Research by Harvard Medical School experts suggests that boys are more likely to grow out of childhood asthma when they hit their teenage years. Scientists followed over 1000 children between ages of 5 and 12, all of whom had mild to moderate asthma. By the age of 18, 14% of girls and 27% of boys seems to have grown out of asthma. Suppose their analysis was based on 500 girls and 500 boys. (a) Do the hypothesis testing at 5% level of significance to test whether the proportion of boys who grow out of asthma in their teenage years is more than that of girls. (b) Find beta(0.30, 0.15)

An analyst from the UK Office of Statistics is investigating the provision of social support services throughout the city of Manchester. For each borough in the city they will establish the required level of support based on the percentage of residents below the poverty line. They take a random sample of 122 individuals in the borough of Bury and find that 25 have annual net-income below the poverty line. The analyst will decide to provide Bury with additional social services support if the sample data provides sufficient evidence that the true proportion of people living below poverty line is greater than 17%. A test of hypothesis is conducted. What is the null hypothesis? The true proportion of Bury inhabitants below the poverty line is lower than 0.17. The true proportion of Bury inhabitants below the poverty line is greater than 0.17. The sample proportion of Bury inhabitants below the poverty line is lower than 0.17. The sample proportion of Bury inhabitants below the poverty…

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.

USA Today ran a report about a UNC poll of 1248 adults from the southern U.S. It was reported that 8% of those surveyed believe that Elvis Presley still lives. The article began with the claim that "almost 1 out of 10" Southerners still thinks Elvis is alive. At the 0.01 significance level, test the claim that the true percentage is 10%.

What is the population of interest? And what are the hypotheses?

Dental health issues remain a barrier to attendance, as evidenced by a 2010 Los Angeles School Attendance Review Board (SARB), which lists dental health, along with homelessness, in the top barriers to attendance. The Dental Hygiene program at West Los Angeles College collects data on its clinic patients to help instructors and students better understand their patient population. From July 2017 to December 2019 the program treated 3421 patients. Students were asked to analyze a random sample of 127 patients from that time period and found that 36.4% had severe periodontal disease (infections and inflammation of the gums and bone that surround and support the teeth). Identify the population: Identify the sample: Identify the parameter of interest: Identify the statistic:

If a researcher rejects the null hypothesis when conducting a hypothesis test, it means that the sample data failed to provide sufficient evidence to conclude that the treatment had an effect.  true or false

Homechooling has become very popular in the United States, and many colleges try to attract students from this group. Evidence suggests that approximately 90% of all homeschooled children attend college. To check this claim, a random sample of 208 homeschooled children was obtained, and 180 of them were found to have attended college. The researcher wishes to determine whether the proportion of homeschool children who attend college is different from 0.90. Test an appropriate hypothesis and state your conclusion. Make sure to state and check all conditions and state your conclusion in context.

Your elderly grandfather prefers to ride the city bus, and many of his friends do as well.  However, you also notice that many elderly people use rideshare apps like Lyft and Uber.  You want to know whether elderly people are more likely to use the bus, or rideshare apps for transportation, but you notice that there’s no published data suggesting an answer.  You create a one-way chi square analysis and recruit 130 participants for your sample.  What is the expected frequency for the number of elderly people in your sample who prefer the bus?

The dataset "nurses" is a random sample of 1,000 cases from “Health Care Provider Credential Data” from Washington State Open Data Portal. In the sample, there are 418 CNA's and 278 of the CNA's have expired credentials. Use the statistics from the nurses dataset to answer the following question: "With 90% confidence, what percent of all CNA's on Washington State's healthcare provider list are expired?"