Suppose that we fail to reject a null hypothesis at the 0.01 level of significance. Then for which of the following a-values do we also fail to reject the null hypothesis? А. 0.2 ОВ. 0.1 O C. 0.005 D. 0.015
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- In a study to estimate the proportion of residents in a city that support the construction of a new bypass road in the vicinity, a random sample of 900 residents were polled. Let X+/900/2 X denote the number in the sample who supported the proposal. To estimate the true proportion in support of the plan, we can compute îi The estimator p has 900 bias OA. 1/900. ОВ. 30/2. OC. 1/(2 x 30). OD. 0, so unbiased. OE. 1/30.A Hollywood studio believes that a movie that is considered a drama will draw a larger crowd on average than a movie that is considered a comedy. To test this theory, the studio randomly selects several movies that are classified as dramas and several movies that are classified as comedies and determines the box office revenue for each movie. The results of the survey are as follows. Do the data substantiate the studio's belief that dramas will draw a larger crowd on average than comedies at α = 0.05? Let dramas be Population 1 and comedies be Population 2. Assume that the population variances are approximately equal. Box Office Revenues (Millions of Dollars) n x S Drama 14 150 50 Comedy 11 120 30 Copy Data Step 2 of 3: Compute the value of the test statistic. Round your answer to three decimal places.A Hollywood studio believes that a movie that is considered a drama will draw a larger crowd on average than a movie that is considered a comedy. To test this theory, the studio randomly selects several movies that are classified as dramas and several movies that are classified as comedies and determines the box office revenue for each movie. The results of the survey are as follows. Do the data substantiate the studio's belief that dramas will draw a larger crowd on average than comedies at α = 0.05? Let dramas be Population 1 and comedies be Population 2. Assume that the population variances are approximately equal. Box Office Revenues (Millions of Dollars) Drama Comedy n x S 14 150 50 11 120 30 Copy Data Step 1 of 3: State the null and alternative hypotheses for the test. Fill in the blank below. Ho M₁ M₂ = 0 Ha:μ₁-1₂. .0
- Can you please answer 3A, and 3BA doctor recorded the number of miles walked each day by patients over age 60 and the number of doctor visits in a year for 40 patients. The resulting data were used to conduct a hypothesis test to determine whether there is a linear relationship between the number of miles walked and the number of doctor visits. What are the correct hypotheses for the test?An internet provider wants to see if male and female college students spend a different amount of time online each day. In a random sample of 200 male college student shows the mean was 85 minutes with σ = 15 minutes. Another sample of 250 female college students has a mean of 81 minutes and σ = 17 minutes. Is there enough evidence to prove the claim at α = .05.
- Suppose that X is a random variable with mean 30 and standard deviation 4. Y is a random variable with mean 50 and standard deviation 8. Assume the correlation between X and Y is 0. Find the varience and standard deviation of random variable Z for each of the following cases. 1) Z= 35-10X 2) Z= X+Y 3) Z= -2X - 2YFor a chi-square goodness-of-fit test for the one-way table, which of the following is a valid null hypothesis? #3 C E There is no relationship between blood type and hair color in the population. Oл₁-0.25, л₂ = 0.5, л3 = 0.5 Oл₁= 0.3, л₂ = 0.4, л3 = 0.3 D $ 4 R tv F Q Search or enter address % e 5 T G 6 MacBook Pro Y & 7 A H + U * 00 8 J 1 ( 9Suppose a group of 800 smokers (who all wanted to give up smoking) were randomly assigned to receive an
- According to Facebook’s self-reported statistics, the average Facebook user has 130 Facebook friends. For a statistics project a student at Contra Costa College tests the hypothesis that CCC students will average more than 130 Facebook friends. She randomly selects 3 classes from the schedule of classes and distributes a survey in these classes. Her sample contains 45 students. Here are the null and alternative hypotheses for her study: H0: µ = 130, Ha: µ > 130. What does µ represent in these hypotheses? multiple choice: choose the answer please mean number of Facebook friends for the average user mean number of Facebook friends for the CCC students in her sample mean number of Facebook friends for CCC students1. A Random Variable X can take only two values, 1 and 2 .P(1) = 0.8 and P(2) = 0.2 Calculate the Expected value of X. 2. A Random Variable X can take only two values, 1 and 2. P(1) = 0.8 and P(2) = 0.2 Calculate the Variance of X 3. A lottery that pays off 100,000 pesos is made available for 5,000,000 tickets. Each ticket costs 50 pesos. Suppose the variable X gives the net winnings from playing the lottery. What is the expected gain for joining the lottery with only one ticket? 4. In a deck of cards which consists of cards numbered 1 to 5, a card is drawn randomly. A player wins 35 pesos if the number on the card is odd and loses 35 pesos if the number on the card is even. What is the expected value of his winnings?Select the true statement(s). In a hypothesis test concerning a population mean when the population standard deviation & is unknown, the p value can never be determined. In a hypothesis test concerning a population mean when the population standard deviation o is unknown, there are only three possible alternative hypotheses. In a hypothesis test concerning a population mean when the population standard deviation o is unknown with alternative hypothesis H₁ μ> Mo, the value of the test statistic will always be greater than 0. The hypothesis test concerning a population mean when the population standard deviation & is unknown is valid only when the underlying population is normal. In a hypothesis test concerning a population mean when the population standard deviation o is unknown, the test statistic is based on the standard normal distribution when the sample size is greater than 30. G In a hypothesis test concerning a population mean when the population standard deviation & is unknown,…
