According to Current Population Reports, published by the U.S. Census Bureau, 51.8% of U.S. adults are female, 10.2% are divorced, and 6.0% are divorced females. For a U.S. adult selected at random, let F = event the person is female, and D = event the person is divorced. (a) Obtain P(F), P(D) and P(F and D) (b) Determine P(F or D)
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According to Current Population Reports, published by the U.S. Census Bureau, 51.8% of U.S.
adults are female, 10.2% are divorced, and 6.0% are divorced females. For a U.S. adult selected at random, let
F =
D = event the person is divorced.
(a) Obtain P(F), P(D) and P(F and D)
(b) Determine P(F or D)
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- According to an article in a recently published medical journal, one-third of all sets of triplets consist of all females, one-fourth are all male sets, and the remaining sets are of mixed gender. A simple random sample of 78 sets of triplets born in the past 20 years is obtained from hospital records. The results are presented below. Gender make-up of triplets 1: All female 2: All male 3: Mixed gender Total 10 11 57 78 What would be the null hypothesis for a chi-square test for testing if the claim made in the medical journal is indeed true? Ho: P1 = P2 = P3 = 5/12, where P₁, P2, and p3 represent the proportions of all female, all male, and mixed gender triplets, respectively Ho: P₁ = 1/3, P2 = 1/4, and p3 = 5/12, where p₁, P2, and p3 represent the proportions of all female, all male, and mixed gender triplets, respectively Ho: P1 1/4, P2 1/4, and p3 = 5/12, where p₁, P2, and p3 represent the proportions of all female, all male, and mixed gender triplets, respectively.In a survey of consumers aged 12 and older, respondents were asked how many cell phones were in use by the household. (No two respondents were from the same household.) Among the respondents, 211answered "none,"289 said "one," 373 said "two," 143 said "three," and 138 responded with four or more. A survey respondent is selected at random. Find the probability that his/her household has four or more cell phones in use. Is it unlikely for a household to have four or more cell phones in use? Consider an event to be unlikely if its probability is less than or equal to 0.05.According to an article in a recently published medical journal, one-third of all sets of triplets consist of all females, one-fourth are all male sets, and the remaining sets are of mixed gender. A simple random sample of 78 sets of triplets born in the past 20 years is obtained from hospital records. The results are presented below. Gender make-up of triplets 1: All female 2: All male 3: Mixed gender Total 10 11 57 78 What would be the null hypothesis for a chi-square test for testing if the claim made in the medical journal is indeed true? Group of answer choices H0: p1 = 1/3, p2 = 1/4, and p3 = 5/12, where p1, p2, and p3 represent the proportions of all female, all male, and mixed gender triplets, respectively H0: p1 = p2 = p3 = 5/12, where p1, p2, and p3 represent the proportions of all female, all male, and mixed gender triplets, respectively H0: p1 = 1/4, p2 = 1/4, and p3 = 5/12, where p1, p2, and p3 represent the proportions of all…
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- A survey indicates that 20% of parents use spanking as a discipline strategy. Among those parents who spank, 70% believe a kid should always obey the parent. Among those parent who do not spank, 10% believe a kid should always obey the parent. Which of the following gives the probability that a randomly selected parent believe that a kid should always obey the parent? a) (0.2)(0.7) + (1-0.2)(0.1) b) (0.2)(0.7) + (0.2)(0.2) c) 0.7 + 0.1 d) 0.2 + 0.7An article summarizes a report of law enforcement agencies regarding the use of social media to screen applicants for employment. The report was based on a survey of 734 law enforcement agencies. One question on the survey asked if the agency routinely reviewed applicants' social media activity during background checks. For purposes of this exercise, suppose that the 734 agencies were selected at random, and that you want to use the survey data to decide if there is convincing evidence that more than 25% of law enforcement agencies review applicants' social media activity as part of routine background checks. The sampling distribution of p̂ describes the behavior of p̂ when random samples are selected from a particular population. Describe the shape, center, and spread of the sampling distribution of p̂ for samples of size 734 if the null hypothesis H0: p = 0.25 is true. (Round your answers to three decimal places.)Five thousand people were classified by their generation and their top pick for food cuisine. The results are provided below. American Chinese Italian Mexican Millennials & Gen Z 300 380 220 1600 Gen X 200 250 100 450 Baby Boomer & Older 450 150 525 375 As needed, state answers to four significant figures. If a person is randomly selected, what is the probability that the person is A member of Gen X? A Millennial/Gen Z or had a top pick of Mexican Food? A Baby Boomer/Older and had a top pick of Italian Food? A Gen X given that the person picked American Food? Picked Chinese Food given that the person is a Millennial/Gen Z?
