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Testing:
H0:μ=5.945H0:μ=5.945
H1:μ>5.945H1:μ>5.945
Your sample consists of 20 subjects, with a mean of 6.9 and standard deviation of 3.11.
Calculate the test statistic, rounded to 2 decimal places.
t=_____________
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- Suppose that 10,000 people are given a drug test that is 98.2% accurate and that 500 of the people actually are drug users. Using that information, complete the following chart: Accurate Error Total Nonusers (true negative) (false positive) 9500 Users (true positive) (false negative) 500 Total 9820 180 10,000 Hint: Fill out "accurate nonusers" first by looking at what percent of the total nonusers would be accurately tested. Looking only at positive results (accurate users and error nonusers), what is the probability of a false positive (error nonuser)? (Round to three decimal places.) Looking only at negative results, what is the probability of a false negative? (round to three decimal places) Would you consider this test to be accurate or not? Explain your reasoning fully.Suppose that 10,000 people are given a drug test that is 98.2% accurate and that 500 of the people actually are drug users. Using that information, complete the following chart: Accurate Error Total Nonusers (true negative) (false positive) 9500 Users (true positive) (false negative) 500 Total 9820 180 10,000Which of the following experiments does NOT have equally likely outcomes? A- Choose a number at random from 1 to 7. B- Toss a coin. C- Choose a letter at random from the word SCHOOL. D- None of the above.
- What is the probability that you are infected if a 95% accurate test returns a positive result? You are a member of a population where 2% of the people are infected.1) Select the score given by the following code from sklearn import metrics ‘Precision Score': metrics.precision_score(y_test, y_pred) Group of answer choices a. Positive Predictive Value b. Recall c. Accuracy d. Negative predictive value 2) from sklearn import metrics 'Recall Score': metrics.recall_score(y_test, y_pred) Group of answer choices a.True Positive Rate b. Accuracy c. Positive Predictive Value d. Negative predictive value 3) What the method below does?X_train, X_test, y_train, y_test = train_test_split(data.data, data.target, test_size=0.4) Group of answer choices a. produces the training data b. Splits the data into train and test subsets c. produces the target output d. produces the test dataA police academy has just brought in a batch of new recruits. All recruits are given an aptitude test and a fitness test. Suppose a researcher wants to know if there is a significant difference in aptitude scores based on a recruits’ fitness level. Recruits are ranked on a scale of 1 – 3 for fitness (1 = lowest fitness category, 3 = highest fitness category). Using “ApScore” as your dependent variable and “FitGroup” as your independent variable, conduct a One-Way, Between Subjects, ANOVA, at α = 0.05, to see if there is a significant difference on the aptitude test between fitness groups. Identify the correct values for dfbetween and dfwithin A. dfbetween = 7 dfwithin = 7 B. dfbetween = 13 dfwithin = 2 C. dfbetween = 2 dfwithin = 13 D. dfbetween = 2 dfwithin = 2
- The null and alternative hypotheses for a hypothesis test of the difference in two population proportions are: Null Hypothesis: Alternative Hypothesis: Notice that the alternative hypothesis is a one-tailed test. Suppose proportions_ztest method from statsmodels is used to perform the test and the output is (1.13, 0.263). What is the P-value for this hypothesis test? Select one. A 0.1315 B 0.263 C 1.13 D -1.13What would a student's raw score be on a test if she earned a z-score = -0.43? (Given: mean = 63; s = 7) Group of answer choices 54 57 60 63Activity 4.4.2: Expected Value In the random experiment of rolling a single six-sided die, the random variable X takes the values 1, 2, 3, 4, 5, 6, and each of these values has probability ⅙. Compute the expected value E(X). When all of the values of a random variable are equally likely, what is another name for the expected value? Recall the random experiment of rolling two four-sided dice in Activity 4.4.1, Question 1. Let X be the random variable representing the sum of the numbers indicated by the two dice. Compute the probability of each value of X. Compute E(X), the expected value of X. Write one sentence interpreting the meaning of this value in the context of rolling two four-sided dice. Recall Question 3 of Activity 4.4.1. In the street map below, compute the expected number of turns made by a commuter choosing a random direct route from point T to point B.
- Consider the following scenario: Question: "What type of ticket do you require, single or return?" IF the customer chooses "return": Ask: "What rate, Standard or Cheap-Day?" IF the customer replies "Cheap Day" Say: That will be $11.20 ELSE Say: That will be $19.50 ELSE Say: "That will be $9.75 ENDIF What is the minimum number of tests that are needed to ensure that all the questions have been asked, all combinations have occurred and all replies are given? a. 3 b. 5 c. 6 d. 4population_df = pd.read_csv('https://raw.githubusercontent.com/Explore-AI/Public-Data/master/AnalyseProject/world_population.csv', index_col='Country Code') Question 1: Population Growth The world population data spans from 1960 to 2017. We'd like to build a predictive model that can give us the best guess at what the population growth rate in a given year might be. We will calculate the population growth rate as follows:- The formula to use in calculating the growth rate is as below:- Growth_rate =( Current_year_ population - Previous_year_population) / Previous_year_population As such, we can only calculate the growth rate for the year 1961 onwards. Write a function that takes the population_df and a country_code as input and computes the population growth rate for a given country starting from the year 1961. This function must return a return a 2-d numpy array that contains the year and corresponding growth rate for the country. Function Specifications: Should take…Halloween is a celebration observed in a number of countries on 31 October, the eve of the Western Christian feast of All Hallows' Day. Halloween activities include trick-or-treating, attending Halloween costume parties, carving pumpkins into jack-o’-lanterns, lighting bonfires, apple bobbing, divination games, playing pranks, visiting haunted attractions, telling scary stories, and watching horror films. [Source: Wikipedia] Suppose the goal is to estimate the parameter stated in question 3 using a 99% confidence interval with margin of error no larger than 0.062. What is the minimum number of trick-or-treaters that would need to be selected to allow the calculation of a 99% confidence interval with margin of error no larger than 0.062? It can be assumed for this problem only that the proportion of all people who went trick-or-treating who received fruit in addition to candy is 0.16 and this number can be used for this problem. Which of the following is the correct answer answer?…