A research company wants to determine whether there is a difference in effectiveness of a brand- name ibuprofen and generic ibuprofen. What are the appropriate hypotheses for this testing scenario? Let µ1 equal the mean of the effectiveness of brand-name ibuprofen and µ2 equal the mean of the effectiveness of generic ibuprofen. Ο Ho: μ1-μ20 Hạ: H1 - H2 > 0 Ο Ho: μι- μ-0 Hạ: H1 - H2 < 0 O Ho: µ1 - µ2 = 0 Ha: H1 - µ2 # 0 O Ho: š1 – X2 = 0 Hạ: X1 - X2 > 0 O Ho: X1 – X2 = 0 Hạ: X1 - X2 + 0

10% of all Americans suffer from sleep apnea. A researcher suspects that a lower percentage of those who live in the inner city have sleep apnea. Of the 369 people from the inner city surveyed, 22 of them suffered from sleep apnea. What can be concluded at the level of significance of αα = 0.01? For this study, we should use Select an answer t-test for a population mean z-test for a population proportion  The null and alternative hypotheses would be:     Ho: ? μ p  Select an answer = < ≠ >  (please enter a decimal)    H1: ? μ p  Select an answer > ≠ < =  (Please enter a decimal) The test statistic ? z t  = (please show your answer to 3 decimal places.) The p-value = (Please show your answer to 4 decimal places.) The p-value is ? > ≤  αα Based on this, we should Select an answer reject accept fail to reject the null hypothesis. Thus, the final conclusion is that ... The data suggest the population proportion is not significantly smaller than 10% at αα = 0.01, so…

A researcher gathered a sample of participants who volunteered for a studying of phobias. She measured anxiety level of participants as they viewed photos of spiders and again when they viewed puppies. Which statistical test is appropriate for this study and why?

Cadmium, a heavy​ metal, is toxic to animals.​ Mushrooms, however, are able to absorb and accumulate cadmium at high concentrations. Some governments have a safety limit for cadmium in dry vegetables at 0.56 part per million​ (ppm). A research team measured the cadmium levels in a random sample of edible​ mushrooms, where the hypothesis test is to decide whether the mean cadmium level in the sample is greater than the​ governments' safety limit. The null and alternative hypotheses are H0​: μ=0.56 ​ppm, Ha​: μ>0.56 ppm. Complete parts​ (a) through​ (e) below. d. Now suppose that the results of carrying out the hypothesis test lead to nonrejection of the null hypothesis. Classify that conclusion by error type or as a correct decision if in fact the mean cadmium level in that type of mushrooms equals the safety limit of 0.56 ppm. Choose the correct answer below. A. type I error B. correct decision because a true null hypothesis is not rejected C. correct decision because…