The Education Ministry claims that the dropout rate for Form 6 students in their country is less than 20%. Last year, 18 students from a random sample of 100 Form 6 students withdrew. At α = 0.05, is there enough evidence to support the ministry’s claim?
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The Education Ministry claims that the dropout rate for Form 6 students in their
country is less than 20%. Last year, 18 students from a random sample of 100
Form 6 students withdrew. At α = 0.05, is there enough evidence to support the
ministry’s claim?
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- The National Institute of Mental Health published an article stating that in any two-year period, approximately 10.5percent of American adults suffer from depression or a depressive illness. Suppose that in a survey of 150 people in a certain town, eight of them suffered from depression or a depressive illness. If you were conducting 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 American population, what would the null and alternative hypotheses be?A survey of 90 recently delivered women on the rolls of a county welfare department revealed that 27 had a history of intrapartum or postpartum infection. Can we conclude that the population proportion with a history of intrapartum or postpartum infection is significantly less than or equal to 0.25? Let alpha = 0.05.Historically, the proportion of people who trade in their old car to a car dealer when purchasing a new car is 48%. Over the previous six months, in a sample of 115 new car buyers, 46 have traded in their old car. To determine whether the proportion of new car buyers that trade in their old car has this is sickly significantly decreased, what is the null and alternative hypothesis?
- A survey of 90 recently delivered women on the rolls of a county welfare department revealed that 27 had a history of intrapartum or postpartum infection. Can we conclude that the population proportion with a history of intrapartum or postpartum infection is less than or equal to 0.25. Let alpha = 0.05The NAEP considers that a national average of 283 is an acceptable performance. Using α = .05, run a two-tail t-test for one sample to test Ho: µ=283 for the 2019 scores. Report the t-obt, df, and p-values. Would you reject the null hypothesis that the 2019 scores come from a population with average 283? If this is the case, does it come from a population from larger or smaller average?A consumer group is investigating a producer of diet meals to examine if its prepackaged meals actually contain the advertised 6 ounces of protein in each package. Based on the following data, is there any evidence that the meals do not contain the advertised amount of protein? Run the appropriate test at a 5% level of
- 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 = 38 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 = 49 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. 1. 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.) 2. Find (or estimate) the P-value. (Round your answer to four decimal places.)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…