Sex and Stance on Bill 2 Sex Stance on Bill2 Male Female Total Support 387 453 840 Oppose 132 109 241 Total 519 562 1081 Which is the most appropriate null hypothesis for a chi-squa lata? O There is a weak positive relationship between sex and stance on Rill 2
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- I bought a new set of headphones, and it failed after two days. The manufacturer claims that this happens only in less than 1 percent of cases. The Bureau of Consumer Affairs decides to investigate my complaint and tests 120 sets of headphones. What should their null hypothesis be if they want to collect evidence against the manufacturer's claim? What form should their p-value have? a. H0: p>= 0.01 with p-value P(k >= c | p = 0.01) b. H0: p<= 0.01 with p-value P(k <= c | p = 0.01) c. None of the other answers is correct. d. H0: p<= 0.01 with p-value P(k >= c | p = 0.01) e. H0: p>= 0.01 with p-value P(k <= c | p = 0.01)An education researcher claims that 57%of college students work year-round. In a random sample of 300 college students, 171 say they work year-round. At α=0.01, is there enough evidence to reject the researcher's claim? Find the standardized test statistic z. z= (f) Decide whether to reject or fail to reject the null hypothesis and (e) interpret the decision in the context of the original claim. ▼ a.Fail to reject b.Reject the null hypothesis. There ▼ a.is not b.is enough evidence to ▼ a.reject b.support the researcher's claim.Consider the null hypothesis Ho: The man is innocent of crime. Ha: The man is guilty of crime. What is the Type I error? What is the Type II error?
- A researcher obtains a sample of n= 25 adults who are between the ages of 65 and 75. The researcher measures cognitive performance for each individual before and after a two-month program in which participants receive daily doses of a blueberry supplement. The results show an average increase in performance of MD= 8, with SS = 1200. Does the result support the conclusion that the blueberry supplement significantly increase cognitive performance? Use a one-tailed test with α = .01 a. The alternative hypothesis in words is b. The null hypothesis in symbols is c. The critical t-value is d. The t-statistic is e. Your decision is f. Construct a 95% confidence interval to estimate the average cognitive performance improvement for the population of older adults. The lower boundary is g. The upper boundary of the confidence interval you constructed in the previous question isA refrigerator manufacturer claims that the mean life of its competitor's refrigerators is less than 18 years. You are asked to perform a hypothesis test to test this claim. (a) How would you write the null and alternative hypothesis if you represent the manufacturer and want to support the claim? (b) How would you write the null and alternative hypothesis if you represent the competitor and want to reject the claim?12% of all Americans suffer from sleep apnea. A researcher suspects that a higher percentage of those who live in the inner city have sleep apnea. Of the 349 people from the inner city surveyed, 45 of them suffered from sleep apnea. What can be concluded at the level of significance of αα = 0.05? For this study, we should use t test or z test ? The null and alternative hypotheses would be: Ho: (please enter a decimal) 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 <or > α? Based on this, we should accept or reject or fail to reject the null hypothesis.?
- A school reports that 81% of its graduates get jobs within one year. You take a random sample of 67 graduates, of whom 49 got a job within one year. Is this enough evidence to show that a significantly different percent of graduates get jobs than advertised by the school? (Use αα=0.025) For this study, we should use (t-test, z-test) The null and alternative hypotheses would be: H0: (symbol) (symbol) _____ (please enter a decimal) H1: (symbol) (symbol) _____ (Please enter a decimal) The test statistic (symbol) = ______ (please show your answer to 3 decimal places.) The p-value = ______ (Please show your answer to 4 decimal places.) The p-value is (symbol) αα Based on this, we should (accept, reject, fail to reject) the null hypothesis. As such, the final conclusion is that ... The sample data suggest that the populaton proportion is significantly different than 81% at αα = 0.025, so there is sufficient evidence to conclude…A company that develops artificial intelligence designed to detect false statements has developed a program that police officers can use to determine whether a criminal suspect is lying or not. According to the company, the AI can detect false statements correctly 75% of the time. What are the null and alternative hypothesis for testing the claim that the AI detects false statements as claimed by the company? H0 : p = .01, Hα : p ≠ .01 H0 : p = .99, Hα : p ≠ .99 H0 : p = .25, Hα : p ≠ .25 H0 : p = .75, Hα : p ≠ .75Previously, forcing a mother smoked more than 21 cigarettes during the pregnancy. A doctor believes that the pregnancy of mothers who smoke 21 cigarettes or more is less than 4% today. She randomly selects 140 pregnant mothers and find that 2 of them smoke 21 or more cigarettes during pregnancy. Test the research statement at the = 0.05 level of significance. identify the correct Null and alternative hypothesis. use technology to find the P value. P value =_. (round to three decimal places as needed.) should one reject the null hypothesis? or should one not reject the null hypothesis?