The study shows that for lung cancer, less than 5% of patients were cured in Denmark and Poland, whereas more than 10% of patients were cured in Spain. To test the claim regarding proportion of cured cancer patients in Spain, a random sample of 500 patients yielded 39 who were cured. Perform the appropriate test of hypothesis to write your conclusion. Ho:p = 0.10 versus Ha:p > 0.10. Reject Ho Но:р %3D 0.10 versus Ha:p < 0.10. Accept Ho No conclusion Ho:p = 0.10 versus Ha:p > 0.10. Accept Ho
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- 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 6 months, in a sample of 115 new-car buyers, 46 have traded in their old car. The p-value for the test of whether the proportion of people who trade in their old cars to a car dealer has decreased is 0.0427. If we were to test this hypothesis at the 5% level of signficance, what can you conclude concerning the null hypothesis?An organization published an article stating that in any one-year period, approximately 8.2 percent of adults in a country suffer from depression or a depressive illness. Suppose that in a survey of 100 people in a certain town, six of them suffered from depression or a depressive illness. Conduct 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 population in the country. p' = Calculate ?x. Find the p-value.A university wants to investigate 'low-performance' modules - where low-performance is defined as a module with an average final mark lower than 50 in a given year. To test whether ECO242 is a 'low-performance' module, a researcher gathers data on final marks for 31 first ECO242 students from past years. If the mean and variance of this sample is estimated, respectively, as 48 and 38, test the hypothesis, at α=0.05, that the true mean is 50 against the hypothesis that it is less than 50. Q3: State the t-test statistic value and the critical value.
- Two popular drugs used for the treatment of depression are Resithan and Exemor. A random sample of 590 depressed individuals is selected and treated with Resithan, and 203 find relief from their depression. A random sample of 481 depressed individuals is independently selected from the first sample and treated with Exemor, and 179 find relief from their depression. Can we conclude, at the 0.05 level of significance, that the proportion p1 of depressed individuals taking Resithan who find relief from depression is less than the proportion p2 of all depressed individuals taking Exemor who find relief from depression? Perform a one-tailed test. The null hypothesis: H0: The alternative hypothesis: H1: The type of test statistic: (Choose one)ZtChi squareF The value of the test statistic:(Round to at least three decimal places.) The critical value at the 0.05 level of significance:(Round to at least three…Of a random sample of 1,200 people in Denmark, 480 had a positive attitude toward car salespeople. Of an independent random sample of 1,000 people in France, 790 had a positive attitude toward car salespeople. Test, at the 1% level the null hypothesis that the population proportions are equal, against the alternative that a higher proportion of French have a positive attitude toward car salespeople.A researcher took a random sample of 200 new mothers in the United States (Group 1) and found that 16% of them experienced some form of postpartum depression. Another random sample of 200 new mothers in France (Group 2), where mothers receive 16 weeks of paid maternity leave, found that 11% experienced some form of postpartum depression. Can it be concluded that the percent of women in the United States experience more postpartum depression than the percent of women in France? Use α=0.05. Select the correct alternative hypothesis and decision
- According to a certain government agency for a large country, the proportion of fatal traffic accidents in the country in which the driver had a positive blood alcohol concentration (BAC) is 0.33.Suppose a random sample of 109 traffic fatalities in a certain region results in 47that involved a positive BAC. Does the sample evidence suggest that the region has a higher proportion of traffic fatalities involving a positive BAC than the country at the α=0.05 level of significance?A poll reported that 63% of adults were satisfied with the job the major airlines were doing. Suppose 20 adults are selected at random and the number who are satisfied is recorded. Would it be unusual to find more than 17 who are satisfied with the job the major airlines were doing? The result is/is not unusual, because P(x>17) = _____under the assumption that the proportion of adults that are satisfied with the airlines is 63%. Thus, in 100 random samples of size 20, this result is expected in about ______ of the random samples. (Type integers or decimals. Round to four decimal places as needed.)A random sample of 802 supermarket shoppers determined that 378 shoppers preferred generic-brand items. Test at the 10% level the null hypothesis that at least one-half of all shoppers preferred generic brand items against the alternative that the population proportion is less than one-half. Find the power of a 10%-level test if, in fact, 45% of the supermarket shop- pers preferred generic brands.
- Two popular drugs used for the treatment of depression are Resithan and Exemor. A random sample of 408 depressed individuals is selected and treated with Resithan, and 192 find relief from their depression. A random sample of 520 depressed individuals is independently selected from the first sample and treated with Exemor, and 211 find relief from their depression. Can we conclude, at the 0.05 level of significance, that the proportion p1 of all depressed individuals taking Resithan who find relief from depression is greater than the proportion p2 of all depressed individuals taking Exemor who find relief from depression? Perform a one-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.)Longevity, in days, was measured in two unrelated samples of D.melanogaster flies. Researchers hypothesized that the energeticdemands of sexual activity would cause those flies to havereduced longevity. Perform all 7 steps of the appropriate hypothesis test todetermine if there is convincing evidence at α = 0.05 that sexuallyactive D. melanogaster tend to have shorter lifespans than theirsexually inactive counterparts. Sample mean Sample SD n active 38.9 12.0 25 Inactive 62.5 14.1 24Two popular drugs used for the treatment of depression are Resithan and Exemor. A random sample of 510 depressed individuals is selected and treated with Resithan, and 187 find relief from their depression. A random sample of 474 depressed individuals is independently selected from the first sample and treated with Exemor, and 152 find relief from their depression. Can we conclude, at the 0.05 level of significance, that the proportion p1 of all depressed individuals taking Resithan who find relief from depression differs from the proportion p2 of all depressed individuals taking Exemor who find relief from depression? 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