n the table below. Cable 1: Number of Hours Spent in Answering Four( Self-Learning Modules in Mathematics NUMBER OF HOURS STUDENTS (x) 1 2 4 6. 8. 9. 10 11 12 13 14 15 16 17 18 19 20 N=20 %D scribe the significance of your findings.
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- Test the hypothesis that the population GPA of all students in MAT125 is not equal to 2.95. Test at the 0.05 level of significancein agenetic experiment on peas one sample of offspring contained 366 green peas and 428 yellow peas based on those results estimate the probality of getting an offspring pea that os green is the result reasnably close to the value of 3/4 that was expectedTest the given claim. Identify the null hypothesis, alternative hypothesis, test statistic, P-value, and then state the conclusion about the null hypothesis, as well as the final conclusion that addresses the original claim. Among 2198 passenger cars in a particular region, 237 had only rear license plates. Among 325 commercial trucks, 47 had only rear license plates. A reasonable hypothesis is that commercial trucks owners violate laws requiring front license plates at a higher rate than owners of passenger cars. Use a 0.05significance level to test that hypothesis.
- A survey is conducted to estimate the proportion of voters in urban and in rural areas who favor a presidential candidate. It is determined that 65 out of 105 voters from the urban areas favor the candidate while only 49 out of 95 voters from the rural areas are in favor. Can we conclude at the 0.01 level of significance that there is a significant difference between the proportions of urban and rural voters who favor the presidential candidate? Also, determine the p-value. Express the p-value in the form P[_______] = _____ or 2P[_______] = ____, whichever is applicable.In a study of 420,148 cell phone users, 136 subjects developed cancer of the brain or nervous system. Test the claim of a somewhat common belief that such cancers are affected by cell phone use. That is, test the claim that cell phone users develop cancer of the brain or nervous system at a rate that is different from the rate of 0.0340% for people who do not use cell phones. Because this issue has such great importance, use a 0.005significance level. Identify the null hypothesis, alternative hypothesis, test statistic, P-value, conclusion about the null hypothesis, and final conclusion that addresses the original claim. Use the P-value method and the normal distribution as an approximation to the binomial distribution. 1. What is the test statistic? z= _____ (Round to two decimal places as needed.) 2. What is the P-value? P-value= _____ (Round to four decimal places as needed.) 3. What is the conclusion on the null hypothesis?…The average drying time of a manufacturer’s paint is 20 minutes. Investigating the effectiveness of a modifica-tion in the chemical composition of her paint, the manu-facturer wants to test the null hypothesis μ = 20 minutes against a suitable alternative, where μ is the average dry-ing time of the modified paint. (a) What alternative hypothesis should the manufactureruse if she does not want to make the modification in thechemical composition of the paint unless it decreases thedrying time?(b) What alternative hypothesis should the manufactureruse if the new process is actually cheaper and she wants tomake the modification unless it increases the drying timeof the paint?
- In the initial test of the Salk vaccine for polio, 400,000 children were selected and divided into two groups of 200,000. One group was vaccinated with the Salk vaccine while the second group was vaccinated with a placebo. Of those vaccinated with the Salk vaccine, 33 later developed polio. Of those receiving the placebo, 115 later developed polio. Test the claim that the Salk vaccine is effective in lowering the polio rate. Use α= 0.01.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? (a) State the appropriate hypotheses with a significance level of 0.05. H0: p = 0.20Ha: p > 0.20H0: p > 0.20Ha: p = 0.20 H0: p = 0.20Ha: p < 0.20H0: p = 0.20Ha: p ≠ 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.) z=P-value= What can you conclude? Reject the null hypothesis. There is sufficient evidence that more than 20% of the population of female workers is obese.Reject the null hypothesis. There is not…indicate whether the analysis involves a statistical test. If it does involve a statistical test, state the population parameter(s) of interest and the null and alternative hypotheses. a)Giving a Coke/Pepsi taste test to random people in New York City to determine if there is evidence for the claim that Pepsi is preferred. b)Testing 100 right-handed participants on the reaction time of their left and right hands to determine if there is evidence for the claim that the right hand reacts faster than the left. c)Polling 1000 people in a large community to determine if there is evidence for the claim that the percentage of people in the community living in a mobile home is greater then 10%.
- 1. Pollution and altitude: In a random sample of 340 cars driven at low altitudes, 46 of them exceeded a standard of 10 grams of particulate pollution per gallon of fuel consumed. In an independent random sample of 85 cars driven at high altitudes, 21 of them exceeded the standard. Can you conclude that the proportion of high-altitude vehicles exceeding the standard is greater than the proportion of low-altitude vehicles exceeding the standard? State a conclusion at the α = 0.01 level of significance.A report in LTO stated that the average age of taxis in the Philippines is 9 years. An operations manager of a large taxi company selects a sample of 40 taxis and finds the average age of the taxis is 8.2 years. The σ of the population is 2.3 years. At ? = 0.05, can it be concluded that the average age of the taxis in his company is less than the national average?A test of body reaction to the Malaysian citizens who have taken their vaccine was conducted.Selected citizens who got side effect are categorised according to their blood type and the typeof vaccine received. From a sample of 250 citizens, 150 of them were administered withSinovac while the rest received AstraZeneca. Table 4 shows the number of citizens who hadside effect after being vaccinated. i) Complete Table 4 by finding the values of M and N. ii) Does different blood type among people who had side effect relate to the type of vaccinereceived at a=0.025?