A new apparatus has been devised to replace the needle in administering vaccines. The apparatus, which is connected to a large supply of vaccine, can be set to inject different amounts of the serum, but the variance in the amount of serum injected to a given person must not be greater than .06 to ensure proper inoculation. A random sample of 49 injections was measured. If the p-value for the test is 0.5721, how do you state the conclusion?  Explain why.

A sample of N = 9 individuals participates in a repeated measures study that produces a sample mean difference of X = 4.25 with SS = 128 for the difference scores. Is this mean difference large enough to be considered a real positive effect?

Acne is a common skin disease that affects most adolescents and can continue into adulthood. A study compared the effectiveness of three acne treatments and a placebo, all in gel form, applied twice daily for 12 weeks. The study's 517 teenage volunteers were randomly assigned to one of the four treatments. Success was assessed as clear or almost clear skin at the end of the 12 week period. The results of the study can be seen in the table below. Using the appropriate statistical test, determine if there is significant evidence that the four treatments perform differently. If so, how do they compare.

Sarah thinks that she has lost interest in online shopping. Based on her shopping history, she can see that her average purchases in the past were about 4 items on average each week. Since this last month, she can now see that she has only purchased 2 items on average each week, (with a SD of 1). To determine whether her shopping habits have changed, what statistical test should be used here?

In 1965, about 44% of the u.s. adult population had never smoked cigarettes. A national health survey of 1360 u.s adults(selected randomly) during 2020 revealed that 626 had never smoked cigarettes. Using a=0.05, test whether there has been a change since 1965 in the proportion of u.s. adults that have never smoked cigarettes. State the hypothesis, list and check the conditions, calculate the test statistic, find the p-value, and make a conclusion in a complete sentence related to the scenario

A new medication is being developed to treat severe nausea and vomiting among chemotherapy patients. The information below was generated from a small sample size (n = 11) and shows the number of times a chemotherapy patient vomited both before and after treatment due to the side effects of chemotherapy. Set up and interpret the results of a sign test at the alpha equals .05 level to determine if there is a difference in symptoms before and after treatment. Chemotherapy Patient Before Treatment After Treatment Difference Sign 1 9 3     2 12 5     3 14 7     4 9 4     5 8 2     6 11 3     7 15 7     8 12 8     9 7 8     10 9 5     11 8 7     A) We fail to reject H0, which states the median difference in the number of vomiting episodes in a day before and after treatment are equal because 1 is less or equal to critical value 1 for a sign test…

The recidivism rate for convicted sex offenders is 12%. A warden suspects that this percent is different if the sex offender is also a drug addict. Of the 322 convicted sex offenders who were also drug addicts, 48 of them became repeat offenders. What can be concluded at the a = 0.01 level of significance? a. For this study, we should use z-test for a population proportion V b. The null and alternative hypotheses would be: Ho: ? v Select an answer (please enter a decimal) H1: ? v Select an answer v (Please enter a decimal) c. The test statistic ? v = (please show your answer to 3 decimal places.) d. The p-value = (Please show your answer to 4 decimal places.) e. The p-value is ? V a f. Based on this, we should Select an answer v the null hypothesis. g. Thus, the final conclusion is that ... O The data suggest the population proportion is not significantly different from 12% at a = 0.01, so there is statistically insignificant evidence to conclude that the population proportion of…

Compute the test statistic