This test statistic leads to a decision to...O reject the nullaccept the nullfail to reject the nullAs such, the final conclusion is that...There is sufficient evidence to warrant rejection of the claim that the first populationproportion is not equal to the second population proprtion.O There is not sufficient evidence to warrant rejection of the claim that the first populationproportion is not equal to the second population proprtion.O The sample data support the claim that the first population proportion is not equal to thesecond population proprtion.O There is not sufficient sample evidence to support the claim that the first populationproportion is not equal to the second population proprtion. You wish to test the following claim (Ha) at a significance level of a =0.002.Ho:p1= P2Ha:pi + P2You obtain 65.6% successes in a sample of size ni61.1% successes in a sample of size n2NOT use the continuity correction, and you should use the normal distribution as an approximation448 from the first population. You obtain383 from the second population. For this test, you shouldfor the binomial distribution.What is the test statistic for this sample? (Report answer accurate to three decimal places.)test statisticWhat is the p-value for this sample? (Report answer accurate to four decimal places.)p-value =%3DThe p-value is...O less than (or equal to) aO greater than a

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Answered: accept the null O fail to reject the…

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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Consider the following hypotheses: Ho: u 2 128 НА: и < 128 A sample of 75 observations results in a sample mean of 122. The population standard deviation is known to be 31. (You may find it useful to reference the appropriate table: z table or t table) a-1. Calculate the value of the test statistic. (Negative value should be indicated by a minus sign. Round intermediate calculations to at least 4 decimal places and final answer to 2 decimal places.) Test statistic a-2. Find the p-value. p-value < 0.01 O 0.01 s p-value < 0.025 0.025 s p-value < 0.05 0.05 s p-value < 0.10 p-value 2 0.1O
You wish to test the following claim (Ha) at a significance level of a = 0.001. H.:µ = 79.1 Ha:u < 79.1 You believe the population is normally distributed, but you do not know the standard deviation. You obtain a sample of size n = 581 with a mean of M = 77.9 and a standard deviation of SD = 11.7. What is the critical value for this test? (Report answer accurate to three decimal places.) critical value = What is the test statistic for this sample? (Report answer accurate to three decimal places.) test statistic = The test statistic is... O in the critical region O not in the critical region This test statistic leads to a decision to... O reject the null O accept the null O fail to reject the null hp %23 3.
Suppose we are interested in the relationship between individuals’ place of residence (rural versus urban) and their political affiliation (Republican versus Democrat). A random sample of 100 individuals yields the following crosstabulation: Political Affiliation Place of Residence Republican Democrat Rural 21 29 Urban 14 36 a) In words, what is the null hypothesis to be tested? b) Is the relationship between place of residence and political affiliation statistically significant at the .05 level? (Be sure to show the statistics that lead to your decision.) c) Compute and interpret an appropriate measure of association for the relationship between these two variables.
You wish to test the following claim (Ha) at a significance level of a = 0.05. H.:µ = 84.3 Ha:µ + 84.3 You believe the population is normally distributed, but you do not know the standard deviation. You obtain a sample of size 'n= 15 with a mean of M = 70.4 and a standard deviation of SD = 17.4. What is the critical value for this test? (Report answer accurate to three decimal places.) critical value = + What is the test statistic for this sample? (Report answer accurate to three decimal places.) test statistic =
Suppose that in a random selection of 100 colored candies, 22% of them are blue. The candy company claims that the percentage of blue candies is equal to 30%. Use a 0.10 significance level to test that claim. Identify the null and alternative hypotheses for this test. Choose the correct answer below. O A. Ho: p=0.3 H₁: p=0.3 O B. Ho: p=0.3 H₁: p=0.3 C. Ho: p=0.3 H₁: p>0.3 O D. Ho: p=0.3 H₁: p<0.3 Identify the test statistic for this hypothesis test. The test statistic for this hypothesis test is (Round to two decimal places as needed.) Identify the P-value for this hypothesis test. The P-value for this hypothesis test is (Round to three decimal places as needed.) Identify the conclusion for this hypothesis test. A. Reject Ho. There is sufficient evidence to warrant rejection of the claim that the percentage of blue candies is equal to 30% B. Reject Ho. There is not sufficient evidence to warrant rejection of the claim that the percentage of blue candies is equal to 30% O C. Fail to…
