37. In testing hypothesis, which of the following would be strong evidence against the null hypothesis? a) using a small level of significance (alpha level) b) using a large level of significance (alpha level) c) obtaining data with a small P-value d) obtaining data with a large P-value
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- #2.9 Test the given claim. Identify the null hypothesis, alternative hypothesis, test statistic, and then state the conclusion about the null hypothesis, as well as the final conclusion that addresses the original claim. Among 2026 passenger cars in a particular region, 218 had only rear license plates. Among 346 commercial trucks, 50 had only rear license plates. A reasonable hypothesis is that commercial trucks owners violate laws requiring front license plates at a higher rate than owners of passenger cars. Use a 0.05 significance level to test that hypothesis.Test the claim using a hypothesis test. Identify the null and alternative hypotheses for this test. Let population 1 correspond to the passenger cars and population 2 correspond to the commercial trucks. Let a success be a vehicle that only has a rear license plate. Identify the test statistic. State the conclusion about the null hypothesis, as well as the final conclusion that addresses the original claim.Media observers have been examining the number of minutes devoted to business and financial during the half-hour evening news broadcasts of two local television channels. For each channel, the Vice President of Marketing Research has randomly selected weekly broadcasts and observed the number of minutes spent on business and financial news during that broadcast and they are given in the following table. At 0.05 significance level, can the Vice President conclude that the average time devoted to business and financial news during the half-hour evening news for these channels could be different? The Vice President assumes that these independent samples are taken from normal populations. Channel 2 3.8 2.7 4.9 3.4 3.8 4.5 4.2 2.8 3.5 4.6 4.3 Channel 5 6.6 4.0 4.5 5.2 4.8 4.3 5.7 3.5 3.7 5.8 5.9 Please provide the hypothesis, test statistics formula(s), calculations and results, decision of whether or rejecting the hypothesis, and the business conclusion. Also, determine the p-value…The National Institute of Mental Health published an article stating that in any one-year period, approximately 8.8% of American adults suffer from depression or a depressive illness. Suppose that in a survey of 2000 people in a certain city, 11.3% of them suffered from depression or a depressive illness. Conduct a hypothesis test to determine if the true proportion of people in that city suffering from depression or a depressive illness is more than the 8.8% in the general adult American population. Test the relevant hypotheses using a 5% level of significance. Give answer to at least 4 decimal places. a. What are the correct hypotheses? (Select the correct symbols and use decimal values not percentages.) H0: H1: b. Based on the hypotheses, find the following: c. Test Statistic = d. p-value = e. Based on the above we choose to:_____________ f. The correct summary would be: ____________ that the true proportion of people in that city suffering from depression or a…
- The National Institute of Mental Health published an article stating that in any one-year period, approximately 8.8% of American adults suffer from depression or a depressive illness. Suppose that in a survey of 2000 people in a certain city, 11.3% of them suffered from depression or a depressive illness. Conduct a hypothesis test to determine if the true proportion of people in that city suffering from depression or a depressive illness is more than the 8.8% in the general adult American population. Test the relevant hypotheses using a 5% level of significance. Give answer to at least 4 decimal places. a. What are the correct hypotheses? H0: H1: b.) Based on the hypotheses, find the following: c.) Test Statistic = d.) p-value = e.) Based on the above we choose to________________ f.) The correct summary would be:____________ that the true proportion of people in that city suffering from depression or a depressive illness is more than the percent in the general…A manufacturer of nickel-hydrogen batteries randomly selects 100 nickel plates for test cells, cycles them a specified number of times, and determines that 14 of the plates have blistered. Does this provide compelling evidence for concluding that more than 10% ofplates blister under such circumstances?A) State H0 and Ha B) Test the hypothesis using the P-Value approach at a significance level of 4.5%, and express your decision. C) Based on the given data, determine the extreme value without rejecting the H0.1. Describe the test of significance for large sample. In a sample of 1200 people, exactly 690 are ineducation profession and rests are business person. Can we claim that business and educationboth are equally acceptable in this society? Give your conclusion at (i) 1% level of significanceand (ii) 5% level of significance. 2.(a) Show that the significant value of t at level of significance ߙ for one-tailed test is equal to thatof t at 2ߙ significance level for two-tailed test.(b) It is a common experience that the volatility (measured in terms of variance) of a financialmarket strategy is less than 0.25. Define the null and alternative hypothesis for testing your faithon this strategy. Perform a test at 1% level of significance to check the precision of a goodundergoing this strategy. Following are the prices (in rupees) of a particular good:2.9, 3.1, 3.2, 2.8, 2.7, 3.4, 2.6, 3.0, 3.3, 2.9, 2.8, 3.5 3.Let ܺX is uniformly distributed random variable with probability density function…
- suppose the p value in a two tailed test is 0.0134 based on the same population sample and null hypothesis and assuming the test statistics z is negative what is the p value for a corresponding oat tailed testCollege administrators at the same institution are further concerned about the differences in binge drinking behaviors among men and women on campus. Suppose of the 268 participants surveyed about their drinking habits that reported binge drinking behaviors, 94 were female. Is there statistically significant evidence at the alpha level of 0.05 that males partake in binge drinking behaviors more so than females involved in Greek life organizations? Write out your null and alternative hypotheses and interpret your results. A. Hypotheses: H0: p=0.50 and Ha: p<0.50 B. Test Statistic: (Normal approximation to the binomial is used) ���^ = 0.03054 zstat= -4.88678 C. P-value: P < 0.0002 D. Significance level: Are the results significant? Group of answer choices Yes, the evidence against H0 is not sufficient to warrant its rejection. Yes, the evidence against H0 is sufficient to warrant its rejection. No, the evidence against H0 is not sufficient to…What is the p-value if, in a two-tail hypothesis test, ZSTAT=+1.16? p-value=
- In a previous Paul, 44% of adults with children under the age of 18 reported that their family ate dinner together seven nights a week. Suppose that, in a more recent poll, 547 of 1300 adults with children under the age of 18 reported that their family ate dinner together seven nights a week. Is their significance evidence that the proportion of families with children under the age of 18 who eat dinner together seven nights a week has decreased at the = 0.05 significance level? what are the Null and alternative hypothesis?A Deputy Registrar at a certainty university conducted a Chi-Square test of association to establish whether or not employee grade and level of absenteeism were associated. Table 2 below shows part of the results which were obtained. Table 2: Cross tabulation of employee grade and level of absenteeism Contingency Tables Grade LAbsence 1 2 3 Total low Observed 8 1 0 9 Expected 2.90 3.48 2.61 9.00 high Observed 2 11 9 22 Expected 7.10 8.52 6.39 22.00 Total Observed 10 12 9 31 Expected 10.00 12.00 9.00 31.00 2.1 State the appropriate measurement scales for the variables. 2.2 State the null and alternative hypotheses. 2.3 Calculate the expected frequency corresponding to a Grade 3 academic with a high level of absenteeism. 2.4 Find the Chi-Square critical value and test statistic.…A Deputy Registrar at a certainty university conducted a Chi-Square test of association to establish whether or not employee grade and level of absenteeism were associated. Table 2 below shows part of the results which were obtained. Table 2: Cross tabulation of employee grade and level of absenteeism Contingency Tables Grade LAbsence 1 2 3 Total low Observed 8 1 0 9 Expected 2.90 3.48 2.61 9.00 high Observed 2 11 9 22 Expected 7.10 8.52 6.39 22.00 Total Observed 10 12 9 31 Expected 10.00 12.00 9.00 31.00 2.2 State the null and alternative hypotheses.