Records of randomly selected births were obtained and categorized according to the day of the week that they occurred (based on data from the national center for health statistics). Because babies are unfamiliar with our schedule of weekdays, a reasonable claim is that births occur on the different days with equal frequency. Use a 0.01 significance level to test that claim.

The table below summarizes data from a survey of a sample of women. Using a 0.01 significance​ level, and assuming that the sample sizes of 900 men and 400 women are​ predetermined, test the claim that the proportions of​ agree/disagree responses are the same for subjects interviewed by men and the subjects interviewed by women. Does it appear that the gender of the interviewer affected the responses of​ women?                 Gender of Interviewer         Man Woman     Women who agree   625 330     Women who disagree   275 70     Compute the test​ statistic, rounding to three decimal places. Find the critical​ value(s). (Round to three decimal places) What is the conclusion based on the hypothesis​ test?

Every year during home football games the Carroll College fans do push-up contests to see how many they can do. Suppose that a curious stats student in the stands kept track of the number of push-ups completed for several students of both genders. Males 31 31 24 18 30 16 28 13 26 23 Females 16 11 10 1 26 26 6 9 16 32 Consider the hypothesis that males in this contest can do more pushups than females. Use an  significance level to test the claim.  The test statistic is   Construct a 99% confidence interval for the mean of the differences between males and females.

An article compared five different methods for teaching descriptive statistics. The five methods were traditional lecture and discussion, programmed textbook instruction, programmed text with lectures computer instruction, and computer instruction with lectures. 60 students were randomly assigned, 12 to each method. After completing the course, students took a 1-hour exam. We are interested in finding out if the average test scores are different for the different teaching methods.   The p-value of the test is 0.0372. What is the conclusion of the test if the level of significance is αα=0.10? There is enough evidence to conclude that all five group means are significantly different from each other.   There is not enough evidence to conclude that all five group means are sigificantly different from one another.   There is enough evidence to conclude that at least one group mean is significantly different from others.   There is not enough evidence to conclude that at least one…