. State the null and alternative hypotheses of the following situations. 1. A nurses union claims that the average monthly salary for fresh graduate nurses in the region is 20,000, but some associations believe this is not true. Null hypotheses: Alternative hypotheses:
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A. State the null and alternative hypotheses of the following situations.
1. A nurses union claims that the average monthly salary for fresh graduate nurses in the region is 20,000, but some associations believe this is not true.
- Null hypotheses:
- Alternative hypotheses:
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- A popular uprising that started on January 25, 2011 in Egypt led to the 2011 Egyptian Revolution. Polls show that about 69% of American adults followed the news about the political crisis and demonstrations in Egypt closely during the first couple weeks following the start of the uprising. Among a random sample of 30 high school students, it was found that only 17 of them followed the news about Egypt closely during this time. (Source: Gallup Politics, Americans' Views of Egypt Sharply More Negative, data collected February 2-5, 2011).Treatment Placebo H2 A study was done using a treatment group and a placebo group. The results are shown in the table. Assume that the two samples are independent simple random samples selected from normally distributed populations, and do not assume that the population standard deviations are equal. Complete parts (a) and (b) below. Use a 0.10 significance level for both parts. 32 39 X 2.31 2.65 Is 0.83 0.52 a. Test the claim that the two samples are from populations with the same mean. What are the null and alternative hypotheses? O A. Ho: H1 = H2 H1: H1 # H2 O B. Ho: H1 H2 The test statistic, t, is| (Round to two decimal places as needed.) The P-value is (Round to three decimal places as needed.)According to the Centers of Disease Control, about 21% of American young people between the ages of 12 and 19 are obese. A student claims that the students his local schools are in better shape than the national average, so their proportion of obese students is less than 21%. Which are the appropriate null and alternative hypotheses for this study? Họ: p = 21%, H1: p = 21% Ho: p × 0, Hq: p = 0 Họ: p = 21%, Hq: p > 21% Họ: p = 21%, H,: p < 21% Suppose tnat the result of the statistical is to fail to reject Ho. Which is the proper conclusion? O There is not sufficient evidence to conclude that the students at his local schools have a smaller true proportion of obese students. O There is sufficient evidence to conclude that the students his local schools have a smaller true proportion of obese students. O There is not sufficient evidence to conclude that the students at his local schools have a smaller sample proportion of obese students. O There is sufficient evidence to conclude that…
- Consumers Energy states that the average electric bill across the state is $60.07. You want to test the claim that the average bill amount is actually greater than $60.07. What are the appropriate hypotheses for this test? Question 12 options: 1) HO: μ ≥ 60.07HA: μ < 60.07 2) HO: μ = 60.07HA: μ ≠ 60.07 3) HO: μ > 60.07HA: μ ≤ 60.07 4) HO: μ ≤ 60.07HA: μ > 60.07 5) HO: μ < 60.07HA: μ ≥ 60.0721a. Step 1: Which of the following is the correct set of hypotheses?A. H0: Cravings and relapse are not independent; and H1: Cravings and relapse are independent B. H0: Cravings and relapse are independent; and H1: Cravings and relapse are not independent C. H0: u1 = u2 = u3 = u4; and H1: At least one of the categories will be different than the others. 21b. Expected frequencies for: (round answers to 2 decimal places) Cravings-Yes/Relapse-Yes fe = _______ Cravings-Yes/Relapse-No fe = ________ 21c. Expected frequencies for: (round answers to 2 decimal place) Cravings-No/Relapse-Yes fe = _________ Cravings-No/Relapse-No fe = __________You are management for a chain of department stores. Your analytics team believes that the proportion of months with lost sales for one of your department stores is 25%. You believe it is higher than this, so you gather some data for the last 4 years. You find that for 48 months there were 17 months where there were lost sales. Do you have enough evidence to doubt your analytics team? a) What is the null hypothesis? b) What is the alternative hypothesis? c) What is the claimed population proportion? d) What is the sample proportion (called the test statistic) e) What is the std deviation f) What is the z-value of the test statistic? g) What is the p-value h) What is the conclusion in words
- b. Identify the test statistic for this hypothesis test. c. Identify the P-value for this hypothesis test.The average life expectancy of tires produced by the Whitney Tire Company has been 40,000 miles. Management believes that due to a new production process, the life expectancy of its tires has increased. In order to test the validity of this belief, the correct set of hypotheses is a. H 0: μ ≥ 40,000 H a: μ < 40,000 b. H 0: μ ≤ 40,000 H a: μ > 40,000 c. H 0: μ < 40,000 H a: μ ≥ 40,000 d. H 0: μ > 40,000 H a: μ ≤ 40,000What are the null and alternative hypotheses? A. H0: BMD is dependent upon depression in elderly men. Ha: Depression is dependent upon BMD in elderly men. B. H0: Depression and BMD in elderly men are statistically independent. Ha: Depression and BMD in elderly men are statistically dependent. C. H0: Depression and BMD in elderly men are statistically dependent. Ha: Depression and BMD in elderly men are statistically independent. Find the test statistic. χ2= (Round to three decimal places as needed.) Find the critical value. χ2α= (Round to three decimal places as needed.)
- A study is conducted examining possible differences between types of cancer for blue collar, white collar, and unemployed workers. Samples of 100 blue collar, 100 white collar, and 100 unemployed workers currently being treated for cancer are obtained. The types of cancer are classified as either Lunch, Stomach, or Other. Occupation lung stomach other Blue collar 53 17 30 White collar 10 67 23 Unemployed 30 30 40 A. State the appropriate null and alternate hypotheses for this problem. B. Calculate the test statistics. (By hand) C. Determine the rejection region. D. State the conclusion.Suppose Connie owns a pet store in a large community that has over 50,000 pet owners. She believes that the proportion of men who own cats is different from the proportion of women who own cats. Connie decides to test this claim by performing a two-sample ?-test for two proportions. Her hypotheses are given by ?0:??=???1:??≠?? where ?0 is the null hypothesis, and ?1 is the alternative hypothesis. The variables ?? and ?? represents the population proportion of men and women cat owners, respectively. She randomly samples 420 men and 493 women who are pet owners in the community and finds that 234 men own cats and 256 women own cats. Determine the pooled sample proportion, ?̂. Provide your answer precise to three decimal places. Compute the standard error of the difference of the sample proportions (SE). Provide your answer precise to three decimal places. SE = ?̂=You may need to use the appropriate appendix table or technology to answer this question. Carl Allen and Norm Nixon are two loan officers at a certain bank. The bank manager is interested in comparing the default rate on the loans approved by Carl to the default rate on the loans approved by Norm. In the sample of loans collected, there are 70 loans approved by Carl (14 of which defaulted) and 80 loans approved by Norm (9 of which defaulted). (a) State the hypothesis test that the default rates are the same for the two loan officers. (Let p1 = the population proportion of Carl's loans that default, and let p2 = the population proportion of Norm's loans that default. Enter != for ≠ as needed.) H0: Ha: (b) What is the sample default proportion for Carl? What is the sample default proportion for Norm? (c) Use a 0.05 level of significance. Calculate the test statistic. (Use p1 − p2. Round your answer to two decimal places.) What is the p-value? (Round…
