Suppose we want to test the null hypothesis Ho: p1 - P2 = 0 against the alternative hypothesis H1 : p1 - P2 # 0 at the 5% level of significance. Suppose also that P1 0.8, п1 500, р> 0.75, п, — 400. What are the critical values for this test? Select one: а. -1.793 and 1.793 O b. -1.6449 and 1.6449 -2.5490 and 2.5490 O d. -1.96 and 1.96
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- Suppose you want to test the claim that u, #H2. Two samples are randomly selected from each population. The sample statistics are given below. At a level of significance of a = 0.05, when should you reject Ho? n, = 50, n2 = 60, x, = 29, x2 = 27, o, = 1.5, o2 = 1.9 O A. Reject H, if the standardized test statistic is less than - 1.96 or greater than 1.96. O B. Reject H, if the standardized test statistic is less than - 2.33 or greater than 2.33. O C. Reject H, if the standardized test statistic is less than -2.575 or greater than 2.575. O D. Reject H, if the standardized test statistic is less than - 1.645 or greater than 1.645.Previously, 3% of mothers smoked more than 21 cigarettes during their pregnancy. An obstetrician believes that the percentage of mothers who smoke 21 cigarettes or more is less than 3% today. She randomly selects 145 pregnant mothers and finds that 3 of them smoked 21 or more cigarettes during pregnancy. Test the researcher's statement at the a = 0.1 level of significance. What are the null and alternative hypotheses? Ho: versus H,: (Type integers or decimals. Do not round.)You are conducting a study to see if the proportion of voters who prefer Candidate A is significantly different from 61% at a significance level of αα = 0.025. According to your sample, 32 out of 54 potential voters prefer Candidate A. For this study, we should use Select an answer 2-SampTTest 2-PropZInt χ²GOF-Test 1-PropZTest T-Test 2-SampTInt 2-PropZTest χ²-Test 1-PropZInt ANOVA TInterval The null and alternative hypotheses would be: H0H0: ? p μ Select an answer > < = ≠ (please enter a decimal) H1H1: ? μ p Select an answer < > = ≠ (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 Select an answer less than (or equal to) greater than αα Based on this, we should Select an answer accept reject fail to reject the null hypothesis. As such, the final conclusion is that ... The sample data suggest t
- find the p-value for the hypothesis test with the standard test statistic z. decide whether to reject H0 for the level of significanceα 14. Left-tailed test (z=-1.55, α=0.05) 16. Right-tailed test (z=1.23, α=0.10) 18. Two-tailed test (z=1.95, α=0.08)K Previously, 6.6% 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 55 workers and finds that 10 of them have a travel time to work that is more than 60 minutes. Test the economist's belief at the x = 0.1 level of significance. What are the null and alternative hypotheses? Ho: ▼ versus H₁: (Type integers or decimals. Do not round.) Because npo (1-Po) (Round to one decimal place as needed.) Find the P-value. = 10, the normal model P-value= (Round to three decimal places as needed.) Is there sufficient evidence to support the economist's belief? 00 be used to approximate the P-value. OA. Yes, do not reject the null hypothesis. There is sufficient evidence because the P-value is greater than α. OB. No, do not reject the null hypothesis. There is not sufficient evidence because the P-value is greater than α. C. Yes, reject the null hypothesis. There is sufficient evidence because the…20. Only about 10% of all people can wiggle their ears. Is this percent lower for millionaires? Of the 372 millionaires surveyed, 30 could wiggle their ears. What can be concluded at the αα = 0.05 level of significance? For this study, we should use The null and alternative hypotheses would be: H0: (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 3 decimal places.) The p-value is α Based on this, we should the null hypothesis. Thus, the final conclusion is that ... The data suggest the population proportion is not significantly lower than 10% at αα = 0.05, so there is statistically significant evidence to conclude that the population proportion of millionaires who can wiggle their ears is equal to 10%. The data suggest the populaton proportion is significantly lower than 10% at αα = 0.05, so there is statistically significant…
- Previously, 4% of mothers smoked more than 21 cigarettes during their pregnancy. An obstetrician believes that the percentage of mothers who smoke 21 cigarettes or more is less than 4% today. She randomly selects 140 pregnant mothers and finds that 2 of them smoked 21 or more cigarettes during pregnancy. Test the researcher's statement at the a = 0.1 level of significance. What are the null and alternative hypotheses? = 0.04 versus H4: p < 0.04 (Type integers or decimals. Do not round.) Ho: P Because npo (1-Po) = < 10, the normal model may not be used to approximate the P-value. (Round to one decimal place as needed.)Professor Nord stated that the mean score on the final exam from all the years he has been teaching is a 79%. Colby was in his most recent class, and his class’s mean score on the final exam was 82%. Colby decided to run a hypothesis test to determine if the mean score of his class was significantly greater than the mean score of the population. α = .01. What is the mean score of the population? What is the mean score of the sample? Is this test one-tailed or two-tailed? Why?Suppose we want to test the null hypothesis H0 : p1 − p2 = 0.2 against the alternative hypothesis Ha : p1 − p2 < 0.2 at the 5% level of significance. Suppose also that x1 = 80, n1 = 100, x2 = 40, n2 = 80. What is the observed test statistic for this test?
- The average annual miles driven per vehicle in the United States is 11.1 thousand miles, with σ ≈ 600 miles. Suppose that a random sample of 36 vehicles owned by residents of Chicago showed that the average mileage driven last year was 10.9 thousand miles. Does this indicate that the average miles driven per vehicle in Chicago is different from (higher or lower than) the national average? Use a 0.05 level of significance. What are we testing in this problem? State the null and alternate hypotheses. What sampling distribution will you use? What assumptions are you making? The standard normal, since we assume that x has a normal distribution with known σ. The Student's t, since we assume that x has a normal distribution with unknown σ. The standard normal, since we assume that x has a normal distribution with unknown σ. The Student's t, since we assume that x has a normal distribution with known σ. What is the value of the sample test statistic? (Round your answer to two…Only about 18% of all people can wiggle their ears. Is this percent different for millionaires? Of the 374 millionaires surveyed, 45 could wiggle their ears. What can be concluded at the αα = 0.01 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 3 decimal places.) The p-value is αα Based on this, we should the null hypothesis. Thus, the final conclusion is that ... The data suggest the population proportion is not significantly different from 18% at αα = 0.01, so there is statistically significant evidence to conclude that the population proportion of millionaires who can wiggle their ears is equal to 18%. The data suggest the population proportion is not significantly different from 18% at αα = 0.01, so there is…