(a) State the null hypothesis H, and the alternative hypothesis H1. Ho :0 H :0 (b) Determine the type of test statistic to use. |(Choose one) O=0 OSO O20 (c) Find the value of the test statistic. (Round to three or more decimal places.) O
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- What is meant by the sample space of an experiment?English Air continually monitors the proportion of overweight items checked by passengers on its flights in order to evaluate the appropriateness of their overweight fees. Recently, a random sample of 231 items checked on English Air flights to North America contained 44 overweight items, and an independent, random sample of 248 items checked on English Air flights within Europe contained 29 overweight items. Based on these samples, can we conclude, at the 0.10 level of significance, that there is a difference between the proportion p1 of all items on English Air flights to North America that are overweight and the proportion p2 of all items on English Air flights within Europe that are overweight? Perform a two-tailed test. Then complete the parts below. Carry your intermediate computations to three or more decimal places and round your answers as specified in the parts below. (If necessary, consult a list of formulas.)A scientist selected a random sample of seven varieties of peach ice cream to investigate the relationship between the density, in pounds per cubic inch, of the varieties of ice cream and the percent concentration of peaches in the ice cream. Assuming all conditions for inference are met, which of the following significance tests should be used to investigate whether there is convincing evidence at the 0.05 level of significance that a greater percent of peaches in the ice cream is associated with an increase in the density of the ice cream? A. A two-sample t-test for a difference between means B. A chi-square test of independence C. A linear regression t-test for slope D. A two-sample z-test for a difference between proportions E. A matched pairs t-test for a mean difference
- A researcher was interested in the relationship between a swimmer’s hand length and corresponding time to complete the 100-meter freestyle. The researcher selected a random sample of twenty swimmers from all participants in a swim competition. Assuming all conditions for inference are met, which of the following significance tests should be used to investigate whether there is convincing evidence, at a 5 percent level of significance, that a longer hand length is associated with a decrease in the time to complete the 100-meter freestyle?A large manufacturing company investigated the service it received from its suppliers and discovered that, in the past, 41% of all material shipments were received late. However, the company recently installed a just-in-time system in which suppliers are linked more closely to the manufacturing process.A random sample of 150 deliveries since the just-in-time system was installed reveals that 29 deliveries were late. If we want to test whether the proportion of late deliveries was reduced significantly at α = 0.10. Calculate the null and alternative hypothese.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 (at the 10% level of significance) whether the proportion of new car buyers that trade in their old car has this is  statistically significantly decreased, what can you conclude concerning the null hypothesis? A) reject the null hypothesis Or B) fail to reject the null hypothesis
- An American medical team wishes to test whether passive smoking affects the chance of children contracting bronchitis. Historically, the disease has been known to occur at least once in 20% of children aged 12. The team analysed the results of a random sample of 250 12-year-old children who were passive smokers, and found that 30 of these had contracted bronchitis at least once in their lives. Use a 5% level of significance to test the claim that the proportion of children who are passive smokers is 20%. What is the null and alternate hypotheses What is the value of the test statistic from below z = 3.16 z = -3.16 z =3.89 z = -3.89 What is the p-value from below 0.0016 0.0008 0.0000 0.0001 Based on this evidence, what is the conclusionA researcher was interested in comparing the resting pulse rates of people who exercise regularly and of those who do not exercise regularly. Independent simple random samples of 16 people who do not exercise regularly and 12 people who exerciseregularly were selected, and the resting pulse rates (in beats per minute) were recorded. The summary statistics are as follows. Use a 0.025 significance level to test the claim that the mean resting pulse rate of people who do not exercise regularly is larger than the mean resting pulse rate of people who exercise regularly. a)Identify the null hypothesis, alternative hypothesis. b)Find the test statistics c)Find the critical value d)Conclusion about the null hypothesis e)State the conclusionA computer manufacturer believes that the proportion of hardware malfunctions is different in humid climates than in dry climates. To test this claim, the manufacturer takes a random sample of 400 machines sold in Florida (humid) and 400 machines sold in Arizona (dry). The manufacturer finds that 44 of the machines in Florida and 24 of the machines in Arizona had hardware malfunctions. Compute the p-value. Does the evidence support the computer manufacturer's claim at the 10% significance level?