(1) In a hypothesis test of Ho a = 0.05, we conclude: a). Reject Ho c). Reject Ha = 18 vs Ha> 18, we obtain a p-value of 0.016. Using b). Do not reject Ho d). Do not reject Ha μ (2) In a hypothesis test of Ho = 18 vs H₁ > 18, we obtain a p-value of 0.016. Using a = 0.05, we conclude: a). There is evidence that u = 18 b). There is evidence that > 18 c). There is no evidence of anything.
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- A news article reported that the college students who have part-timne jobs work an thought that the average might be different from 15 hours per week for their college. Data were collected on the number of hours per week for a average of hours per week. The staff of a college newspaper 15 random sample of students at the college who have part-time jobs. The test were used to test the hypotheses: Ho: u=15 H u+15, where u is the mean number of hours worked per week for all students at the college with part-time jobs. The results of the test are shown in the table. df t-stat p-value 13.755 3.535 25 -1.761 0.090 Assuming all conditions for inference were met, a g5% confidence interval for u is: 13.755±ME MF s the margin of error. What is the ME? where %24This is the result of Chi Square test between 2 variables: gender and length of service. If the Null Hypothesis is stated as "There is no significant association between gender and length of service", then table above will clearly allow us to conclude that "there is no significant association between gender and length of service". A. True B. FalseTwo researchers conduct separate studies to test Ho: p=0.50 against Ha: p0.50, each with n = 400. Researcher A gets 225 observations in the category of interest, and p=225/400 =0.5625. Researcher B gets 227 in the category of interest, and p=227/400 = 0.5675. Complete parts (a) through (e) below. A ... OB. Hypothesis tests that produce similar P-values always have the same conclusion. OC. Hypothesis tests that result in the same conclusion do not necessarily have the same P-value. D. A difference in conclusions between two hypothesis tests does not necessarily mean that the test with the result that is deemed "statistically significant" is actually much more significant than the test with the result that is deemed "not statistically significant." d. From part a, part b, and part c, explain why important information is lost by reporting the result of a test as "P-value ≤0.05" versus "P-value > 0.05," or as "reject Ho" versus "Do not reject Ho," instead of reporting the actual P-value.…
- A random sample (n=16) is obtained from a population with a mean of 70, and a treatment is administered. After treatment, the sample mean is found to be M = 75 and the sample variance is 81. Conduct a one-sample t test (alpha = .05, two-tailed). a) State the null and alternative hypotheses in SYMBOLS only. Null: Alternative: b) What is the critical t? c) What is the observed t-statistic? d) Are there significant differences between the sample and the population? (yesor no) e) Should we reject the null or fail to reject the null? f) Calculate variance explained (r2):1. The incidence of cancer among phosphate mine workers and their exposure to radiation was investigated. Cancer incidence was recorded among 60 phosphate mine workers who had 0-29 working level months (WLM) of exposure, 60 phosphate mine workers who had 30-89 WLM of exposure, and 60 phosphate mine workers who had 90-120 WLM of exposure. The number of cancer incidences for each group are presented in Table 1. Table 1: Two-way Table of Counts Cancer Incidence Exposure Level Yes No Total 0-29 WLM 20 40 60 30-89 WLM 33 27 60 90-120 WLM 43 17 60 Total 96 84 180 Perform a x? test, at the 5% level of significance, whether cancer incidence rates differ between the three levels of radiation among phosphate mine workers.A random sample of 500 adult residents of Maricopa County found that 361 were in favor of increasing the highway speed limit to 75 mph, while another sample of 400 adult residents of Pima County found that 292 were in favor of the increased speed limit. Do these data indicate that there is a difference in the support for in increasing the speed limit between the residents of the two counties? Use a = 0.05. (a) Test the hypothesis Ho: P₁ = P2 versus H₁: P₁ P2. What is zo? Round your answer to two decimal places (e.g. 98.76). Zo = (b) Is it reasonable to conclude that there is a difference in the support for increasing the speed limit between the residents of the two counties?
- Chicken diet and weight. In previous chapter, we compared the effects of two types of feed at a time. A better analysis would first consider all feed types at once: casein, horsebean, linseed, meat meal, soybean, and sunflower. The ANOVA output below can be used to test for differences between the average weights of chicks on different diets. DF Sum Sq Mean Sq F value Pr(>F) feed 231129.16 46225.83 15.36 0.0000 residuals 65 195556.02 Conduct a hypothesis test to determine if these data provide convincing evidence that the average weight of chicks varies across some (or all) groups. Make sure to check relevant conditions. Figures and summary statistics are shown below. 3008.55 400 350- 300 250 200 150 - 100 casein horsebean linseed meatmeal soybean sunflower Mean SD casein 323.58 64.43 12 horsebean 160.2 38.63 10 linseed 218.75 52.24 meatmeal 276.91 64.9 11 soybean 246.43 54.13 14 sunflower 328.92 48.84 12 What aro tho hu Weight (in grams) O21T2a test statistic of z=1.45 was calculated to test the following hypothesis Ho:p=0.10, Ha: p not equal 0.10. show the calculations of the p value for the hypothesis test and make your conclusion using a=0.05Qa) attached below Qb) attached below Qc) ? (alpha) = ? Qd) ? (beta) = ?
- Suppose U.S. consumers 21 years and older consumed 26.3 gallons of beer and cider per person during 2017. A distributor in Milwaukee believes that beer and cider consumption are higher in that city. A sample of consumers 21 years and older in Milwaukee will be taken, and the sample mean 2017 beer and cider consumption will be used to test the following null and alternative hypotheses: Ho: Hs 26.3 Ha: u > 26.3 (a) Assume the sample data led to rejection of the null hypothesis. What would be your conclusion about consumption of beer and cider in Milwaukee? Conclude that the population mean annual consumption of beer and cider in Milwaukee is less than or equal to 26.3 gallons and hence lower than throughout the United States. Conclude that the population mean annual consumption of beer and cider in Milwaukee is greater than 26.3 gallons and hence lower than throughout the United States. Conclude that the population mean annual consumption of beer and cider in Milwaukee is less than or…The proportion of defective items is not allowed to be over 12%. A buyer wants to test whether the proportion of defectives in his shipment of 1000 items exceeds the allowable limit. The buyer takes a SRS of 100 items and finds that 19 are defective. State the null and alternative hypotheses for this test. Group of answer choices Ho: p = 0.12 vs Ha: p > 0.12 Ho: p = 0.19 vs Ha: p ≠ 0.12 Ho: p = 0.12 vs Ha: p < 0.19 Ho: p = 0.12 vs Ha: p = 0.196) Decide whether the null hypothesis should be rejected when a = 0.05 and the P-value = 0.045.