You are conducting a study to see if the proportion of voters who prefer the Democratic candidate is significantly smaller than 60% at a level of significance of a = 0.10. According to your sample, 31 out of 60 potential voters prefer the Democratic candidate.
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- The mayor of a town has proposed a plan for the construction of an adjoining bridge. A political study took a sample of 900 voters in the town and found that 48% of the residents favored construction. Using the data, a political strategist wants to test the claim that the percentage of residents who favor construction is not equal to 51%. Testing at the 0.05 level, is there enough evidence to support the strategist's claim? Step 1 of 6 : State the null and alternative hypotheses.If the proportion of the population in City A that is over 65 years old is p1 and the proportion of the population in City B that is over 65 years old is p2, what is the null hypothesis for a test to determine if the proportion of the population that is over 65 years old is greater in City A?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. 1. Enter your answer to two decimal places. p' = 2. Calculate ?x. (Round your answer to three decimal places.) 3. Find the p-value. (Round your answer to four decimal places.)
- Two researchers are testing the null hypothesis that a population proportion p is equal to 0.30, and the alternative hypothesis that π = 0.30. Both take samples of 100 observations. Researcher A finds a sample proportion of 0.29, and Researcher B finds a sample proportion of 0.34. For which researcher will the p-value of the test be smaller? Explain without actually doing any computations.A certain university claims that for the last school year the proportion of students who were not able to earn a college diploma is at most 25%. The claim is found in the alternative hypothesis. Is this true or false? What is the null hypothesis?What is the alternative hypothesis?Only 26% of psychology majors are satisfied with their career paths as compared to 50% of accounting majors (The Wall Street Journal, October 11, 2010). Suppose these results were obtained from a survey of 300 psychology majors and 350 accounting majors.Let p1 represent the population proportion of satisfied accounting majors and p2 the population proportion of satisfied psychology majors. a. Develop the appropriate null and alternative hypotheses to test whether the proportion of accounting majors satisfied with their career paths differs from psychology majors by more than 20 percentage points. multiple choice 1 H0: p1 − p2 = 0.20; HA: p1 − p2 ≠ 0.20 H0: p1 − p2 ≤ 0.20; HA: p1 − p2 > 0.20 H0: p1 − p2 ≥ 0.20; HA: p1 − p2 < 0.20 b. Calculate the value of the test statistic. (Round intermediate calculations to at least 4 decimal places and final answer to 2 decimal places.) c. Find the p-value. multiple choice 2 p-value < 0.01 0.01 ≤…
- Are Republicans just as likely as Democrats to display the American flag in front of their residence on the Fourth of July? 441 of the 695 Republicans surveyed display the flag on the Fourth of July and 521 of the 751 Democrats surveyed display the flag on the Fourth of July. What can be concluded at the αα = 0.10 level of significance? For this study, we should use The null and alternative hypotheses would be: H0:H0: (please enter a decimal) H1:H1: (Please enter a decimal) The test statistic = (please show your answer to 3 decimal places.) The p-value = (Please show your answer to 4 decimal places.) The p-value is αα Based on this, we should the null hypothesis. Thus, the final conclusion is that ... The results are statistically significant at αα = 0.10, so there is sufficient evidence to conclude that the population proportion of Republicans who display the American flag in front of their residence on the Fourth of July…In a recent survey, it was stated that Americans watch television on average four hours per day. Assume that σ = 2. Using 40 students as the sample, conduct a hypothesis test to determine if the average for students at your school is lower:Previously, 11.2% of workers had a travel time to work of more than 60 minutes. An urban economist believes that the percentage has increased since then. She randomly selects 85 workers and finds that 11 of them have a travel time to work that is more than 60 minutes . Test the economist's belief at the a= 0.1 level of significance What are the null and alternative hypotheses? what are the null and alternative hypotheses? Because np0(1-p0)= < ? 10, Find the P-value.
- In a sample of 49 men, 38 said that they had less leisure time today than they had 10 years ago. In a sample of 49 women, 30 women said that they had less leisure time today than they had 10 years ago. At α=0.01, is there a difference in the proportions?Use p1 for the proportion of men with less leisure time. State the hypotheses and identify the claim with the correct hypothesis. H0 : p1=p2 ▼not claim H1 : p1≠p2 ▼claim This hypothesis test is a ▼two-tailed test. Find the critical value(s). Round the answer(s) to two decimal places. If there is more than one critical value, separate them with commas. Critical value(s):_______________Suppose a consumer group suspects that the proportion of households that have three or more cell phones is 0.37. A cell phone company has reason to believe that the proportion is not 0.37. Before they start a big advertising campaign, they conduct a hypothesis test. Their marketing people survey 103 households with the result that 82 of the households have three or more cell phones. What is the test statistics to test the Null hypothesis H0 : p = 0.37 against the alternative, Ha : p ≠ 0.37?The mayor of a town has proposed a plan for the construction of a new community. A political study took a sample of 1000 voters in the town and found that 39% of the residents favored construction. Using the data, a political strategist wants to test the claim that the percentage of residents who favor construction is more than 35%. Testing at the 0.02 level, is there enough evidence to support the strategist's claim? -State the null and alternative hypotheses?