A certain country's government claims that based on the results of their COVID-19 response satisfaction survey in 2020, 25% of their citizens claim that they are satisfied with their government's response to the pandemic. In 2021, the survey was conducted again and out of a sample of 6,000 respondents, 1,575 showed satisfaction with the government's efforts. At a 0.05 level of significance, is there evidence that the satisfaction rate of the citizens improved (higher) from 2020 to 2021? (a) What is an appropriate Null Hypothesis for the situation? [ Select ] (b) What is the test statistic value? ( Select] (c) What is the critical value(s)? ( Select] (d) What is the decision based on the test? [ Select ]
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- An organization published an article stating that in any one-year period, approximately 11.5 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, nine 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. At a pre-conceived α = 0.05, what are your following?Decision: , Reason for the decision: ,ConclusionThe 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…
- The number of Muslims continues to grow throughout the world, and they are currently thesecond-largest religious group in the world. Knowing that this group has been the target of falsebeliefs about their religion, a researcher is interested in whether people who have moreinteractions with Muslim people are less likely to believe negative statements about Islam. To dothis, they surveyed a large sample of participants across Western Europe and asked themquestions about how frequently they interact with Muslim people as well as how much theyagreed with negative statements about Islam. What statistical test should be used to determine ifthere if how frequently survey participants interact with Muslim people predicts how likely theyare to agree with a negative statement about Islam? Assume parametric assumptions are met. A. Is this a relationship test or a difference test? Explain your rationale. B.The manufacturer of a spot remover claims that hisproduct removes 90 percent of all spots. If, in a random sample, only 174 of 200 spots were removed with the man-ufacturer’s product, test the null hypothesis θ = 0.90 against the alternative hypothesis θ < 0.90 at the 0.05level of significance.The National Institute of Mental Health published an article stating that in any one-year period, approximately 9.5 percent of American adults suffer from depression or a depressive illness. Suppose that in a survey of 100 people in a certain town, seven 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 American population. find the p value
- The National Institute of Mental Health published an article stating that in any two-year period, approximately 10.5percent of American adults suffer from depression or a depressive illness. Suppose that in a survey of 150 people in a certain town, eight of them suffered from depression or a depressive illness. If you were conducting 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 American population, what would the null and alternative hypotheses be?a study by Consumer Reports showed that 64% of supermarket shoppers believe supermarket brands to be as good as national name brands. to investigate whether this resultapplies to its own product, the manufacturer of a national name-brand ketchup asked asample of shoppers whether they believed that supermarket ketchup was as good as thenational brand ketchup.a. formulate the hypotheses that could be used to determine whether the percentage ofsupermarket shoppers who believe that the supermarket ketchup was as good as thenational brand ketchup differed from 64%.b. if a sample of 100 shoppers showed 52 stating that the supermarket brand was as goodas the national brand, what is the p-value?a study by Consumer Reports showed that 64% of supermarket shoppers believe supermarket brands to be as good as national name brands. to investigate whether this resultapplies to its own product, the manufacturer of a national name-brand ketchup asked asample of shoppers whether they believed that supermarket ketchup was as good as thenational brand ketchup.a. formulate the hypotheses that could be used to determine whether the percentage ofsupermarket shoppers who believe that the supermarket ketchup was as good as thenational brand ketchup differed from 64%.b. if a sample of 100 shoppers showed 52 stating that the supermarket brand was as goodas the national brand, what is the p-value?c. at a = .05, what is your conclusion?d. Should the national brand ketchup manufacturer be pleased with this conclusion?explain.
- According to a certain government agency for a large country, the proportion of fatal traffic accidents in the country in which the driver had a positive blood alcohol concentration (BAC) is 0.33.Suppose a random sample of 109 traffic fatalities in a certain region results in 47that involved a positive BAC. Does the sample evidence suggest that the region has a higher proportion of traffic fatalities involving a positive BAC than the country at the α=0.05 level of significance?A company claims that its new viral vaccine is at least 90% effective in preventing a contagious viral disease. Suppose that in a clinical trial with 3000 respondents, 2640 did not get infected by this disease. At 1% level of significance, Is the claim of the company valid or not valid?A researcher took a random sample of 200 new mothers in the United States (Group 1) and found that 16% of them experienced some form of postpartum depression. Another random sample of 200 new mothers in France (Group 2), where mothers receive 16 weeks of paid maternity leave, found that 11% experienced some form of postpartum depression. Can it be concluded that the percent of women in the United States experience more postpartum depression than the percent of women in France? Use α=0.05. Select the correct alternative hypothesis and decision