what is the critical value and z value ?
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A: p1 = 352/1100 = 0.32 p2 = 275/1100 =0.25
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A: Hypothesis to be tested: H0:p=0.24Ha:p≠0.24 Sample proportion: p^=xn=38224=0.1696
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Q: Use the following scenario to answer the next 6 questions: M&Ms are your favorite vending machine…
A: Given Information Claim:- 24% of the candies per bag should be blue p = 0.24 n = 224, x = 38
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A medical researcher wishes to see if hospital patients in a large hospital have the same blood type distribution as
those in the general population. The distribution for the general population is as follows: type A, 20%; type B, 28%; type O,
26%; and type AB =26%. He selects a random sample of 50 patients and finds the following: 10 have type A blood, 10 have type
B, 23 have type O, and 7 have type AB blood.
alo
At a =0.05, can it be concluded that the distribution is the same as that of the general population? Use the critical value method
with tables.
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- A company is started by four friends. The company was Erica’s idea, so she wants to fill 70% of the orders. Jen, Heather, and Tonya each agree to fill 10% of the orders. After a successful first year, Erica wants to determine if the distribution of the number of orders filled is adhering to the agreed-upon percentages. To do so, she selects a random sample of 100 orders from the large number of orders that were filled and determines who filled the order. What is the name of the appropriate inference procedure? chi-square test for goodness of fit one-sample t-test for a difference in means two-sample t-test for a difference in means two-sample z-test for a difference in proportionsA study is conducted in a large high school to determine if the proportion of students who plan to come to the upcoming football game differs across the grades. A random sample of 50 ninth graders, 50 tenth graders, 50 eleventh graders, and 50 twelfth graders was selected. The responses are displayed in the table. The principal would like to know if these data provide convincing evidence that the distribution of responses differs across the grades in the population of all students in her school. The random and 10% conditions are met, and this table of expected counts shows that all expected counts are at least 5. What is the value of the chi-square test statistic for this test? χ‑2 = 0.49 χ‑2 = 0.70 χ‑2 = 0.84 χ‑2 = 200An article about the California lottery 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 article 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 lottery ticket purchasers. Based on these sample data, is it reasonable to conclude that one or more of these three age groups buys a disproportionate share of lottery tickets? Use a chi-square goodness-of-fit test with ? = 0.05. Age of Purchaser Frequency 18–34 36 35–64 130 65 and over 34 Calculate the test statistic. (Round your answer to two decimal places.) ?2 = Use technology to calculate the P-value. (Round your answer to four decimal places.) P-value = What can you conclude? The data strong evidence to conclude…
- Suppose that a consultant is helping the owner of a local jewelry store set prices for a sale. The owner is considering applying a discount to its most popular engagement ring, currently priced at $1500. The consultant wants to determine if the average amount consumers spend on similar engagement rings is more than $1500. To do this, she selects a random sample of 15 other jewelry stores in the area and records the prices of engagement rings with a similar style, cut, and weight. The prices of these rings are shown below. $1400, $1230, $1450, $1175, $1850, $1060, $1390, $1260, $2850, $1580, $1500, $1850, $1770, $1400, $1775 Using this sample data, she calculates a mean of $1569.33 and a standard deviation of $432.16 and plans to use this information to conduct a one-sample t-test of Ho μ = $1500 against H₁ μ> $1500. Is this an appropriate use of a one-sample t-test? No, because the sample contains an outlier. Yes, because the population is normally distributed. Yes, because the data…A student selects a random sample of 145 students from her large high school. For each student, she records the grade level and their favorite type of pet. She would like to know if there is convincing evidence that grade level is associated with type of pet. Let a = 0.05. The observed and expected counts are displayed in the tables. Observed counts: Pet Dog Cat Bird Other Ninth and Tenth 21 15 8 30 Grades Eleventh and Grade 24 12 11 24 Twelfth Grades Expected counts: Pet Dog Cat Bird Other Ninth and Tenth 23.0 13.8 9.7 27.6 Grades GradeAn 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 Op.Pick the Test (Z-test, Single Sample T-test, Independent Sample T-test, Paired Sample Ttest, ANOVA): Suppose that two brands of gasoline were being compared for mileage. Samples of each brand were used in identical cars under identical conditions. Nine tests were made of Brand I and six tests of Brand II. Are the two brands significantly different? Test:The instructor takes a random sample of size from the population data and obtains the following sample data: x 405 385 495 385 555 470 5 If we take random samples of size n = 6 from this population, the number of possible samples is: a 11,481,019,312 b 11,367,345,853 c 11,254,797,874 d 11,143,364,232The World Bank collects information on the life expectancy of a person in each country ("Life expectancy at," 2013) and the fertility rate per woman in the country ("Fertility rate," 2013). The data for 12 randomly selected countries for the year 2011 are shown in the table below. Table: Data of Fertility Rates versus Life Expectancy Fertility Rate Life Expectancy 1.7 77 5.8 55 2.2 70 2.1 76 1.8 75 2.0 78 2.6 73 1.5 81 6.9 54 2.9 72 4.7 63 6.8 57 The most commonly used type of correlation is Pearson correlation, named after Karl Pearson, introduced around the turn of the 20th century. Pearson's r measures the linear relationship between two variables, say X and Y. Find the Pearson’s correlation coefficient for the above data In reference to the calculated correlation coefficient above, describe the strength of the correlation. Briefly give an explanation to meaning of the above results. Obtain the…Below are the numbers of patients classified as underweight, normal weight, overweight and obese according to their diabetes status. If a patient is selected at random: What proportion of normal weight patients are not diabetic? What proportion of patients are normal weight or underweight? Underweight Normal Weight Overweight Obese Row Totals Diabetic 8 34 65 43 150 Not Diabetic 12 85 93 40 230 Column Totals 20 119 158 83 380Use the following scenario to answer the next 6 questions: M&Ms are your favorite vending machine snack and you purchase them often. Lately, it seems like the bags have been having a disproportionate distribution of the colors. The company claims that 24% of the candies per bag should be blue. You decide to test this claim for yourself. You purchase a large bag and find that 38 of the 224 candies are blue. Before complaining to the company, you want to be fairly sure of your accusation, so you set a 1% significance level for your test. Do you have sufficient evidence that the color distribution is different than advertised? In this scenario, the decision to use a two-tailed versus a one-tailed test affected our ability to reject the null (and thus our conclusion). Group of answer choices True FalseMs. Truman has always provided her statistics students with a small index card for each exam. The students are permitted to write whatever they want on the index card and use it on the exam. She decides to conduct an experiment to investigate if the distribution of grades will be different if she provides students with a large index card. She has 80 students in her statistics classes this year. She randomly assigns 40 students to receive the typical small index card and 40 students to receive a large index card to use on the upcoming exam. The results of the exam are displayed in the tables. Observed counts: Expected counts: She would like to test these hypotheses: H0: There is no difference in the distribution of grades for all students like these who use a small or large index card.Ha: There is a difference in the distribution of grades for all students like these who use a small or large index card. The conditions for inference are met. What is the value of the chi-square test…SEE MORE QUESTIONS
