A die is rolled 30 times and the results are recorded in the table.Number Rolled 123456Frequency694425A goodness-of-fit chi-square test is to be used to test the null hypothesis that the die is fair. At a significance level of a = 0.01, what is the value of chi-square and the appropriate conclusion?Ox 5.6; fail to reject the null hypothesis25.6; reject the null hypothesisOx11.2; fail to reject the null hypothesisOx² = 11.2; reject the null hypothesisOx² = 15.33; fail to reject the null hypothesis

To testH0: Die is fairH1: Die is not fairNow for fair dieP(1)=P(2)=P(3)=P(4)=P(5)=P(6)=1/6 (=p ,…

Answered: A die is rolled 30 times and 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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A die is rolled 30 times and the results are recorded in the table. Number Rolled 123456 Frequency 694425 A goodness-of-fit chi-square test is to be used to test the null hypothesis that the die is fair. At a significance level of a = 0.01, what is the value of chi-square and the appropriate conclusion? Ox²=5.6; fail to reject the null hypothesis = 0x = 5.6; reject the null hypothesis = 11.2; fail to reject the null hypothesis Ox11.2; reject the null hypothesis O 15.33; fail to reject the null hypothesis =
In a one-tail hypothesis test where you reject Ho only in the lower tail, what is the p-value if ZSTAT =-116? Click here to view page 1 of the Normal table, Click here to view page 2 of the Normal table. The p-value is (Round to four decimal places as needed.)
1
In a one-tail hypothesis test where you reject Ho only in the upper tail, what is the p-value if ZSTAT = +2.40? Click here to view page 1 of the Normal table. Click here to view page 2 of the Normal table. The p-value is (Round to four decimal places as needed.)
An IQ test is designed so that the mean is 100 and the standard deviation is 13 for the population of normal adults. Find the sample size necessary to estimate the mean IQ score of statistics students such that it can be said with 99%confidence that the sample mean is within 3 IQ points of the true mean. Assume that σ=13 and determine the required sample size using technology. Then determine if this is a reasonable sample size for a real world calculation. The required sample size is ___
You are conducting a multinomial Goodness of Fit hypothesis test for the claim that the 4 categories occur with the following frequencies:HoHo : pA=0.4 pB=0.3 ; pC=0.15 ; pD=0.15Complete the table. Report all answers accurate to three decimal places. Category ObservedFrequency ExpectedFrequency Residual A 44 B 34 C 32 D 19 What is the chi-square test-statistic for this data?χ2=For significance level alpha 0.1, what is the chi-square Critical Value?Critical Value = What would be the conclusion of this hypothesis test? Reject the Null Hypothesis Fail to reject the Null Hypothesis Report all answers accurate to three decimal places
Determine the critical value(s) for a one-mean z-test. Draw a graph that illustrates your answer. A left-tailed test with a = 0.03. Click here to view page 1 of the standard normal table. Click here to view page 2 of the standard normal table. The critical value(s) is (are) (Round to two decimal places as needed. Use a comma to separate answers as needed.) Choose the correct graph of the hypothesis test below. O A. O B. Reject Ho 0.015 Do not reject Ho 0.985 Rej. Ho 0.03 Do not reject Ho 0.94 T 0 Rej. Ho Q 0.03 /₂0 O C. Do not reject Ho W 0.97 Reject Ho 0.03
(c) Identify the standardized test statistic. Use technology. z=kjkj (Round to two decimal places as needed.) (d) Decide whether to reject or fail to reject the null hypothesis, and (e) interpret the decision in the context of the original claim. A. RejectH0. There is sufficient evidence to reject the claim that mean bulb life is at least 743 hours. B. Fail to reject H0. There is sufficient evidence to reject the claim that mean bulb life is at least 743 hours. C. Reject H0. There is not sufficient evidence to reject the claim that mean bulb life is at least 743 hours. D. Fail to reject H0. There is not sufficient evidence to reject the claim that mean bulb life is at least 743 hours.
Number 11
Test the hypothesis that 0₁ #02 at the a= 0.01 level of significance for the given sample data. Assume that the populations are normally distributed. Use the P-value approach. Ho: 01 H₁: 01 Jhumu Search S Use technology to find the P-value for this test. The P-value is 0.072 (Round to three decimal places as needed.) Make a statement regarding the null hypothesis and draw a conclusion for this test. Since the P-value is the = 0.01 level of significance, the null hypothesis. There sufficient evidence to conclude that the standard deviation of Population 1 is significantly different from the standard deviation of Population 2 at the x=0.01 level of significance. LOL Population 1 Population 2 19 19 3.1 4.8 DELL M
A random sample of 200 middle school students was collected and the students were asked the question, "If you could have only one type of pet, what would it be?” The responses, separated by grade, are shown in the table. A teacher wants to perform a chi-square test of independence/association on the data. Are the conditions for such a test met? A. Yes, the sample size of 200 is large B. Yes, all the expected cell counts are 5 or higher. C. Yes, all the observed cell counts are 5 or higher. D. No, not all the observed counts are above 5. E. No, some of the expected cell counts are below 5.
You are conducting a multinomial Goodness of Fit hypothesis test for the claim that all 5 categories are equally likely to be selected. Complete the table. Report all answers correct to three decimal places. H0:pA=pB=pC=pD=pEH0:pA=pB=pC=pD=pEHa:Ha:At least one probability is not equal to the others (claim) Expected frequency 15.6 1.) What is the chi-square test-statistic for this data?χ2=

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