In a study of cell phone usage and brain hemispheric dominance, an Internet survey was e-mailed to 6,991 subjects randomly selected from an online group involved with ears. There were 1,308 surveys returned. Use a 0.01 significance level to test the claim that the return rate is less than 20%. Use the P-value method and use the normal distribution as an approximation to the binomial distribution.Identify the null hypothesis and alternative hypothesis.- Option A: \( H_0: p < 0.2 \) \( H_1: p = 0.2 \)- Option B: \( H_0: p = 0.2 \) \( H_1: p < 0.2 \)- Option C: \( H_0: p > 0.2 \) \( H_1: p = 0.2 \)- Option D: \( H_0: p = 0.2 \) \( H_1: p > 0.2 \)- Option E: \( H_0: p \neq 0.2 \) \( H_1: p = 0.2 \)- Option F: \( H_0: p = 0.2 \) \( H_1: p \neq 0.2 \)The test statistic is \( z = \underline{\hspace{2cm}} \) (Round to two decimal places as needed.)The P-value is \(\underline{\hspace{2cm}}\) (Round to three decimal places as needed.)Because the P-value is \(\underline{\hspace{3cm}}\) the significance level, \(\underline{\hspace{3cm}}\) the null hypothesis. There is \(\underline{\hspace{3cm}}\) evidence to support the claim that the return rate is less than 20%.(Note: This template guides users in identifying the correct hypothesis and calculating the test statistic and P-value in hypothesis testing.)

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Answered: In a study of cell phone usage and…

