A software company is interested in approving customer satisfaction rate from the 60%currently claimed. The company sponsored survey of 245 customers and found that 156 customers were satisfied What is the test statistic z
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- People often wait till middle age to worry about having a healthy heart. However, recent studies have shown that earlier monitoring of risk factors such as blood pressure can be very beneficial (The Wall Street Journal, January 10, 2012). Having higher than normal blood pressure, a condition known as hypertension, is a major risk factor for heart disease. Suppose a large sample of individuals of various ages and gender was selected and that each individual’s blood pressure was measured to determine if they have hypertension. For the sample data, the following table shows the percentage of individuals with hypertension. Develop a side-by-side bar chart with age on the horizontal axis, the percentage of individuals with hypertension on the vertical axis, and side-by-side bars based on gender. What does the display you developed in part (a), indicate about hypertension and age? Comment on differences in gender. Age Male Female 20 - 34 11.0% 9.0% 35 – 44…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)Generate two set of data of at least with ten data points using any scenario of your choice,Using the six steps of hypothesis test if there is difference in the mean and the proportion?2. Generate at least three set of data at least with ten data points using any scenario of your choice. Test if there is difference in their variances
- Most major airlines allow passengers to carry two pieces of luggage (of a certain maximum size) onto the plane. However, their studies show that the more carry-on baggage passengers have, the longer it takes to unload and load passengers. One regional airline is considering changing its policy to allow only one carry-on per passenger. Before doing so, it decided to collect some data. Specifically, a random sample of 1,000 passengers was selected. The passengers were observed, and the number of bags carried on the plane was noted. Out of the 1,000 passengers, 363 had more than one bag. Complete parts a through d below. a. Based on this sample, develop and interpret a 95% confidence interval estimate for the proportion of the traveling population that would have been impacted had the one-bag limit been in effect. Determine the confidence interval. ?? ——— ?? (Round to three decimal places as needed. Use ascending order.) Which statement below correctly interprets the…The value of the z-score in a hypothesis test is influenced by a variety of factors. Assuming that all other variables are held constant, explain how the value of z and the probability of rejecting the null hypothesis are influenced by increasing the difference between the sample mean and the original population mean.A researcher randomly sampled 30 graduates of an MBA program and recorded data concerning their starting salaries. Of primary interest to the researcher was the effect of gender on starting salaries. The result of the pooled-variance t-test of the mean salaries of the females (Population 1) and males (Population 2) in the sample is given in the accompanying table. The researcher was attempting to show statistically that the female MBA graduates have a significantly lower mean starting salary than the male MBA graduates. Which of these is an appropriate alternative hypothesis? A. H1:μfemales≠μmales B. H1:μfemales>μmales C. H1:μfemales<μmales D. H1:μfemales=μ
- An American medical team wishes to test whether passive smoking affects the chance of children contracting bronchitis. Historically, the disease has been known to occur at least once in 20% of children aged 12. The team analysed the results of a random sample of 250 12-year-old children who were passive smokers, and found that 30 of these had contracted bronchitis at least once in their lives. Use a 5% level of significance to test the claim that the proportion of children who are passive smokers is 20%. What is the null and alternate hypotheses What is the value of the test statistic from below z = 3.16 z = -3.16 z =3.89 z = -3.89 What is the p-value from below 0.0016 0.0008 0.0000 0.0001 Based on this evidence, what is the conclusionWhat Proportion of College Students Are Satisfied with Their Overall Academic Expereince? Exercise 2.16 introduces a survey of 5204 first-year full-time college students in the US. The survey was administered at the end of the first year, and 4122 of the students in the sample said that they were satisfied with their overall academic experience during the first year. Does the data from this sample provide evidence that more than 75% of US full-time students are satisfied with their overall academic experience at the end of their first year? Give all details of the hypothesis test. Test-statistic = (round to the nearest whole)p-value = (round to three decimal places)Conclusion:. Reject H0; We cannot conclude that more than 75% are satisfied. Do not reject H0; More than 75% of US students are satisfied with their overall academic experience. Do not reject H0; We cannot conclude that more than 75% are satisfied. Reject H0; More than 75% of US…A data set from a study that examined the effect of a specific diet on blood pressure is provided . Participants (n = 72) were randomly assigned either to a group that was put on the diet (Diet = Present) or to a group that was not put on the diet (Diet = Absent), and researchers wanted to know whether the diet had a significant impact on blood pressure. Fully interpret the results in the context of this study (i.e., report the conclusions as related to the research question).
- In a clinical trial to test whether a medication lowers cholesterol levels in the blood, it was given to two groups. The first group took the medication and 203 out of 350 adults showed a lower level in cholesterol levels, the second group (the control group) took a placebo and 102 out of 250 adults resulted with lower cholesterol level. Is there sufficient evidence to support this new medication lowers cholesterol levels? Show all your work and enter the test-statistic. show formulas and draw all curves.The National Academy of Science reported in a 1997 study that 40% of research in mathematics is published by US authors. The mathematics chairperson of a prestigious university wishes to test the claim that this percentage is more than 40%. He surveys a simple random sample of 130 recent articles published by reputable mathematics research journals and finds that 62 of these articles have US authors. Does this evidence support the mathematics chairperson’s claim that the percentage is more than 40%? Use a 0.10 level of significance.A recent survey asked 1200 randomly selected U.S. adults if they believe that the U.S. federal government is doing enough to keep U.S. elections safe from outside interference. Of the survey participants, 620 were men and 580 were women. The researchers wanted to know if there was a difference in how men and women responded and decided to conduct a hypothesis test. The researchers predict that there is no difference between the proportion of women (p1) and men (p2) who believe that the U.S. federal government is not doing enough to keep elections safe. Which of the following are the correct null and alternative hypotheses to test this claim? a. Ho: p1 # p2 and Ha: p1 = p2 b. Ho: p1 = p2 and Ha: p1< p2 c. Ho: p1 > p2 and Ha: p1 # p2 d. Ho: p1 = p2 and Ha: p1 # p2