A certain study conducted in 2000 reported that reported 71.3% of men between the ages of 45 and 54 are considered overweight. (i) If a random sample of 90 men in this age group is selected, what is the probability that more than 70% of them will be overweight? (ii) If a random sample of 60 men in this age group is selected, what is the probability that between 66% and 75% of them are overweight? (iii) If a random sample of 150 men in this age group is selected, what is the probability that between 66% and 75% of them are overweight?
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A certain study conducted in 2000 reported that reported 71.3% of men between the
ages of 45 and 54 are considered overweight.
(i) If a random sample of 90 men in this age group is selected, what is the
that more than 70% of them will be overweight?
(ii) If a random sample of 60 men in this age group is selected, what is the probability
that between 66% and 75% of them are overweight?
(iii) If a random sample of 150 men in this age group is selected, what is the probability
that between 66% and 75% of them are overweight?
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- The National Academy of Science reported that 33% of research in mathematics is published by US authors. The mathematics chairperson of a prestigious university wishes to test the claim that this percentage is no longer 33%. He has no indication of whether the percentage has increased or decreased since that time. He surveys a simple random sample of 280 recent articles published by reputable mathematics research journals and finds that 108 of these articles have US authors. Does this evidence support the mathematics chairperson’s claim that the percentage is no longer 33%? Use a 0.01 level of significance. Step 1 of 3 : State the null and alternative hypotheses for the test. Fill in the blank below. H0: p = 0.33 Ha: p___ 0.33In a previous poll, 35% of adults with children under the age of 18 reported that their family ate dinner together seven nights a week. Suppose that, in a more recent poll, 1088 adults with children under the age of 18 were selected at random, and 361 of those 1088 adults reported that their family ate dinner together seven nights a week. Is there sufficient evidence that the proportion of families with children under the age of 18 who eat dinner together seven nights a week has decreased? Use the a = 0.05 significance level. are satisfied. (Round to one decimal place as needed.) What are the null and alternative hypotheses? 0.35 versus H,: p < 0.35 Ho: p (Type integers or decimals. Do not round.) Find the test statistic, zo- Z, = - 1.26 (Round to two decimal places as needed.) Find the P-value. P-value = (Round to three decimal places as needed.) Enter your answer in the answer box and then click Check Answer. Check Answer 1 Clear All 1 part remaininaIn a previous poll, 3,1% of adults with children under the age of 18 reported that their family ate dinner together seven nights a week. Suppose that, in a more recent poll, 1199 adults with children under the age of 18 were selected at random, and 350 of those 1199 adults reported that their family ate dinner together seven nights a week. Is there sufficient evidence that the proportion of families with children under the age of 18 who eat dinner together seven nights a week has decreased? Use the α = 0.05 significance level > 10 and the sample size is less than 5% of the population size, and the adults in the sample Because npo (1-Po) = 256.5 hypothesis are satisfied. (Round to one decimal place as needed.) What are the null and alternative hypotheses? ₹ 31 Ho р 31 versus H₁: = р (Type integers or decimals. Do not round.) Find the test statistic, Zo Zo= (Round to two decimal places as needed) were selected at random, all of the requirements for testing the
- A random experiment was run 23 times with groups of 24 mice. Each time the experiment was run, 4 mice were initially infected with a disease; the remaining mice were susceptible to contracting the disease. After one day, they measured the number of number of newly infected mice (not including those originally infected). They found the following frequency table: Newly infected mice Newly infected mice 4 5 6 7 8 9 10 11 Frequency 1 2 2 6 5 4 2 1 Determine the expected probability of transmission for this particular variant of disease. Round your answer to three decimal places.The National Academy of Science reported that 41% of research in mathematics is published by US authors. The mathematics chairperson of a prestigious university wishes to test the claim that this percentage is no longer 41%. He has no indication of whether the percentage has increased or decreased since that time. He surveys a simple random sample of 186 recent articles published by reputable mathematics research journals and finds that 92 of these articles have US authors. Does this evidence support the mathematics chairperson’s claim that the percentage is no longer 41%? Use a 0.05 level of significance. Step 1 of 3: State the null and alternative hypotheses for the test. circle the answer below. H0 p=0.41 ha: p⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯0.41 A.<B.≠C.