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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In a random sample of males, it was found that 24 write with their left hands and 219 do not. In a random sample of females, it was found that 60 write with their left hands and 459 do not. Use a 0.01 significance level to test the claim that the rate of left-handedness among males is less than that among females. Complete parts (a) through (c) below. O Identify the test statistic. (Round to two decimal places as needed.) Identify the P-value. P-value= (Round to three decimal places as needed.) What is the conclusion based on the hypothesis test? The P-value is the significance level of a= 0.01, so males is less than that among females. HEDD the null hypothesis. There evidence to support the claim that the rate of left-handedness among
Researchers measured skulls from different time periods in an attempt to determine whether interbreeding of cultures occurred. Results are given below. Assume that both samples are independent simple random samples from populations having normal distributions. Use a 0.05 significance level to test the claim that the variation of maximal skull breadths in 4000 B.C. is the same as the variation in A.D, 150. 4000 B.C. 30 131.91 mm 5.18 mm A.D. 150 30 136.44 mm 5.36 mm O B. Ho: of ±o? H1: of = o3 O D. Hoi of = 0} O A. Ho: oi = 03 OC. Ho:o =03 H,: of 203 Identify the test statistic. F= (Round to two decimal places as needed.) Use technology to identify the P-value. The P-value is (Round to three decimal places as needed.) What is the conclusion for this hypothesis test?
A new shampoo is being test-marketed. A large number of 16 ounce bottles were mailed out at random to potential customers in the hope that the customers will retuen an enclosed questionnaire. Out of tbe 1500 returned questionnaires, 975 indicated that they like the shampoo and will consider buying ir when it becomes available on the market. Perform a hypothesis to determine if the proportion of potential customers is at most 65 percent. Use a level of significance of 0.05.
Find the expected count under the null hypothesis. 19. A sociologist was interested in determining if there was a relationship between the age of a young adult (18 to 35 years old) and the type of movie preferred. A random sample of 93 adults revealed the following data. Use a Chi-Square independence test to determine if age and type of movie preferred are independent at the 5% level of significance. 30-35 years old Totals 24-29 years old 15 18-23 years old Drama 8. 11 34 Science Fiction 12 10 8. 30 8. 12 29 Comedy Totals 29 33 31 93 Provided the assumptions of the test are satisfied, find the expected number of 24-29 year-olds who prefer comedies under the null hypothesis. a) 8 b) 11.56 c) 10.29 d) 7.34
The following data are from a completely randomized design. In the following calculations, use ? = 0.05. Treatment1 Treatment2 Treatment3 62 83 70 46 71 54 53 88 60 39 70 48 xj 50 78 58 sj2 96.67 79.33 88.00 (a) Use analysis of variance to test for a significant difference among the means of the three treatments. State the null and alternative hypotheses. H0: ?1 = ?2 = ?3Ha: Not all the population means are equal.H0: ?1 = ?2 = ?3Ha: ?1 ≠ ?2 ≠ ?3 H0: At least two of the population means are equal.Ha: At least two of the population means are different.H0: ?1 ≠ ?2 ≠ ?3Ha: ?1 = ?2 = ?3H0: Not all the population means are equal.Ha: ?1 = ?2 = ?3 Find the value of the test statistic. (Round your answer to two decimal places.) Find the p-value. (Round your answer to three decimal places.) p-value = State your conclusion. Do not reject H0. There is not sufficient evidence to conclude that the means of the three treatments are not equal.Reject H0. There is…
A recent national report states the marital status distribution of the male population age 18 or older is as follows: Never Married (31.1%), Married (55.9%), Widowed (3%), Divorced (10%). The table below shows the results of a random sample of 1824 adult men from California. Test the claim that the distribution from California is as expected at the a = 0.01 significance level. a. Complete the table by filling in the expected frequencies. Round to the nearest whole number: Frequencies of Marital Status Outcome Frequency Expected Frequency Never Married 562 Married 1024 Widowed 73 Divorced 165 b. What is the correct statistical test to use? Select an answer V c. What are the null and alternative hypotheses? Ho: O Marital status and residency are dependent. O Marital status and residency are independent. O The distribution of marital status in California is not the same as it is nationally. O The distribution of marital status in California is the same as it is nationally.
A study reported that finger rings increase the growth of bacteria on health-care workers’ hands. Research suggests that 31 percent of health-care workers who wear rings have bacteria on one or both hands. Suppose that independent random samples of 100 health-care workers wearing rings is selected. What is the standard deviation of the sampling distribution of the sample proportions of health-care workers having bacteria on one or both hands? A. 100 B. 0.0462 C. 0.69
A sociologist is studying the age of the population in Blue Valley. Ten years ago, the population was such that 19% were under 20 years old, 14% were in the 20- to 35-year-old bracket, 33% were between 36 and 50, 23% were between 51 and 65, and 11% were over 65. A study done this year used a random sample of 210 residents. This sample is given below. At the 0.01 level of significance, has the age distribution of the population of Blue Valley changed?Under 20 20 - 35 36 - 50 51 - 65 Over 6529 27 67 65 22(i) Give the value of the level of significance. State the null and alternate hypotheses.H0: The population 10 years ago and the population today are independent.H1: The population 10 years ago and the population today are not independent.H0: The distributions for the population 10 years ago and the population today are the same.H1: The distributions for the population 10 years ago and the population today are different. H0: Time ten years ago and today are independent.H1: Time ten years…
In a survey of 180 females who recently completed high school, 75% were enrolled in college. In a survey of 160 males who recently completed high school,70 % were enrolled in college. At a=.009, can you reject the claim that there is no difference in the proportion of college enrollees between the two groups? Assume the random samples are independent. Complete parts (a) through (e).
The table below shows the color and the model of cars purchased by 160 randomly selected customers at a car dealership in 2020.Use a 5 percent level of significance to test the null hypothesis that color chosen and car model are independent.i. State the null and alternative hypotheses for this test. ii. Calculate:a. the expected frequency for red vehicle and the Toyota modelb. the chis-square contribution, ?2 for red vehicle and the Toyota modeli. Given that the chi-square test statistic, ?2, is 2.1183, find the p-value for test ii. State the conclusion for the test.iii. State 2 limitations of the chi-square test, ?2
In a random sample of males, it was found that 22 write with their left hands and 220 do not. In a random sample of females, it was found that 73 write with their left hands and 449 do not. Use a 0.05 significance level to test the claim that the rate of left-handedness among males is less than that among females. Complete parts (a) through (c) below. a. Test the claim using a hypothesis test. Consider the first sample to be the sample of males and the second sample to be the sample of females. What are the null and alternative hypotheses for the hypothesis test? OA. Ho: P₁ P2 H₁: P₁ P2 O D. Ho: P₁ = P2 H₁: P₁ P2 B. Ho: P₁ = P2 H₁: P₁ P2 E. Ho: P₁ P2 H₁: P₁ = P2 C. Ho: P₁ P2 H₁: P₁ P2 OF. Ho: P₁ H₁: P₁ P2 P₂
Consider a sample of 54 football games, where 30 of them were won by the home team. Use a 0.10 significance level to test the claim that the probability that the home team wins is greater than one-half. B. Ho: p=0.5 H₁: p>0.5 OC. Ho: p>0.5 H₁: p=0.5 OD. Ho: p=0.5 H₁: p 0.5 Identify the test statistic for this hypothesis test. The test statistic for this hypothesis test is 0.82. (Round to two decimal places as needed.) Identify the P-value for this hypothesis test. The P-value for this hypothesis test is 0.206. (Round to three decimal places as needed.) Identify the conclusion for this hypothesis test. OA. Fail to reject Ho. There is not sufficient evidence to support the claim that the probability of the home team winning is greater than one-half. B. Reject Ho. There is not sufficient evidence to support the claim that the probability of the home team winning is greater than one-half. OC. Fail to reject Ho. There is sufficient evidence to support the claim that the probability of the…

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