uestion 13Which of the following statements are not true?A test statistic is a function of the sample data on which the decision to reject or not reject the null hypothesis is to be based.O Arejection region consists of the set of all test statistic values for which the null hypothesis will be rejected.A rejection region consists of the set of all test statistic values for which the alternative hypothesis will be rejected.O A good hypothesis-testing procedure is one for which the probability of making either type I or type ll error is small.O None of the above statements are true.

Given:Which of the following statements are not true?1) A test statistic is a function of the sample…

Answered: Which of the following statoments are…

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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If the sample data produce a test statistic (z-score) that is in the critical region, then which of the following is the appropriate conclusion for the test? O reject H₁ O fail to reject H₁ O fail to reject Ho O reject Ho
Suppose that in a random selection of 100 colored candies, 21% of them are blue. The candy company claims that the percentage of blue candies is equal to 20%. Use a 0.10 significance level to test that claim. H, p#0.2 Identify the test statistic for this hypothesis test. The test statistic for this hypothesis test is (Round to two decimal places as needed.)
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
1
Test the claim that the proportion of men who own cats is larger than 20% at the .05 significance level. The null and alternative hypothesis would be: 0.2 Но:р — 0.2 Но: и 0.2 Ho:H Ho:H H:р + 0.2 Н]:р 0.2 Hi:р > 0.2 Hi:р#0.2 0.2 Но:р || The test is: left-tailed two-tailed right-tailed Based on a sample of 25 people, 25% owned cats The test statistic is: (to 2 decimals) The critical value is: (to 2 decimals) Based on this we: O Fail to reject the null hypothesis O Reject the null hypothesis
K Two different simple random samples are drawn from two different populations. The first sample consists of 20 people with 11 having a common attribute. The second sample consists of 1900 people with 1353 of them having the same common attribute. Compare the results from a hypothesis test of p₁ = P₂ (with a 0.01 significance level) and a 99% confidence interval estimate of P₁-P₂- What is the conclusion based on the hypothesis test? The test statistic is the critical region, so The 99% confidence interval is < (P₁-P₂) < (Round to three decimal places as needed.) What is the conclusion based on the confidence interval? Since 0 is the null hypothesis. How do the results from the hypothesis test and the confidence interval compare? The results are since the hypothesis test suggests that p₁ the null hypothesis. There is in the interval, it indicates to evidence to conclude that p₁ # P₂. P₂, and the confidence interval suggests that p₁ VP2- D
A psychologist specializing counseling claims that, among all married couples, the proportion p for whom her communication program can prevent divorce 79% . In a random sample of 240 married couples who completed her program, 174 of them stayed together. Based on this sample, can we reject the psychologist's claim at the 0.1 level of significance The null hypothesis: H0: ___ The alternative hypothesis: H1: ___ The type of test statistic: (Choose one) ___ The value of the test statistic: (Round to at least three decimal places.) ______ The p-value: (Round to at least three decimal places.) _____ Can we reject psychologist’s claim that the Proportion of married couples for whom her Program can prevent divorce is a least 79%? Yes ____ or NO____
A college recently advertised that 92% of its students graduate debt-free. A student advocacy organization thinks that the college's claim is unlikely. The organization collected a random sample of 1051 recent graduates from the college and found that 90.2% of the sample graduated without any student debt. Use significance level of 10 % and employ the critical-v proportion of all students from this college that graduate debt-free is different than 92%. method to test the hypothesis that the State the null and alternative hypothesis for this test. О Н: р 0.92 О Но:р - 0.92, Ні:р 40.92 О Но:р 4 0.92, H:р - 0.92 О Но:р > 0.92, Нi:р <0.92 Determine the critical-value (s) for the hypothesis test. O-1.96, 1.96 O-1.64, 1.64 O-2.81, 2.81 01.64 Determine test statistic for the hypothesis test. O 3.38
Identify the claim and state Ho and H Determine whether the hypothesis test is left-tailed, right-tailed, or two-tailed, and whether to use a z-test, a t-test, or a chi-square test. Explain your reasoning. Find the critical value(s), identify the rejection region(s), and find the appropriate standardized test statistic. Decide whether to reject or fail to reject the null hypothesis. Interpret the decision in the context of the original claim. A government agency reports that the mean amount of earnings for full-time workers ages 25 to 34 with a master’s degree is less than $70,000. In a random sample of 15 full-time workers ages 25 to 34 with a master’s degree, the mean amount of earnings is $66,231 and the standard deviation is $5945. At α = 0.05, is there enough evidence to support the agency’s claim? Assume the population is normally distributed.

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