11.21Consider the following contingency table, which is based ona sample surveyColumn 1Column 2Column 3Row 113764105Row 2987165Row 311581115a. Write the null and alternative hypotheses for a test of inde-pendence for this tableb. Calculate the expected frequencies for all cells, assuming thatthe null hypothesis is true01, find the critical value of. Show the rejectionand nonrejection regions on the chi-square distribution curvec. For a =d. Find the value of the test statistice. Using a 01, would you reject the null hypothesis?

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Answered: 11.21 Consider the following…

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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To evaluate the effect of a treatment, a sample is obtained from a population with a mean of m = 20, andthe treatment is administered to the individuals in thesample. After treatment, the sample mean is found tobe M = 21.3 with a variance of s2= 9.a. Assuming that the sample consists of n = 16individuals, use a two-tailed hypothesis test witha = .05 to determine whether the treatment effectis significant and compute both Cohen’s d and r2to measure effect size. Are the data sufficient toconclude that the treatment has a significant effectusing a two-tailed test with a =.05?b. Assuming that the sample consists of n = 36 individuals, repeat the test and compute both measuresof effect size.c. Comparing your answers for parts a and b, howdoes the size of the sample influence the outcomeof a hypothesis test and measures of effect size?
A researcher administers a new treatment to a sample of participants selected from a population with µ = 80. If the researcher obtains a sample mean of M = 88, which combination of factors is most likely to result in rejecting the null hypothesis?
Suppose a research study uses two independent groups with 21 individuals in each group. If a t-test analysis produces a calculated value of t of 1.68, which of the following is the correct decision?A. At the .05 level of significance, reject the null hypothesisB. At the .01 level of significance, reject the null hypothesisC. At the .05 level of significance, fail to reject the null hypothesisD. Impossible to answer without additional information
To evaluate the effect of a treatment, a sample is obtained from a population with a mean of µ=20, and the treatment is administered to the individuals in the sample. After the treatment, the sample mean is found to be M=21.3 with a variance of s²=9. a. Assuming that the sample consists of n=16 individuals , use a two-tailed hypothesis test with α=.05 to determine whether the treatment effect is significant and compute both Cohen's d and r² to measure effect size. Are the data sufficient to conclude that the treatment has a significant effect using a two-tailed test with α=.05? b. Assuming that the sample consists of n=36 individuals, repeat the test and compute both measures of effect size. c. Comparing your answers for parts a and b, how does the size of the sample influence the outcome of a hypothesis test and measures of effect size?
To evaluate the effect of a treatment, a sample ofn = 8 is obtained from a population with a mean of m =50, and the treatment is administered to the individuals in the sample. After treatment, the sample mean is found to be M = 55. Assuming that the sample variance is s2 =32, use a two-tailed hypothesis test with a = .05 to determine whether the treatment effect is significant and compute both Cohen’s d and r2 to measure effect size. Assuming that the sample variance is s2 = 72, repeat the test and compute both measures of effect size. Comparing your answers for parts a and b, how does the variability of the scores in the sample influence the outcome of a hypothesis test and measures of effect size?
To evaluate the effect of a treatment, a sample of n = 8 is obtained from a population with a mean of μ = 50, and the treatment is administered to the individuals in the sample. After treatment, the sample mean is found to be M = 55. Assuming that the sample variance is s^2 = 32 , use a two-tailed hypothesis test with α = .05 to determine whether the treatment effect is significant and compute both Cohen’s d and r^2 to measure effect size. Assuming that the sample variance is s^2 = 72 , repeat the test and compute both measures of effect size. Comparing your answers for parts a and b, how does the variability of the scores in the sample influence the outcome of a hypothesis test and measures of effect size?
If, in a one-tail hypothesis test where H0 is only rejected in the upper tail, the p-value=0.6792 and ZSTAT=−0.47,what is the statistical decision if the null hypothesis is tested at the 0.07 level of significance? What is the statistical decision? Since the p-value is Less than or Greater than or equal to a= , Reject , Do not reject H0.
A researcher is testing a null hypothesis that states H0: μ = 50. A sample of n = 25 scores is selected and the mean is M = 55. (a) Assuming that the sample variance is s2 = 100, compute the estimated standard error and t statistic. Is this sample sufficient to reject the null hypothesis using a two-tailed test with α = .05? (b) Assuming that the sample variance is s2 = 400, compute the estimated standard error and t statistic. Is this sample sufficient to reject the null hypothesis using a two-tailed test with α = .05? (c) Describe in one sentence how increasing the variance affects the standard error and the likelihood of rejecting the null hypothesis.
A random sample of n=9 individuals is selected from a population with μ=20, and a treatment is administered to each individual in the sample. After treatment, the following scores are observed: 43 15 37 17 29 21 25 29 27 Compute the sample mean and variance. How much difference is there between the mean for the treated sample and the mean for the original population? (Note: In a hypothesis test, this value forms the numerator of the t statistic.) If there is no treatment effect, what is the typical difference between the sample mean and its population mean? That is, find the standard error for M. (Note: In a hypothesis test, this value is the denominator of the t statistic.) Based on the sample data, does the treatment have a significant effect? Use a two-tailed test with a=.5.
A manufacturer of chocolate chips would like to know whether its bag filling machine works correctly at the 443 gram setting. Is there a significant evidence at the 0.02 level that the bags are overfilled assume the population is normally distributed. State the null and alternative hypotheses for the above scenario. HO: and HA:
30. Which of the following is not a post-hoc procedure that can be used in an ANOVA?A. Bonferroni correctionB. Tukey’s testC. Hochberg's GT2D. Levene's test 31.A researcher wanted to compare the amount of fear induced by different animals. She presented one group of 10 adolescents with a picture of a rattlesnake, another group of 10 with a picture of a tarantula, and the third group of 10 with a picture of a sheep. The adolescents were asked to rate how scared they were on a scale 1 to 7. The researcher is thinking of using three t-tests to compare the three picture conditions (rattlesnake vs. sheep, tarantula vs. sheep and rattlesnake vs. tarantula). By doing this the researcher would increase:A. Type II errorB. MS errorC. Familywise errorD. SS error 32. If the researcher in the previous question decided to analyze the data from the study using a one-way factorial ANOVA instead, what would be the number of degrees of freedom for the between-groups Mean Squares (MSbetween)?A. 3B. 2C.…
A random sample of 10 professional athletes produced the following data where X is the number of endorsements the player has and Y is the amount of money made (in millions of dollars). Use the 4 steps of hypothesis testing to see if the prediction is significant with a criteria of alpha=.05 on the following data. x y 0 2 3 8 2 7 1 3 5 13 5 12 4 9 3 9 0 3 4 10

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