You wish to test the following claim (Ha) at a significance level of a 0.10. H.:p = 0.85 Ha:p < 0.85 You obtain a sample of size n = 324 in which there are 269 successful observations. For this test, you should NOT use the continuity correction, and you should use the normal distribution as an approximation for the binomial distribution. What is the critical value for this test? (Report answer accurate to three decimal places.) critical value = %3D What is the test statistic for this sample? (Report answer accurate to three decimal places.) test statistic =
11:39 1 A myopenmath.com You are conducting a multinomial hypothesis test (a = 0.05) for the claim that all 5 categories are equally likely to be selected. Complete the table. Observed Expected Category Frequency Frequency A 13 В 11 C 12 17 E 23 Report all answers accurate to three decimal places. But retain unrounded numbers for future calculations. What is the chi-square test-statistic for this data? (Report answer accurate to three decimal places, and remember to use the unrounded Pearson residuals in your calculations.) What are the degrees of freedom for this test? d.f.= What is the p-value for this sample? (Report answer accurate to four decimal places.) p-value = The p-value is... less than (or equal to) a greater than a
Machines at a factory are supposed to dispense 250 grams of sugar per pack. A random sample of sugar packs is taken from the factory, and their contents (in grams) are measured. Following are the sample data: 247 247 247 248 249 250 250 250 251 251 Is there sufficient evidence to conclude that the machines do not conform to the indicated sugar amount? Use 0.10 level of significance. Which case for hypothesis testing must be used? ( Select ] What is the alternative hypothesis? ( Select ] What is the value of the test statistic? [ Select ] What is/are the critical value/s? Select ] What is the appropriate conclusion? [Select
You wish to test the following claim (H) at a significance level of a = 0.05. For the context of this problem, d = 2-1 where the first data set represents a pre-test and the second data set represents a post-test. Ho: Pd = 0 Ha: d < 0 You believe the population of difference scores is normally distributed, but you do not know the standard deviation. You obtain pre-test and post-test samples for n = 301 subjects. The average difference (post-pre) is d = 2.4 with a standard deviation of the differences of sa = 22.7. What is the test statistic for this sample? (Report answer accurate to three decimal places.) test statistic = L What is the P-value for this test? (Report answer accurate to four decimal places.) P-value = The P-value is... O less than (or equal to) a O greater than a This P-value leads to a decision to... O reject the null O accept the null O fail to reject the null
A) What is the alternative hypothesis? a. The population mean is equal to 7.2 points. b. The population mean is greater than 7.2 points. c. The population mean is smaller than 7.2 points. B) What Z-score(s) corresponds to the alpha level? In other words, at what point(s) would we reject the null hypothesis? C) What is the test statistic?
Q2) Paired-Samples t Test A research project has been tracking the health and cognitive functions of the elderly population in Arizona. The table below shows the memory test scores from some elderly residents, tested first when they were 65 years old and again when they were 75 years old. The researcher wants to know if there is a significant decline in memory functions from age 65 to age 75 based on this sample. In other words, it is hypothesized that the memory score at age 75 is significantly lower than the memory score at age 65. So the null and alternative hypotheses should be directional. The alpha level was set at a = .05 for a one-tailed hypothesis test. Memory score Subject 1 2 3 4 5 6 7 8 9 10 Age 65 62 95 55 90 98 73 73 71 82 66 Age 75 65 88 56 89 90 75 70 70 80 62
A satisfactory survey was conducted on 20 individuals. Assume that the responses were normally distributed and recorded at 90% confidence level. What is the value of their t- score?

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