In a large clinical​ trial,393,850 children were randomly assigned to two groups. The treatment group consisted of 198,023 children given a vaccine for a certain​ disease, and 37 of those children developed the disease. The other 195,827 children were given a​ placebo, and 144 of those children developed the disease. Consider the vaccine treatment group to be the first sample. If a 0.01 significance level is to be used to test the claim that p1

In the US,  45.1% of all people have type O blood,  40.9% have type A blood, 10.6% have type B blood and 3.4% have type AB blood. A researcher wants to see if the distribution of blood type is different for millionaires.  The table below shows the results of a random sample of 3564 millionaires. What can be concluded at the αα = 0.10 significance level? Complete the table by filling in the expected frequencies. Round to the nearest whole number: Outcome Frequency Expected Frequency O 1590   A 1477   B 388   AB 109   What is the correct statistical test to use?      What are the null and alternative hypotheses?H0: The distribution of blood type for millionaires is the same as it is for Americans in general. Blood type and income are independent. Blood type and income are dependent. The distribution of blood type for millionaires is not the same as it is for Americans in general. H1:  The distribution of blood type for millionaires is not the same as it is for…

When three groups were compared using the one-way Analysis of Variance (ANOVA), the result turned out to be significant, that is, the null hypothesis was rejected. What will be the appropriate interpretation of this result?A. All three groups significantly differ in means.B. Exactly two of the three groups significantly differ.C. At least two of the three groups significantly differ in means.D. All three groups have the same effect on the dependent variable.

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.

A  simple random sample of size n = 200 drivers with a valid driver's license is asked if they drive an American-made automobile. Of the 200 drivers surveyed, 118 responded that they drive an American-made automobile. Determine if a majority of those with a valid driver's license drive an American-made automobile at the a = 0.05 level of significance. .....                                                                                                                                          What type of variable is "drive an American-made automobile, or not"?                                                                      A. Qualitative with two possible outcomes                                                                                                                   B. Discrete                                                                                                                                                                     C. Continuous…

A recent national report states the marital status distribution of the male population age 18 or older is as follows: Never Married (31.5%), Married (55.7%), Widowed (2.7%), Divorced (10.1%). The table below shows the results of a random sample of 1620 adult men from California. Test the claim that the distribution from California is as expected at the a = 0.01 significance level. a. Complete the table by filling in the expected frequencies. Round to the nearest whole number: Frequencies of Marital Status Outcome Frequency Expected Frequency Never Married 507 Married 896 Widowed 46 Divorced 171 b. What is the correct statistical test to use? Select an answer c. What are the null and alternative hypotheses? OMarital status and residency are dependent. Marital status and residency are independent. The distribution of marital status in California is the same as it is nationally. OThe distribution of marital status in California is not the same as it is nationally. Marital status and…

According to a​ publication, 12.9​% of 18 to 25-year-olds were users of marijuana in 2000. A recent poll of 1378 randomly selected 18 to 25-year-olds revealed that 215 currently use marijuana. At the 2​% significance​ level, do the data provide sufficient evidence to conclude that the percentage of 18 to 25-year-olds who currently use marijuana has changed from the 2000 percentage of 12.9​%? Use the​ one-proportion z-test to perform the appropriate hypothesis​ test, after checking the conditions for the procedure.

Refer to the sample data for pre-employment drug screening shown below. If one of the subjects is randomly selected, what is the probability that the test result is a false positive? Who would suffer from a false positive result? Why? Positive test result Negative test result Drug Use Is Indicated Drug Use Is Not Indicated Subject Uses Drugs 39 14 Subject Is Not a Drug User 2 36 Pre-Employment Drug Screening Results The probability of a false positive test result is (Round to three decimal places as needed.)