We have Ho : p = .4 and H1: p > .4. You run 50 experiments and find that the sample proportion is .42. Use alpha = .01 to test the hypothesis.
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- estimate the population proportion p,what is the minimum sample size we need in order to achieve a margin of error no more than 0.01 with a 95% cinfidence level? Similar study in the past suggest an guess of 0.1 for the value of p.You are testing the claim that a population proportion exceeds .62. The null hypothesis is H0H0:When we test the hypothesis that the population proportions are equal, we can use the Z test for a one-sided as well as a two-sided alternative. Select one: a. False b. True C. Not sure
- When comparing two independent population means, if n1 = 13 and n2 = 10, degrees of freedom for the t statistic is 22. %3D True or False True FalseHow do I find the test statistic and P value for this question?You hear on the local news that for the city of Kalamazoo, the proportion of people who support President Trump is 0.42. However, you think it is less than 0.42. The hypotheses you want to test are Null Hypothesis: p ≥ 0.42, Alternative Hypothesis: p < 0.42. You take a random sample around town and calculate a p-value for your hypothesis test of 0.7963. What is the appropriate conclusion? Conclude at the 5% level of significance. Question 4 options: 1) We did not find enough evidence to say the proportion of people who support President Trump is larger than 0.42. 2) We did not find enough evidence to say a significant difference exists between the proportion of people who support President Trump and 0.42 3) The proportion of people who support President Trump is significantly less than 0.42. 4) We did not find enough evidence to say the proportion of people who support…
- You are conducting a study to see if the proportion of voters who prefer Candidate A is significantly more than 0.57. You use a significance level of a = 0.001. Ho:p = 0.57 H1:p > 0.57 You obtain a sample of size n = 331 in which there are 211 successes.You wish to test the claim that the first population mean is not equal to the second population mean at a significance level of α=0.02 . Ho:μ1=μ2 Ha:μ1≠μ2 You obtain the following two samples of data. Sample #1 Sample #2 67.1 64.2 32.7 49.0 63.8 54.8 63.5 54.1 65.6 54.8 40.5 58.7 39.4 43.1 72.5 73.1 70.2 71.2 68.1 73.1 79.7 67.3 66.5 61.7 62.9 76.5 What is the test statistic for this sample?test statistic = Round to 3 decimal places. What is the p-value for this sample?p-value = Use Technology Round to 4 decimal places. The p-value is... less than (or equal to) α greater than α This test statistic leads to a decision to... reject the null accept the null fail to reject the null As such, the final conclusion is that... There is sufficient evidence to warrant rejection of the claim that the first population mean is not equal to the second population mean. There is not sufficient…Suppose you have a friend that thinks at least a quarter (25% or 0.25) of all US adults believe in ghosts. Thus, the null hypothesis would be, HO: p = 0.25 Suppose a telephone survey of 1000 randomly selected US adults found that 0.31 or 31% of them say they believe in ghosts. If the null hypothesis is true, the uncertainty or Standard Error in this sample proportion = 0.014 Based on this information, what is the value for the Z-statistic in this hypothesis test? (Round your answer to two decimal places.) Answer:
- College students and STDs: A recent report estimated that 25% of all college students in the United States have a sexually transmitted disease (STD). Due to the demographics of the community, the director of the campus health center believes that the proportion of students who have a STD is higher at his college. He tests H0: p = 0.25 versus Ha: p > 0.25. The campus health center staff select a random sample of 150 students and determine that 43 have been diagnosed with a STD. Conduct a hypothesis test to address the director’s hypothesis. Use a 5% significance level to make your decision. Use the applet to determine the P‑value. Click here to open the applet. Which of the following is an appropriate conclusion based on the results? The data provides strong evidence that the proportion of students at his college who have a STD is more than 25%. The data suggests that the proportion of students at his college who have a STD is 29%. Of the students surveyed at his college, 29%…In 1965, about 44% of the u.s. adult population had never smoked cigarettes. A national health survey of 1360 u.s adults(selected randomly) during 2020 revealed that 626 had never smoked cigarettes. Using a=0.05, test whether there has been a change since 1965 in the proportion of u.s. adults that have never smoked cigarettes. State the hypothesis, list and check the conditions, calculate the test statistic, find the p-value, and make a conclusion in a complete sentence related to the scenarioA two-sample z-test for two population proportions is to be performed using the P-value approach. The null hypothesis is Hn: P, = p, and the altemative is H: P, #p2. Use the given sample data to find the P-value for the hypothesis test. Give an Interpretation of the p-value. A state university found it lost 25 students out of 352 in 2013 and 36 students out of 334 in 2014. O A P-value = 0. 0455; There is about a 4.55% chance that the two proportions are equal. O B. P-value = 0.091; If there is no difference in the proportions, there is about a 9.1% chance of seeing the observed difference or larger by natural sampling variation. OC. P-value = 0.0455; there is no difference in the proportions, there is about a 4.55% chance of seeing the observed difference or larger by natural sampling variation. O D. P-value = 0. 091; There is about a 9.1% chance that the two proportions are equal. O E. P-value = 0.9545: there is no difference in the proportions, there is about a 95.45% chance of…