From the adult male population of four large cities, random sample of sizes given below were taken and the number of married and single men recorded. Do the data indicate any significant • variation among the cities in the tendency of men to marry ? City B C Total Married 137 164 152 147 600 Single 32 57 56 35 180 Total 169 221 208 182 780
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- Construct a sample (with at least two different values in the set) of 4 measurements whose variance is negative. If this is not possible, indicate "Cannot create sample".A quality control manager takes an SRS of 500 phone batteries from factory A, where 5% of the batteries have a defect. the manager also takes an independent SRS of 250 batteries from factory B, where 9% of proportions of the batteries have a defect. The manager will then look at the difference (B-A) between the proportions of defective batteries in each sample. What are the mean and standard deviation of the sampling distribution of the difference in sample proportions?In a certain school district, it was observed that 29% of the students in the element schools were classified as only children (no siblings). However, in the special program for talented and gifted children, 130 out of 373 students are only children. The school district administrators want to know if the proportion of only children in the special program is significantly different from the proportion for the school district. Test at the α=0.05 level of significance.What is the hypothesized population proportion for this test?
- In a certain school district, it was observed that 30% of the students in the element schools were classified as only children (no siblings). However, in the special program for talented and gifted children, 119 out of 336 students are only children. The school district administrators want to know if the proportion of only children in the special program is significantly different from the proportion for the school district. Test at the α=0.01level of significance. a. What is the hypothesized population proportion for this test? p=(Report answer as a decimal accurate to 2 decimal places. Do not report using the percent symbol.) b. Using the normal approximation for the binomial distribution (without the continuity correction), was is the test statistic for this sample based on the sample proportion? z=(Report answer as a decimal accurate to 3 decimal places.) You are now ready to calculate the P-value for this sample. P-value = (Report answer as a decimal accurate to 4 decimal places.)A high school principal wanted to know if there was a difference in absences for 9th grade, 10th grade, 11th grade, or 12th grade among students with less than a 2.0 GPA. She took a random sample of n = 5 students from each grade and compared absences among the four grades using ANOVA. The data are below: 9th grade 10th grade 11th grade 12th grade 6 9 6 7 7 10 12 11 11 14 17 8 11 14 15 15 16 12 12 12 1)Calculate the Sum of Squares total (SStot) 2) Calculate the Sum of Squares Between Groups (SSBG) 3) Calculate Sum of Squares Within Groups (SSWG) Please show work and not excel-Need help understanding and breaking it downComfort Food Magazine states the average calories of a medium size hot dog is 209. The number of calories for a medium size hot dog is normally distributed. A random sample of 15 different brands of medium size hot dogs resulted in the following calorie count provided below. Can it be concluded that the average calories of a medium size hot dog will be 209 based on level significance of 0.01?
- Among a random sample of 2739 female atom bomb survivors, 1397 developedthyroid diseases. Among 1352 male atom bomb survivors, 436 developed thyroid diseases. Use a 0.01 significance level to test the claim that female survivors and male survivors have different rates of thyroid diseases. Use the p-value method. include a diagram of the distribution indicating important components of the question.The U.S. Census Bureau conducts annual surveys to obtain information on the percentage of the voting-age population that is registered to vote. Suppose that578 employed persons and 492 unemployed persons are independently and randomly selected, and that261 of the employed persons and 194 of the unemployed persons have registered to vote. Can we conclude that the percentage of employed workers ( p1 ), who have registered to vote, exceeds the percentage of unemployed workers ( p2 ), who have registered to vote? Use a significance level of α=0.1 for the test. Step 5 of 6 : Determine the decision rule for rejecting the null hypothesis H0H0. Round the numerical portion of your answer to two decimal places.An article claimed that "those with a college degree reported a higher incidence of sunburn than those without a high school degree—45 percent versus 26 percent." For purposes of this exercise, suppose that these percentages were based on random samples of size 200 from each of the two groups of interest (college graduates and those without a high school degree). Is there convincing evidence that the proportion who experience a sunburn is higher for college graduates than it is for those without a high school degree? (Use pcollege graduates − pwithout a high school degree. Round your test statistic to two decimal places and your P-value to four decimal places.) z = P =
- According to the American Diabetes Association,23.1% of Americans aged 60 years or older haddiabetes in 2007. A recent random sample of 200Americans aged 60 years or older showed that 52 ofthem have diabetes. Using a 5% significance level,perform a test of hypothesis to determine if thecurrent percentage of Americans aged 60 years orolder who have diabetes is higher than that in 2007.In a certain school district, it was observed that 29% of the students in the element schools were classified as only children (no siblings). However, in the special program for talented and gifted children, 92 out of 265 students are only children. The school district administrators want to know if the proportion of only children in the special program is significantly different from the proportion for the school district. Test at the α=0.05α=0.05 level of significance.What is the hypothesized population proportion for this test?p=___________(Report answer as a decimal accurate to 2 decimal places. Do not report using the percent symbol.) Using the normal approximation for the binomial distribution (without the continuity correction), what is the test statistic for this sample based on the sample proportion?z=___________(Report answer as a decimal accurate to 3 decimal places.)You are now ready to calculate the P-value for this sample.P-value = _____________(Report answer as a…A manufacturer of a certain type of hardware has two manufacturing facilities and wants to compare them on the proportion of defective items produced. In a simple random sample of 200 items from facility A, 31 were defective. In a simple random sample of 215 items from Facility B,25 were defective. Test the claim that Facility B produces more defective item using a 5% significance level.