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A: topic- implicit differentiation
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- An organization published an article stating that in any one-year period, approximately 11.5 percent of adults in a country suffer from depression or a depressive illness. Suppose that in a survey of 100 people in a certain town, nine of them suffered from depression or a depressive illness. Conduct a hypothesis test to determine if the true proportion of people in that town suffering from depression or a depressive illness is lower than the percent in the general adult population in the country. Calculate σx. (Round your answer to three decimal places.)/ Show the formula set-up. State the distribution to use for the hypothesis test. Find the p-value. (Round your answer to four decimal places.)A cellphone provider has the business objective of wanting to determine the proportion of subscribers who would upgrade to a new cellphone with improved features if it were made available at a substantially reduced cost. Data are collected from a random sample of 500 subscribers. The results indicate that 124 of the subscribers would upgrade to a new cellphone at a reduced cost. Reducing the price will be profitable if at least 20% of the subscribers would upgrade. Complete parts (a) and (b) below. Question content area bottom Part 1 a. At the 0.05 level of significance, is there evidence that more than 20% of the customers would upgrade to a new cellphone at a reduced cost? Determine the null hypothesis, H0, and the alternative hypothesis, H1. A. H0: π≥0.20 H1: π<0.20 B. H0: π≠0.20 H1: π=0.20 C. H0: π≤0.20 H1: π>0.20 D. H0: π=0.20 H1: π≠0.20 What is the test statistic? ZSTAT=enter your response…The world bank reports that one. 7% of the US population lives unless than two dollars per day. A policy maker claims that this number is misleading because of variations from state to state and rural to urban. To investigate that she takes a random sample of 100 households in Atlanta to compare with the national average and finds at two. One percent of the Atlanta population live on less than two dollars per day. Select the Noel an eternity of hypothesis to test weather Atlanta differ significantly from the national percentage.
- A cellphone provider has the business objective of wanting to determine the proportion of subscribers who would upgrade to a new cellphone with improved features if it were made available at a substantially reduced cost. Data are collected from a random sample of 600 subscribers. The results indicate that 131 of the subscribers would upgrade to a new cellphone at a reduced cost. Reducing the price will be profitable if at least 20% of the subscribers would upgrade. Complete parts (a) and (b) below. Question content area bottom Part 1 a. At the 0.01 level of significance, is there evidence that more than 20% of the customers would upgrade to a new cellphone at a reduced cost? Determine the null hypothesis, H0, and the alternative hypothesis, H1. A. H0: π=0.20 H1: π≠0.20 B. H0: π≥0.20 H1: π<0.20 C. H0: π≤0.20 H1: π>0.20 D. H0: π≠0.20 H1: π=The so-called PEFR score (Peak Expiratory Flow Rate) is a measure used to measure lung function in asthma patients. The higher the value, the better the lungs function. The theory has long been that walking in cold weather has a positive effect on lung function. To investigate this theory, the Directorate of Health decided to conduct a study in which six asthma patients were randomly selected and allowed to walk outside in cold weather for one hour. Their PEFR score was measured before the walk and again after the walk, one hour later. The data can be seen below. Asthma patient number PEFR score before PEFR score after 1 300 312 2 201 342 3 232 340 4 312 388 5 220 296 6 256 254 PEFR scores in asthma patients can be expected to follow normal distribution. Justify which test is appropriate for this data to see if walking in cold weather for an hour has a positive effect on the lung function of asthma patients. Use α = 0.05. Present the hypotheses, examine the hypothesis…The Us food and Drug administration has a limit for mercury content in fish of 1.0ppm (parts per million) while in Canada the limit is 0.5 ppm. Using the variable average mercury in the Florida lakes dataset to test whether there is evidence that average mercury level of fish ( large mouth Bass) in Florida lakes is less than 1.0ppm and whether there is evidence that average mercury level of fish in Florida lakes is less than 0.5ppm. STATE THE NULL AND ALTERNATIVE HYPOTHESES? GIVE THE TEST STATISTICS AND P-VALUE? round the test statistic to two decimal places and the p-value to three decimal places. DOES THIS SAMPLE PROVIDE EVIDENCE THAT THE AVERAGE MERCURY LEVEL OF FISH (LARGE MOUTH BASS) IN FLORIDA LAKES IS LESS THAN 1.0PPM? LESS THAN 0.5 PPM : STATE THE NULL AND ALTERNATIVE HYPOTHESES. GIVE THE TEST STATISTICS AND P-VALUE ? round the test statistic to two decimal places and the p-value to three decimal places. DOES THIS SAMPLE PROVIDE EVIDENCE THAT THE AVERAGE MERCURY…
- A research center claims that more than 25 % of employees in a certain country have changed jobs in the past four years. In a random sample of 260 people from that country, 78 have changed jobs in the past four years. At alpha equals0.05 , is there enough evidence to support the center's claim? Complete parts (a) through (e) below. (a) Identify the claim and state Upper H 0 and Upper H Subscript a . Identify the claim in this scenario. Select the correct choice below and fill in the answer box to complete your choice. (Type an integer or a decimal. Do not round.) A. At most nothing % of employees in the country have changed jobs in the past four years. B. More than nothing % of employees in the country have changed jobs in the past four years. C. nothing % of employees in the country have changed jobs in the past four years. D. The percentage of employees in the country who have changed jobs…The 2019-2020 flu season was especially tough. By the end of the season, an estimated total of 49 million people in the United States had contracted the flu, of whom an estimated 79,000 died from the flu. Assume that the US population was 300,000,000 during the 2019-2020 flu season and that during the season, a total of 2.9 million Americans died from all causes (including the flu). Assume the population of the US remained the same at the midpoint of the season. Report mortality rates per 100,000. Be sure to express the measure in the correct format. a.What was the proportionate mortality rate from flu during the 2019-2020 flu season? b.What was the case fatality rate from flue during the 2019-2020 flu season?The 2019-2020 flu season was especially tough.By the end of the season, an estimated total of 49 million people in the United States had contracted the flu, of whom an estimated 79,000 died from the flu. Assume that the US population was 300,000,000 during the 2019-2020 flu season and that during the season, a total of 2.9 million Americans died from all causes (including the flu). Assume the population of the US remained the same at the midpoint of the season. Report mortality rates per 100,000. Be sure to express the measure in the correct format. c.What was the flu-related mortality rate during the 2019-2020 flu season? d.What is the all-cause mortality rate during the 2019-2020 flu season? e.In a country with an age distribution that is much younger than in the US, the proportionate mortality rate from flu in 2019 was 5%. Based on this information alone, can we determine that the risk of dying from flu in 2019 was higher in this country compared to the US? Why or why not?
- Researchers at the FDA are interested in the effectiveness of a generic pain-relieving drug compared to that of a brand-name drug on the basis of the length of time between drug administration and pain cessation. They plan to test the generic drug on 36 randomly selected subjects with pain symptoms. If the generic drug has significantly shorter length of time to pain cessation then researchers will recommend sale of the generic drug. The brand-name drug is known to relieve symptoms at 1.5 hours, on average, after administration of the drug with a population standard deviation of 0.25 hours. It is assumed that the time to cessation on the generic drug has the same standard deviation of the brand name drug. They intend to perform a two-sided hypothesis test at the 3% significance level. (a) What are the null and alternative hypotheses? Be sure to define the population parameter of interest. (b) Suppose that the data have been collected and the researchers found enough evidence to…Calculateaconfidenceinterval for the me-dian ofthe second population.Select your confidenc eleve land reportit with your answer.??Please SOLVE On paper this Prob stat problem