A common characterization of obese individuals is that their body mass index is at least 30 [BMI-weight/(height)2, where height is in meters and weight is in kilograms]. An article reported that in a sample of female workers, 269 had BMIs of less than 25, 156 had BMIs that were at least 25 but less than 30, and 121 had BMIs exceeding 30. Is there compelling evidence for concluding that more than 20% of the individuals in the sampled population are obese? LAUSE SALT (a) State the appropriate hypotheses with a significance level of 0.05. ⒸH: D-0.20 H:D 0.20 OH: D-0.20 H:D > 0.20 OH:D > 0.20 H₁: p=0.20 OH: D-0.20 H:D <0.20 Calculate the test statistic and determine the P-value. (Round your test statistic to two decimal places and your P-value to four decimal places.) " P-value- What can you conclude? O Reject the null hypothesis. There is sufficient evidence that more than 20% of the population of female workers is obese. O Do not reject the null hypothesis. There is sufficient evidence that more than 20% of the population of female workers is obese. O Do not reject the null hypothesis. There is not sufficient evidence that more than 20% of the population of female workers is obese. O Reject the null hypothesis. There is not sufficient evidence that more than 20% of the population of female workers is obese. (b) Explain in the context of this scenario what constitutes type I error. OA type I error would be declaring that 20% or less of the population of female workers is obese, when in fact more than 20% are actually obese. A type I error would be declaring that 20% or more of the population of female workers is obese, when in fact less than 20 % are actually obese. O A type I error would be declaring that less than 20% of the population of female workers is obese, when in fact 20% or more are actually obese. O A type I error would be declaring that more than 20% of the population of female workers is obese, when in fact 20% or less are actually obese. 102 IBALUNOMATTEWAYS Explain in the context of this scenario what constitutes type II error. OA type II error would be declaring that 20% or less of the population of female workers is obese, when in fact more than 20% are actually obese. O A type II error would be declaring that 20% or more of the population of female workers is obese, when in fact less than 20% are actually obese. O A type II error would be declaring that less than 20% of the population of female workers is obese, when in fact 20% or more are actually obese. A type II error would be declaring that more than 20% of the population of female workers is obese, when in fact 20% or less are actually obese. (c) What is the probability of not concluding that more than 20% of the population is obese when the actual percentage of obese individuals is 23%? (Round your answer to four decimal places.)

Bone mineral density (BMD) is a measure of bone strength. Studies show that BMD declines after age 45. The impact of exercise may increase BMD. A random sample of 59 women between the ages of 41 and 45 with no major health problems were studied. The women were classified into one of two groups based upon their level of exercise activity: walking women and sedentary women. The 39 women who walked regularly had a mean BMD of 5.96 with a standard deviation of 1.22. The 20 women who are sedentary had a mean BMD of 4.41 with a standard deviation of 1.02. Which of the following inference procedures could be used to estimate the difference in the mean BMD for these two types of women

The Weschler Intelligence Scale for Children (WISC) is an intelligence test designed for children between the ages of 6 and 16. The test is standardized so that the mean score for all children is 100 and the standard deviation is 15. Suppose that the administrators of a very large and competitive school district wish to estimate the mean WISC score for all students enrolled in their programs for gifted and talented children. They obtained a random sample of 40 students currently enrolled in at least one program for gifted and talented children. The test scores for this sample are as follows:   117,142,112,99,107,109,109,121,121,125,116,123,110,105,110,111,95,128,103,106, 155,98,100,123,107,137,115,127,102,106,121,113,109,128,103,105,130,134,112,102 Click to download the data in your preferred format.     CrunchIt!    CSV   Excel   JMP   Mac Text    Minitab   PC Text   R   SPSS   TI Calc   Use this data to calculate the mean WISC score, x¯, for these 40 students. Next, compute the…

Suppose the total weight of passengers and luggage on an airline flight is normally distributed with mean 8914 and standard deviation 32 What is the 2.28th percentile of total passenger weight