> Step 2 of 3: Compute the value of the test statistic. Round your answer to two decimal places Step 3 of 3: Draw a conclusion and interpret the decision. A. We reject the null hypothesis and conclude that there is insufficient evidence at a…An article about the California lattery gave the following information on the age distribution of adults in California: 35% are between 18 and 34 years old, 51% are between 35 and 64 years old, and 14% are 65 years old or older. The artide also gave Information on the age distribution of those who purchase lottery tickets. The following table is consistent with the values given in the article. Suppose that the data resulted from a random sample of 200 lattery ticket purchasers. Based on these sample data, is it reasonable to condude that ane or more af these three age groups buys a disproportionate share of lottery tickets? Use a chi-square goodness-of-fit test with a- 0.05. (Round your answer to two decimal places.) Age of Purchaser Frequency 18-34 45 35-64 100 65 and over 55 P-value interval OpA random sample of n1 = 157 people ages 16 to 19 were taken from the island of Oahu, Hawaii, and 12 were found to be high school dropouts. Another random sample of n2 = 129 people ages 16 to 19 were taken from Sweetwater County, Wyoming, and 6 were found to be high school dropouts. Do these data indicate that the population proportion of high school dropouts on Oahu is different (either way) from that of Sweetwater County? Use a 1% level of significance. (a) What is the level of significance? What is the value of the sample test statistic? (Test the difference p1 − p2. Do not use rounded values. Round your final answer to two decimal places.) (c) Find (or estimate) the P-value. (Round your answer to four decimal places.)In a previous poll, 38% of adults with children under the age of 18 reported that their family ate dinner together seven nights a week. Suppose that, in a more recent poll, 1186 adults with children under the age of 18 were selected at random, and 428 of those 1186 adults reported that their family ate dinner together seven nights a week. Is there sufficient evidence that the proportion of families with children under the age of 18 who eat dinner together seven nights a week has decreased? Use the α = 0.01 significance level. Because npo (1-Po) = 279.4 > 10 and the sample size is (Round to one decimal place as needed.) What are the null and alternative hypotheses? но: р = 0.38 versus H₁: p (Type integers or decimals. Do not round.) Find the test statistic, Zo. < 0.38 Zo -1.36 (Round to two decimal places as needed.) = Find the P-value. P-value = (Round to three decimal places as needed.) less than 5% of the population size, and the adults in the sample were selected at random, all of…It is believed that 11% of all Americans are left-handed. A college needs to know how many left-handed desks to place in the big lecture halls being constructed on its campus. In a random sample of 210 students from that college, whether or not a student was left-handed was recorded for each student. The college wants to know if the data provide enough evidence to show that students at this college have a different percentage of left-handers than the general American population? State the random variable, population parameter, and hypotheses. State the Type I and Type II errors in the context of this problem.a) The symbol for the random variable involved in this problem is The wording for the random variable in context is as follows: b) The symbol for the parameter involved in this problem is The wording for the parameter in context is as follows: c) Fill in the correct null and alternative hypotheses: H0:H0: HA:HA:…A manufacturer of laptop computers claims that only 1% of their computers are defective. In a sample of 600 computers, it was found that 3% were defective. If the proportion of defectives were really only 1%, there would be than 1 chance in 1000 of getting such a large proportion of defective laptops in the sample. Is there statistically significant evidence against the manufacturer's claim? Why or Why not?It is believed that 11% of all Americans are left-handed. A college needs to know how many left-handed desks to place in the big lecture halls being constructed on its campus. In a random sample of 210 students from that college, whether or not a student was left-handed was recorded for each student. The college wants to know if the data provide enough evidence to show that students at this college have a higher percentage of left-handers than the general American population? State the random variable, population parameter, and hypotheses. State the Type I and Type II errors in the context of this problem.It is believed that 11% of all Americans are left-handed. A college needs to know how many left-handed desks to place in the big lecture halls being constructed on its campus. In a random sample of 210 students from that college, whether or not a student was left-handed was recorded for each student. The college wants to know if the data provide enough evidence to show that students at this college have a higher percentage of left-handers than the general American population? State the random variable, population parameter, and hypotheses. State the Type I and Type II errors in the context of this problem.SEE MORE QUESTIONS