Three different treatments and four different methods are tested for their ability to control acne. What is the statistic for treatment and can you conclude that any treatments work better than others at the 5% significanc level. Method 1 Method 2 Method 3 Method 4
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- A researcher is studying two types of medication that both treat hives. 23 out of the random sample of 334 adults given medication A still had hives 30 minutes after taking the medication. 18 out of another random sample of 346 adults given medication B still had hives 30 minutes after taking the medication. Test to see if the proportion of people who still had hives after medicine A is different than the proportion of people who still had hives after medicine B. Use a 0.01 level of significance.An exercise science major is planning to investigate the hypothesis that diet plus exercise is more effective for weight loss than either diet or exercise alone. She will randomly assign participants to four different conditions based on diet (hi/lo cal) and high/low exercise level. Analysis: ? Ho: ?And conduct a two-factor ANOVA to investigate the effects of gender (The name of the variable in SPSS is "gender" and it has two levels, "male" vs. "female") and "minority classification" (In SPSS, the name of the variable is "minority", its label is "Minority Classification" ,and it has two levels "yes" and "no"; referring to whether an individual is part of a minority or not ) on beginning salary (In SPSS the name of the variable is "salbegin", and its label is "Beginning Salary). Use α = .05 a. If the main effect of Minority Classification is significant, describe the main effect of Minority Classification. Include the overall means and corresponding standard deviations in your description. Example = If there is a main effect of maternal diet, is the main effect of maternal diet significant? Why? Provide F-statistic, df of numerator, df of denominator, and p- value? Yes, the main effect of maternal diet is significant because p is less than alpha, F(1,16) = 40.67, p = .0001
- And conduct a two-factor ANOVA to investigate the effects of gender (The name of the variable in SPSS is "gender" and it has two levels, "male" vs. "female") and "minority classification" (In SPSS, the name of the variable is "minority", its label is "Minority Classification" ,and it has two levels "yes" and "no"; referring to whether an individual is part of a minority or not ) on beginning salary (In SPSS the name of the variable is "salbegin", and its label is "Beginning Salary). Use α = .05 a. What are the independent variables and what are the two levels or conditions of each independent variable? b. State the three alternative hypotheses in words. State the alternative hypothesis of the interaction in terms of whether the effects of he effect of Minority Classification on Beginning Salary depend on the levels of Gender (i.e., on whether you are a male or a female)And conduct a two-factor ANOVA to investigate the effects of gender (The name of the variable in SPSS is "gender" and it has two levels, "male" vs. "female") and "minority classification" (In SPSS, the name of the variable is "minority", its label is "Minority Classification" ,and it has two levels "yes" and "no"; referring to whether an individual is part of a minority or not ) on beginning salary (In SPSS the name of the variable is "salbegin", and its label is "Beginning Salary). Use α = .05 a.If there is a main effect of gender, is the main effect of gender significant? Why? Provide F-statistic, df of numerator, df of denominator, and p- value?And conduct a two-factor ANOVA to investigate the effects of gender (The name of the variable in SPSS is "gender" and it has two levels, "male" vs. "female") and "minority classification" (In SPSS, the name of the variable is "minority", its label is "Minority Classification" ,and it has two levels "yes" and "no"; referring to whether an individual is part of a minority or not ) on beginning salary (In SPSS the name of the variable is "salbegin", and its label is "Beginning Salary). Use α = .05 a. If the Gender by Minority Classification interaction is significant, describe the interaction. Include individual means and their corresponding standard deviations in your description.
- And conduct a two-factor ANOVA to investigate the effects of gender (The name of the variable in SPSS is "gender" and it has two levels, "male" vs. "female") and "minority classification" (In SPSS, the name of the variable is "minority", its label is "Minority Classification" ,and it has two levels "yes" and "no"; referring to whether an individual is part of a minority or not ) on beginning salary (In SPSS the name of the variable is "salbegin", and its label is "Beginning Salary). Use α = .05 a. If the main effect of Minority Classification is significant, describe the main effect of Minority Classification. Include the overall means and corresponding standard deviations in your description.And conduct a two-factor ANOVA to investigate the effects of gender (The name of the variable in SPSS is "gender" and it has two levels, "male" vs. "female") and "minority classification" (In SPSS, the name of the variable is "minority", its label is "Minority Classification" ,and it has two levels "yes" and "no"; referring to whether an individual is part of a minority or not ) on beginning salary (In SPSS the name of the variable is "salbegin", and its label is "Beginning Salary). Use α = .05 a. If there is an interaction, is the interaction significant? That is, does the effect of Minority Classification on Beginning Salary depend on the levels of Gender(i.e., on whether you are a male or a female)? Why? Provide F-statistic, df of the numerator, df of the denominator , and p-value.A researcher wants to see if four different strategies to combat work fatigue are independent of the gender of the person using them. She draws a sample of 200 office workers, half of them women and half men, and obtains data on which strategy the participants use to combat fatigue at work. The four strategies are: Consumption of caffeine, taking a short “power” nap, exercise, and consumption of sugar. Is the preference for a particular method of combating drowsiness independent of gender? what statistical test should be used and why?
- A group of 500 patients who suffer from migraine headaches is asked to participate in a study to determine the effectiveness of a new medication. The patients are divided randomly into two groups, one was given the actual medication and one received a placebo pill. After 6 months of treatment, 65% of the patients who took the medication had fewer migraines, while only 35% of those who took the placebo had fewer migraines.a. What is the treatment variable?b. What is the response (or outcome) variable?C. Was this an observational study or a controlled experiment? Explain how you knowSuppose a study was conducted to compare the sleep deprivation rates of Californians and Oregonians. The proportion of California residents who reported insufficient rest or sleep during each of the preceding 30 days is 8.8%, while this proportion is 7% for Oregon residents. These data are based on simple random samples of 1,545 California and 1,460 Oregon adult residents. a) Conduct a hypothesis test to determine if these data provide strong evidence the rate of sleep deprivation is different for the two states. Use California as Group A and Oregon as Group B.Test statistic (Round to 4 decimal places): p-value (round to 4 decimal places): Conclusion at the 5% level of significance: We accept the null hypothesis. We reject the null hypothesis. We fail to reject the null hypothesis. b) It is possible the conclusion of the test in part (a) is incorrect (contradicts with the reality). If this is the case, what type of error was made? Type I Error Type III Error Type II Error A…A group of 600 patients who suffer from seasonal allergies is asked to participate in a study to determine the effectiveness of a new medication. The patients are divided randomly into two groups, one was given the actual medication and one received a placebo pill. After 2 months of treatment, 64% of the patients who took the medication had fewer allergy symptoms, while only 36% of those who took the placebo had fewer allergy symptoms. a. What is the treatment variable? b. What is the response (or outcome) variable? c. Was this an observational study or a controlled experiment? Explain how you know. d. Assuming the rest of the study was well-designed, use your answers to discuss whether it would be reasonable to conclude that taking the new medication caused fewer allergy symptoms.