n a large clinical​ trial, 391,847 children were randomly assigned to two groups. The treatment group consisted of 194,085 children given a vaccine for a certain​ disease, and 31 of those children developed the disease. The other 197,762 children were given a​ placebo, and 99 of those children developed the disease. Consider the vaccine treatment group to be the first sample. If a 0.10 significance level is to be used to test the claim that p1 < p2 what confidence level should be used?

A random sample of 400 residents are asked if they are in favor of the proposed 10% vanity tax that will raise badly needed revenue for infrastructure development. If 300 are in favor, test the hypothesis that more than 60% of the voters are in favor of the proposed tax. Using a 0.01 level of significance, what is the appropriate test statistic? Ot=6.12 Ot=-6.12 Oz=6.12 OZ=-6.12

Suppose that in a random selection of 100100 colored​ candies, 2323​% of them are blue. The candy company claims that the percentage of blue candies is equal to 2525​%. Use a 0.100.10 significance level to test that claim.

A company claims that at least 94% of equipment supplied to a manufacturer is within specifications. A test of a sample of 200 pieces of equipment showed that 27 of them were faulty. Test their claim at the 5% significance level?

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…

Consider a drug testing company that provides a test for marijuana usage. Among 266 tested​ subjects, results from 27 subjects were wrong​ (either a false positive or a false​ negative). Use a 0.10 significance level to test the claim that less than 10 percent of the test results are wrong.

In the previous year, 40% of women over the age of fifty had regularly scheduled mammograms. Following last year's test, a campaign was initiated to encourage women to be tested regularly. This year, a cancer research group surveys a random sample of 450 women, and 195 respond affirmatively. With a 5% significance level, test to see if the campaign was effective.