A survey found that 76% of the men questioned preferred computer-assisted instruction to lecture and 85% of the women preferred computer-assisted instruction to lecture. There were 100 randomly selected individuals in each sample. At α = 0.05, test the claim that there is no difference in the proportion of men and the proportion of women who favor instruction over lecture.
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A survey found that 76% of the men questioned preferred computer-assisted instruction to lecture and 85% of the women preferred computer-assisted instruction to lecture. There were 100 randomly selected individuals in each sample. At α = 0.05, test the claim that there is no difference in the proportion of men and the proportion of women who favor instruction over lecture.
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- Based on information from a previous study, r1 = 38 people out of a random sample of n1 = 104 adult Americans who did not attend college believe in extraterrestrials. However, out of a random sample of n2 = 104 adult Americans who did attend college, r2 = 48 claim that they believe in extraterrestrials. Does this indicate that the proportion of people who attended college and who believe in extraterrestrials is higher than the proportion who did not attend college? Use ? = 0.01. (a) What is the level of significance?State the null and alternate hypotheses. H0: p1 = p2; H1: p1 > p2H0: p1 = p2; H1: p1 < p2 H0: p1 = p2; H1: p1 ≠ p2H0: p1 < p2; H1: p1 = p2 (b) What sampling distribution will you use? What assumptions are you making? The Student's t. The number of trials is sufficiently large.The standard normal. The number of trials is sufficiently large. The Student's t. We assume the population distributions are approximately normal.The standard normal. We assume the…Based on information from a previous study, r1 = 34 people out of a random sample of n1 = 105 adult Americans who did not attend college believe in extraterrestrials. However, out of a random sample of n2 = 105 adult Americans who did attend college, r2 = 50 claim that they believe in extraterrestrials. Does this indicate that the proportion of people who attended college and who believe in extraterrestrials is higher than the proportion who did not attend college? Use ? = 0.01. (a) What is the level of significance?State the null and alternate hypotheses. H0: p1 = p2; H1: p1 ≠ p2H0: p1 < p2; H1: p1 = p2 H0: p1 = p2; H1: p1 < p2H0: p1 = p2; H1: p1 > p2 (b) What sampling distribution will you use? What assumptions are you making? The Student's t. The number of trials is sufficiently large.The standard normal. We assume the population distributions are approximately normal. The standard normal. The number of trials is sufficiently large.The Student's t. We assume the…Based on information from a previous study, r1 = 39 people out of a random sample of n1 = 105 adult Americans who did not attend college believe in extraterrestrials. However, out of a random sample of n2 = 105 adult Americans who did attend college, r2 = 50 claim that they believe in extraterrestrials. Does this indicate that the proportion of people who attended college and who believe in extraterrestrials is higher than the proportion who did not attend college? Use ? = 0.01. What is the value of the sample test statistic? (Test the difference p1 − p2. Do not use rounded values. Round your final answer to two decimal places.)(c) Find (or estimate) the P-value. (Round your answer to four decimal places.)
- A large research project showed that in a sample of 750 adults, 60 of them experienced a midlife crisis . Use this data to test the claim that the percentage of adults who experienced midlife crisis is less than 10%. Use (alpha)= 0.05 .Based on information from a previous study, r1 = 38 people out of a random sample of n1 = 106 adult Americans who did not attend college believe in extraterrestrials. However, out of a random sample of n2 = 106 adult Americans who did attend college, r2 = 52 claim that they believe in extraterrestrials. Does this indicate that the proportion of people who attended college and who believe in extraterrestrials is higher than the proportion who did not attend college? Use α = 0.01. (a) What is the level of significance? What is the value of the sample test statistic? (Test the difference p1 − p2. Do not use rounded values. Round your final answer to two decimal places.)(c) Find (or estimate) the P-value. (Round your answer to four decimal places.)Based on information from a previous study, r1 = 30 people out of a random sample of n1 = 107 adult Americans who did not attend college believe in extraterrestrials. However, out of a random sample of n2 = 107 adult Americans who did attend college, r2 = 46 claim that they believe in extraterrestrials. Does this indicate that the proportion of people who attended college and who believe in extraterrestrials is higher than the proportion who did not attend college? Use ? = 0.01.
- In a sample of 88 children selected randomly from one town, it is found that 8 of them suffer from asthma. Find the P-value for a test of the claim that the proportion of all children in the town who suffer from asthma is equal to 11%.In a public opinion survey, 60 out of a sample of 100 high income voters and 40 out of a sample of 75 low income voters supported a decrease in value added tax VAT. Conclude at the 5% level of significance that the proportion of voters favoring a VAT Degrees difference between high and low income voters. (Where P1 is the proportion of all high income voters who is supported a decrease in VAT, p2 is the same for the low income voters ). The value of the test statistic to test the hypothesis is _____ and hence _____ A. T = - 0.668,accept H0 B. T = - 4.117,reject H0 C. Z= 0.882,accept H0 D. T = 2.313,reject H0 E. Z = 0.882,reject H0Based on information from a previous study, r1 = 37 people out of a random sample of n1 = 97 adult Americans who did not attend college believe in extraterrestrials. However, out of a random sample of n2 = 97 adult Americans who did attend college, r2 = 46 claim that they believe in extraterrestrials. Does this indicate that the proportion of people who attended college and who believe in extraterrestrials is higher than the proportion who did not attend college? Use α = 0.01. What is the value of the sample test statistic? (Test the difference p1 − p2. Do not use rounded values. Round your final answer to two decimal places.)(c) Find (or estimate) the P-value. (Round your answer to four decimal places.)
- In a clinical study, a random sample of 540 participants agree to have their blood drawn, which is to be examined for the presence of antibodies against a certain contagious disease. It is found in 22% of the blood samples, which experimenters hope to extrapolate to the general population. From this random sample, 10 participants' blood samples are selected at random. If X is the number of samples out of the 10 who have these antibodies, what can we say about X? A. The sample size is not large enough for us to approximate X using a normal distribution B.The expected value of X is 22 C. X can be approximated using a normal distribution in lieu of a binomial distribution D. X has a sampling distribution that is normalA sample of 100 randomly selected children under the age of 12 showed that the average amount of time a child spends watching TV every day is 2.7 hours. The value of test statistic ( along with decision) to test the claim that the average time a child spends watching is greater than 2.6 hours ( assume alpha = 0.6 and alpha 0.01), is:In a public opinion survey, 60 out of a sample of 100 high-income voters and 40 out of a sample of 75 low-income voters supported a decrease in value-added tax, VAT. Conclude at the 5% level of significance that the population of voters favouring a VAT decrease differs between high- and low-income voters. (Where p1 is the proportion of all high-income voters who supported a decrease in VAT; p2 is the same for the low-income voters). The rejection region to test the above hypothesis at the 5% significance level (rounded off to two decimals) is: A. T < -1.96 B. T < -1.64 or Z > 1.64 C. Z < -1.96 or Z > 1.96 D. Z < -1.64 E. None of the preceding