out of a random sample of 86 guests did, in fact, catch northern pike weighing over 20 pounds. Does this indicate that the population proportion of guests who catch pike over 20 pounds is different from 75% (either higher or lower)? Use ? = 0.05. (a) What is the level of significance? State the null and alternate hypotheses. H0: p = 0.75; H1: p > 0.75H0: p ≠ 0.75; H1: p = 0.75 H0: p < 0.75; H1: p = 0.75H0: p = 0.75; H1: p ≠ 0.75H0: p = 0.75; H1: p < 0.75 (b) What sampling distribution will you use? The Student's t, since np > 5 and nq > 5.The standard normal, since np > 5 and nq > 5. The Student's t, since np < 5 and nq < 5.The standard normal, since np < 5 and nq < 5. What is the value of the sample test statistic? (Round your answer to two decimal places.) (c) Find the P-value of the test…
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Would you favor spending more federal tax money on the arts? Of a random sample of n1 = 204 women, r1 = 70 responded yes. Another random sample of n2 = 178 men showed that r2 = 48 responded yes. Does this information indicate a difference (either way) between the population proportion of women and the population proportion of men who favor spending more federal tax dollars on the arts? Use ? = 0.05. (a) What is the level of significance?State the null and alternate hypotheses. H0: p1 = p2; H1: p1 > p2H0: p1 = p2; H1: p1 < p2 H0: p1 = p2; H1: p1 ≠ p2H0: p1 < p2; H1: p1 = p2 (b) What sampling distribution will you use? What assumptions are you making? The standard normal. We assume the population distributions are approximately normal.The Student's t. The number of trials is sufficiently large. The standard normal. The number of trials is sufficiently large.The Student's t. We assume the population distributions are approximately normal. What is the value of the sample…
Imagine you are doing a Related-Samples t-test, and you are on Step Four of the hypothesis test. The study you are doing is testing whether there’s a significant difference between the anxiety of people before and after a final exam. The APA sentence is t(28) = 3.45, p < .05, d = 1.05. What is the correct set of conclusions that goes with this APA sentence? Group of answer choices Reject the H0, conclude that there IS a difference in anxiety, conclude based on effect size that the difference is small. Fail to Reject the H0, conclude that there IS a difference in anxiety. Reject the H0, conclude that there IS NOT a difference in anxiety, conclude based on effect size that the difference is small. Fail to Reject the H0, conclude that there IS NOT a difference in anxiety. Reject the H0, conclude that there IS a difference in anxiety, conclude based on effect size that the difference is large.
Foreign freshmen are required to take an English placement exam. Over the past several years, 20% of the new students have failed the test and have been placed in remedial classes. In a sample of n = 100 studentsfrom this year’s class, only 12 failed the test.
How do I tell if I have a one-sample t-test or an indepenent-samples t-test in the following situation? I have a group that has received a financial benefit and were chosen to rate their happiness after receiving that benefit. However, all members, those in the sample and those in the total group received the same beneifit. Do I have two groups and need an independent samples t-test or do I have one group measured against the mean?
(e) If the researcher decides to test this hypothesis at the x = 0.05 level of significance, will the researcher reject the null hypothesis? Yes O No
Up-County Associates is hired to estimate the proportion of county households that own three or more automobiles. They conducted their survey using a simple random sample of 250 randomly selected households and found that 23% of those households owned three or more automobiles. (a) Is the proportion, 23%, a parameter or a statistic? Explain. (b) If Up-County Associates were to continually choose simple random samples of 250 randomly selected households, each time recording the proportion of households in the sample owning three or more automobiles, what would be the “shape” of the resulting distribution of all these sample proportions? Explain. (c) Suppose now that survey company Lower-County Polling also conducted a survey to determine the proportion of county households that own three or more automobiles, but they surveyed only 100 randomly selected households. If Lower-County Polling were also to sample over and over again (using simple random samples…
Test the claim that the proportion of men who own cats is smaller than 20% at the 0.05 significance level. Based on a sample of 200 people, 11% owned cats The test statistic is: (to 2 decimals) The critical value is: (to 2 decimals)
Would you favor spending more federal tax money on the arts? Of a random sample of n1 = 215 women, r1 = 63 responded yes. Another random sample of n2 = 185 men showed that r2 = 49 responded yes. Does this information indicate a difference (either way) between the population proportion of women and the population proportion of men who favor spending more federal tax dollars on the arts? Use ? = 0.05.

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