MATLAB: An Introduction with Applications
6th Edition
ISBN: 9781119256830
Author: Amos Gilat
Publisher: John Wiley & Sons Inc
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- A researcher is interested in factors related to academic performance of students. She hypothesized that for undergraduate students, there is an association between academic majors (STEM, Business, Education, Nursing) and amount of time spent studying each week (less than 3 days, 3 to 6 days, everyday). To test her hypothesis, she randomly selected 1000 undergraduate students from various colleges/universities in Texas, and then classified each participant according to their major and amount of study time each week. For her study, she found test-statistic of 23.75 and a p-value of 0.0006. Using this information, fill in the necessary information below for her test. Distribution used: a. chi-square distribution, 3 degrees of freedom b. chi-square distribution, 4 degrees of freedom c. chi-square distribution, 6 degrees of freedom d. chi-square distribution, 12 degrees of freedomarrow_forwardSuppose a marriage counselor believes that the proportion of married couples with three personality preferences in common is significantly different from the known value of 35%. A survey randomly given to her current and former clients found 130 of 432 couples who sharedthree personality preferences. Does this indicate that the proportion is significantly different (either higher or lower)? Use a 1% level of significance to test her claim and show all work.arrow_forwardA 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? (b)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.)arrow_forward
- In 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 remaininaarrow_forwardIn a random survey of 500 men who asked a woman's father for permission before asking the woman for her hand in marriage, 143 said the marriage ended in divorce. In a random survey of 500 men who did not first ask a woman's father for permission, 169 of the marriages ended in divorce. Is there convincing evidence at 5% level, that men who ask a woman's father for permission before asking the woman have marriages with lower divorce rates?arrow_forwardIn 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 thearrow_forward
- A random sample of n1 = 148 people ages 16 to 19 were taken from the island of Oahu, Hawaii, and 14 were found to be high school dropouts. Another random sample of n2 = 125 people ages 16 to 19 were taken from Sweetwater County, Wyoming, and 5 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.arrow_forwardA 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.)arrow_forwardA random sample of n1 = 148 people ages 16 to 19 were taken from the island of Oahu, Hawaii, and 14 were found to be high school dropouts. Another random sample of n2 = 125 people ages 16 to 19 were taken from Sweetwater County, Wyoming, and 5 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. I need help with sketching, (d) and (e)arrow_forward
- 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…arrow_forwardIt 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:…arrow_forwardIt 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.arrow_forward
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