Beet farmers claim that 76% of vegetarians like beets, while only 41% of carnivores like beets. Suppose arandom samples of 21 vegetarians and 31 carnivores are asked if they like beets. Let P, and P, be thesample proportions of vegetarians and carnivores, respectively, who like beets.Which of the following is the correct shape and justification of the sampling distribution of py- B??bimodal because one population proportion is centered at 0.76, while the other is centered at 0.41approximately Normal because the expected numbers of successes and failures for each sample are all atleast 10not approximately Normal because the expected numbers of successes and failures for each sample areall at least 10O not approximately Normal because the expected numbers of successes and failures for the vegetariangroup are not both at least 10

It is given that For vegetarians, sample size nv = 21, proportion pv = 0.76 For carnivores, sample…

Answered: Which of the following is the correct…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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A genetics experiment involves a population of fruit flies consisting of 2 males named Bart and Christopher and 2 females named Debbie and Elena. Assume that two fruit flies are randomly selected with replacement. ... a. After listing the possible samples and finding the proportion of females in each sample, use a table to describe the sampling distribution of the proportion of females. Proportion of females Probability 0 0.5 1 (Type integers or fractions.) b. Find the mean of the sampling distribution. μ= (Round to two decimal places as needed.) c. Is the mean of the sampling distribution [from part (b)] equal to the population proportion of females? If so, does the mean of the sampling distribution of proportions always equal the population proportion? OA. No, the sample mean is equal to the population proportion of females. These values are not always equal, because proportion is a biased estimator. OB. Yes, the sample mean is equal to the population proportion of females. These…
A sampling distribution (dotplot) for the mean quiz score for a sample n = 30 of STAT101 students is shown below. It was constructed using random samples from population data. If we increased our sample size from 30 to 100, would the standard error of the sample mean be larger, smaller, or the same? Explain your answer in one or two sentences.
The Census Bureau gives this distribution for the number of people in American households in 2016. Family size 1 2 4 6. 7 Proportion 0.28 0.35 0.15 0.13 0.06 0.02 0.01 Note: In this table, 7 actually represents households of size 7 or greater. But for purposes of this exercise, assume that it means only households of size exactly 7. Suppose you take a random sample of 4000 American households. About how many of these households will be of size 2? Sizes 3 to 7? The number of households of size 2 is about The number of households of size 3 to 7 is about
An amusement park keeps track of the percentage of individuals with season passes according to age category. An independent tourist company would like to show that this distribution of age category for individuals buying season passes is different from what the amusement park claims. The tourist company randomly sampled 200 individuals entering the park with a season pass and recorded the number of individuals within each age category. Age Category Child (under 13 years old) Teen (13 to 19 years old) Adult (20 to 55 years old) Senior (56 years old and over) Number of Individuals 56 86 44 14 The tourist company will use the data to test the amusement park’s claim, which is reflected in the following null hypothesis. H0:pchild=0.23H0:pchild=0.23, pteen=0.45pteen=0.45, padult=0.20padult=0.20, and psenior=0.12psenior=0.12. What inference procedure will the company use to investigate whether or not the distribution of age category for individuals with season passes is…
Let's examine the mean of the numbers 1, 2, 3, 4, 5, 6, 7, and 8 by drawing samples from these values, calculating the mean of each sample, and then considering the sampling distribution of the mean. To do this, suppose you perform an experiment in which you roll an eight-sided die two times (or equivalently, roll two eight-sided dice one time) and calculate the mean of your sample. Remember that your population is the numbers 1, 2, 3, 4, 5, 6, 7, and 8. The true mean (µ) of the numbers 1, 2, 3, 4, 5, 6, 7, and 8 is , and the true standard deviation (o) is The number of possible different samples (each of size n = 2) is the number of possibilities on the first roll (8) times the number of possibilities on the second roll (also 8), or 8(8) = 64. If you collected all of these possible samples, the mean of your sampling distribution of means (µM) would equal and the standard deviation of your sampling distribution of means (that is, the standard error or ɑm) would be The following chart…
Movie critics claim that 68% of adults and 79% of teenagers would recommend seeing the newest action movie. Suppose random samples of 43 adults and 52 teenagers are selected. Let and be the sample proportions of adult and teenage moviegoers, respectively, who would recommend this movie. Which of the following is the mean of the sampling distribution of ? –0.11 0.11 0.74 1.47
The type of household for the U.S. population and for a random sample of 411 households from a community in Montana are shown below. Type of Household Percent of U.S. Households Observed Number of Households in the Community Married with children 26% 96 Married, no children 29% 118 Single parent 9% 37 One person 25% 95 Other (e.g., roommates, siblings) 11% 65 Use a 5% level of significance to test the claim that the distribution of U.S. households fits the Dove Creek distribution. (a) What is the level of significance? State the null and alternate hypotheses. H0: The distributions are the same.H1: The distributions are the same. H0: The distributions are the same.H1: The distributions are different. H0: The distributions are different.H1: The distributions are the same. H0: The distributions are different.H1: The distributions are different. (b) Find the…
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A sampling distribution (dotplot) for the mean quiz score for a sample n = 30 of STAT101 students is shown below. It was constructed using random samples from population data. What does one dot in this dotplot represent?
At a large university, 68% of the students have a laptop, while only 43% of professors have one. Let and be the sample proportions of students and professors, respectively, who have a laptop. Suppose 56 students and 31 professors from this university are selected at random and asked if they have a laptop. Which of the following is the correct calculation and interpretation of the standard deviation of the sampling distribution of ? The difference (student – professor) in the sample proportions of those who have a laptop typically varies about 0.012 from the true difference in proportions. The difference (student – professor) in the sample proportions of those who have a laptop typically varies about 0.035 from the true difference in proportions. The difference (student – professor) in the sample proportions of those who have a laptop typically varies about 0.109 from the true difference in proportions. The difference (student – professor) in the sample proportions of those who…
According to a survey in a country, 24% of adults do not own a credit card. Suppose a simple random sample of 900 adults is obtained. Complete parts (a) through (d) below. (a) Describe the sampling distribution of p, the sample proportion of adults who do not own a credit card. Choose the phrase that best describes the shape of the sampling distribution of p below. O A. Not normal because ns0.05N and np(1-p)<10 O B. Not normal because ns 0.05N and np(1-p)2 10 O C. Approximately normal because ns0.05N and np(1 -p)< 10 O D. Approximately normal because n<0.05N and np(1-p)2 10 Determine the mean of the sampling distribution of p. HA = (Round to two decimal places as needed.) Determine the standard deviation of the sampling distribution of p. OA = (Round to three decimal places as needed.) (b) What is the probability that in a random sample of 900 adults, more than 27% do not own a credit card? The probability is (Round to four decimal places as needed.) (c) What is the probability that in…

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Which of the following is the correct shape and justification of the sampling distribution of Py -B,?