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- A research center claims that 30% of adults in a certain country would travel into space on a commercial flight if they could afford it. In a random sample of 1200 adults in that country, 33% say that they would travel into space on a commercial flight if they could afford it. At α=0.05, is there enough evidence to reject the research center's claim? Complete parts (a) through (d) below. Identify the P-value?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 = 0.05A 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.
- Show that the mean of a random sample of size n from an exponential population is a minimum variance unbi-ased estimator of the parameter θ.A certain percentage of items produced have some defects. To estimate the defect rate p, a collection of 100 items sampled from production revealed that 10 items contained suchdefects.1. Formulate and test the appropriate null H0 and alternative hypotheses H1 to verify the claim that the defect rate is smaller than 0.15 at level α = 0.1 2. Find the P-value. Based on the P-value, can you reject H0 at level α = 0.01?Suppose that the makers of Duracell batteries want to demonstrate that their size AAbattery lasts an average of at least 45 minutes longer than Duracell’s main competitor,the Energizer. Two independent random samples of 100 batteries of each kind areselected, and the batteries are run continuously until they are no longer operational. Thesample average life for Duracell is found to be 308 minutes. The result for the Energizerbatteries is 254 minutes. Assume the entire AA batteries standard deviation 84 minutesand Duracell batteries 67 minutes. Is there evidence to substantiate Duracell’s claim thatits batteries last, on average, at least 45 minutes longer than Energizer batteries of thesame size? (assuming equal population variances)
- 2. Consider a study where students are measured on whether they had an internship during their time at WKU (Y/N) and whether they had a job at graduation (Y/N). If we wanted to test whether having an internship was associated with having a job at graduation (i.e., internship holders were more likely to have jobs), why would the chi-square test be inappropriate for this hypothesis? How should we analyze our data?A tax accountant would like to test the claim that the proportion of individuals who owe when filing their taxes is less than 0.20. If the z− test statistic was calculated as z=−2.11, does the tax accountant have enough evidence to reject the null hypothesis? Assume α=0.005. Move the blue dot to choose the appropriate test (left-, right, or two-tailed). Then, use the graph below to show the test statistic, p-value, and the rejection region to make a conclusion about the hypothesis test. powered by Move the blue dot to choose the appropriate test α=0.01 α=0.025 α=0.05 α=0.1 Significance level = 0.01 Select the correct answer below: There is enough evidence to suggest the proportion of individuals who owe when filing their taxes is less than 0.20. There is not enough evidence to suggest the proportion of individuals who owe when filing their taxes is less than 0.20. There is enough evidence to suggest the proportion of individuals who owe when filing their taxes is greater than 0.20.…To test Upper H 0: mu equals 60 versus Upper H 1: mu less than60, a random sample of size N equals 25 is obtained from a population that is known to be normally distributed. Complete parts (a) through (d) below.
- A random group of apartments was selected from a city to analyze the number of bedrooms they have. there evidence to reject the hypothesis that the apartments are equally distributed between 1-bedroom, 2 bedroom and 3-bedroom apartments , at alpha = 0.05A particular orchid species has extensions on its flowers called nectar spurs. It has been hypothesized that these spurs improve pollination by requiring long-tongued pollinators to press further against the flower in order to reach the distant nectar at the bottom of the spur. To test this, researchers shortened the spurs of 59 orchids, while leaving another 59 orchids intact as controls. After a week, they found that 10 of the shortened flowers had been pollinated, while 27 of the control flowers had been pollinated. How would you test whether there was a difference in pollination rate for shortened vs. intact flowers?A student attempted to use L’Hopital’s Rule as follows. Did the student make an error, if any, or does it state “no error”?
