From the given information in each case below, use technology to find the P-value for a chi-square test and give the conclusion for a significance level of a = 0.01. (Use technology to calculate the P-value. Round your answers to four decimal places.) LAUSE SALT (a) x² = 7.60, df = 2 P-value= State the conclusion. O Reject Ho O Fail to reject Ho (b) x² 12.90, df = 6 P-value= State the conclusion. O Reject Ho
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- The National Institute of Mental Health published an article stating that in any one-year period, approximately 9.1% of American adults suffer from depression or a depressive illness. Suppose that in a survey of 2000 people in a certain city, 10.5% 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 9.1% in the general adult American population. Test the relevant hypotheses using a 1% 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:It has been claimed that more than 40 percent of allshoppers can identify a highly advertised trademark. If, in a random sample, 10 of 18 shoppers were able to iden-tify the trademark, test at the 0.05 level of significance whether the null hypothesis θ = 0.40 can be rejectedagainst the alternative hypothesis θ > 0.40.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…An organization published an article stating that in any one-year period, approximately 7.5 percent of adults in a country suffer from depression or a depressive illness. Suppose that in a survey of 100 people in a certain town, six of them suffered from depression or a depressive illness. Conduct a hypothesis test to determine if the true proportion of people in that town suffering from depression or a depressive illness is lower than the percent in the general adult population in the country.A well-known brokerage firm executive claimed that at least 90% of investors are currently confident of meeting their investment goals. An XYZ Investor Optimism Survey, conducted over a two week period, found that in a sample of 800 people, 88% of them said they are confident of meeting their goals. What would be our formal conclusion about the null hypothesis at a 0.05 significance level?
- If, in a one-tail hypothesis test where H0 is only rejected in the upper tail, the p-value=0.2047 and ZSTAT=+0.82, what is the statistical decision if the null hypothesis is tested at the 0.07 level of significance? What is the statistical decision?According to the National Highway and Traffic Safety Administration, the proportion of fatal traffic accidents in the United States in which the driver had a positive blood alcohol concentration (BAC) is .36. Suppose a random sample of 105 traffic fatalities in the state of Hawaii results in 51 that involved a positive BAC. D) Check whether the conditions for hypothesis testing using the P-value approach are meet.Recently, a large academic medical center determined that 7 of 15 employees in a particular position were male,whereas 56% of the employees for this position in the general workforce were male. At the 0.01 level of significance, is there evidence that the proportion of males in this position at this medical center is different from what would be expected in the general workforce? What are the correct hypotheses to test to determine if the proportion is different? A. H0:π≥0.56; H1:π<0.56 B. H0:π=0.56; H1:π≠0.56 C.H0:π≤0.56; H1:π>0.56 D.H0:π≠0.56; H1:π=0.56 Part 2 Calculate the test statistic. ZSTAT=enter your response here (Type an integer or a decimal. Round to two decimal places as needed.) Part 3 What is the p-value? The p-value is..... (Type an integer or a decimal. Round to three decimal places as needed.) State conclusion of test Reject/Do not reject the null hypothesis. There is sufficient/insufficient evidence to…
- According to the February 2008 Federal Trade Commission report on consumer fraud and identity theft, 23% of all complaints in 2007 were for identity theft. In that year, Alaska had 321 complaints of identity theft out of 1,432 consumer complaints ("Consumer fraud and," 2008). Does this data provide enough evidence to show that Alaska had a lower proportion of identity theft than 23%? Test at the 5% level. viii) Comparing p-value and α value, which is the correct decision to make for this hypothesis test? A. Reject H B. Fail to reject Ho C. Accept Ho D. Accept HA Enter letter corresponding to correct answer. (ix) Select the statement that most correctly interprets the result of this test: A. The result is statistically significant at .05 level of significance. Evidence supports the claim that the proportion of complaints due to identity theft in Alaska is less than 23%. B. The result is statistically significant at .05 level of significance. There is not…A well-known brokerage firm executive claimed that 90% of investors are currently confident of meeting their investment goals. An XYZ Investor Optimism Survey, conducted over two weeks, found that in a sample of 100 people, 95% of them said they are confident of meeting their goals. Test the claim that the proportion of confident people is more significant than 90% at the 0.10 significance level. The null and alternative hypotheses would be: H0:p=0.9H0:p=0.9H1:p≠0.9H1:p≠0.9 H0:μ=0.9H0:μ=0.9H1:μ≠0.9H1:μ≠0.9 H0:μ=0.9H0:μ=0.9H1:μ>0.9H1:μ>0.9 H0:μ=0.9H0:μ=0.9H1:μ<0.9H1:μ<0.9 H0:p=0.9H0:p=0.9H1:p<0.9H1:p<0.9 H0:p=0.9H0:p=0.9H1:p>0.9H1:p>0.9 The test is: two-tailed left-tailed right-tailed What is the test statistic? (to 3 decimals) What is the p-value (to 4 decimals) Based on this we: Fail to reject the null hypothesis Reject the null hypothesisIn a random sample of 150 business graduates 50 agreed or strongly agreed that businesses should focus their efforts on innovative e-commerce strategies. Test at the 5% level the null hypothesis that at most 25% of all business graduates would be in agreement with this assertion.