14. California Daily 4 Lottery The author recorded all digits selected in California's Daily 4 Lottery...
In a three-digit lottery, each of the three digits is supposed to have the same probability of occurrence (counting initial blanks as zeros, e.g., 32 is treated as 032). The table shows the frequency of occurrence of each digit for 90 consecutive daily three-digit drawings. Frequency 21 2 23 28 4 5 30 30 28 Total 270 picture Cli (a) Calculate the chi-square test statistic, degrees of freedom, and the p-value. (Perform a uniform goodness-of-fit test. Round your test statistic...
., In a three-digit lottery, each of the three digits is supposed to have the same probability of occurrence (counting initial blanks as zeros, e.g., 32 is treated as 032). The table shows the frequency of occurrence of each digit for 90 consecutive daily three-digit drawings Frequency 34 32 30 25 27 29 24 18 25 26 2 4 6 Total 270 (a) Calculate the chi-square test statistic, degrees of freedom, and the p-value. (Perform a uniform goodness-of-fit test. Round...
The accuracy of a census report on a city in southern California was questioned by some government officials. A random sample of 1215 people living in the city was used to check the report, and the results are shown below. Ethnic Origin Census Percent Sample Result Black 10% 130 Asian 3% 35 Anglo 38% 462 Latino/Latina 41% 516 Native American 6% 62 All others 2% 10 Using a 1% level of significance, test the claim that the census distribution and...
The accuracy of a census report on a city in southern California was questioned by some government officials. A random sample of 1215 people living in the city was used to check the report, and the results are shown below. Ethnic Origin Census Percent Sample Result Black 10% 128 Asian 3% 45 Anglo 38% 478 Latino/Latina 41% 492 Native American 6% 60 All others 2% 12 Using a 1% level of significance, test the claim that the census distribution and...
alo Is the lottery fair? Power ball is a multistate lottery in which players try to guess the numbers that will turn up in a drawing of numbered balls. One of the balls drawn is the "Powerball." Matching the number drawn on the Powerball increases one's winnings. In a 17 month period, the Power ball was drawn from a collection of 35 balls numbered 1 through 35. A total of 153 drawings were made. For the purpose of this exercise,...
You are conducting a multinomial hypothesis test (α = 0.05) for the claim that all 5 categories are equally likely to be selected. Complete the table. Category Observed Frequency Expected Frequency A 10 B 5 C 21 D 14 E 8 What is the chi-square test-statistic for this data? χ2= What are the degrees of freedom for this test? d.f.= What is the p-value for this sample? (Report answer accurate to four decimal places.) p-value = Is the P-Value... A....
Is the lottery fair? Power ball is a multistate lottery in which players try to guess the numbers that will turn up in a drawing of numbered balls. One of the balls drawn is the "Powerball." Matching the number drawn on the Powerball increases one's winnings. In a 17 month period, the Power ball was drawn from a collection of 35 balls numbered 1 through 35. A total of 146 drawings were made. For the purpose of this exercise, we...
You are conducting a multinomial hypothesis test (αα = 0.05) for the claim that all 5 categories are equally likely to be selected. Complete the table. Category Observed Frequency Expected Frequency Squared Pearson Residual A 21 B 12 C 16 D 8 E 24 Report all answers accurate to three decimal places. But retain unrounded numbers for future calculations. What is the chi-square test-statistic for this data? (Report answer accurate to three decimal places, and remember to use the unrounded...
Assume that a simple random sample has been selected and test the given dlaim. Use the P-vatue method for testing hypotheses. Identify the null and alternative hypotheses, test statistic, P. value, and state the final condlusion that addresses the original claim. The ages of actresses when they won an acting award is summarized by the statistics n = 79 和35.5 years, and s . 11.6 years. use a 001 s age of actresses when they win an acting award is...
Randomly selected birth records were obtained, and categorized as listed in the table to the right. Use a 0.01 significance level to test the reasonable claim that births occur with equal frequency on the different days of the week. How might the apparent lower frequencies on Saturday and Sunday be explained? DAY SUN MON TUES WED THURS FRI SAT NUMBER OF BIRTHS 39 56 62 55 55 61 50 1. Determine the null and alternative hypotheses. Ho = H1 =...