Section F: In a random sample of 150 unemployed males, 81 of them stated that they were regular consumers of alcoholic beverages. Let p denote the true proportion of unemployed males that are regular consumers of alcoholic beverages.
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- A manager wants to study the employees' absence behaviour in his company. He wishes to find the average number of days an employee absence last year. He randomly selected 25 employees from different departments and recorded the number of days they absent from work as follows: 3 17 5 7 8 2 14 10 15 14 7 11 12 5 7 20 25 15 18 1 21Let x be the percentage of 16- to 19-year-olds not in school and not high school graduates. Let y be the reported violent crimes per 1000 residents. Six small cities in Arkansas (Blytheville, El Dorado, Hot Springs, Jonesboro, Rogers, and Russellville) reported the following information about x and y.x 23.8 19.1 17.5 14.9 19.0 17.5y 12.9 4.5 9.5 1.3 0.8 3.6 a) Verify the given sums Σx, Σy, Σx2, Σy2, Σxy, and the value of the sample correlation coefficient r. (Round your value for r to four decimal places.)Σx = Σy = Σx2 = Σy2 = Σxy = r = b) Find x, and y. Then find the equation of the least-squares line y hat = a + bx. (Round your answer to four decimal places.)x = y = y hat = _____+ ____xAmong those who are 21 years of age, those who have been driving less than 5 years had 10,000 new car accidents in 1 year, while those who had been driving for more than 5 years had 20,000 new car accidents during the same time period. It was concluded from these data that 21-year-olds with more driving experience have increased risk of accidents compared to those who started driving later. This conclusion is: a. Correct b. Incorrect because rates are not reported c. Incorrect because prevalence estimates are given when incidence rates should be reported d. Incorrect because there is no comparison group
- A researcher is interested in the relationship between birth order and personality. A sample of n= 100 people is obtained, all of whom grew up in families as one of three children. Each person is given a personality test, and the researcher also records the person’s birth-order position (1st born, 2nd, or 3rd). The frequencies from this study are shown in the following table. On the basis of these data, can the researcher conclude that there is a significant relation between birth order and personality? Test at the .05 level of significance. Birth Position 1st 2nd 3rd Outgoing 13 31 16 Reserved 17 19 4 The critical value is: Our calculated chi-square is:…The Pew Research Center conducted a survey of randomly sampled American adults, asking them about their use of social networking sites such as Facebook. The table below shows the frequency of users "liking" content on Facebook, with the data shown by gender. Does the frequency of "liking" depend on the gender of the user? Į Liking/Gender Male Female Total Every day 77 142 219 3 – 5 days/week 39 54 93 1 – 2 days/week 62 69 131 Every few weeks 42 44 86 Less often 166 182 348 Total 386 491 877 Table 1 Gender and frequency of "liking" content on Facebook Round your answer for the chi-square statistic to one decimal place, and your answer for the p-value to three decimal places. chi-square statistic = i p-value iThe following table presents the numbers of employees, by age group, who were promoted, or not promoted, in a sample drawn from a certain industry during the past year. Under 30 promoted: 16, 30-39 promoted: 25, 40-49 promoted: 25, 50 and over: 5. Under 30 not promoted: 28, 30-39 not promoted: 49, 40-49 not promoted: 37, 50 and over not promoted: 44. Can you conclude that the people in some age groups are more likely to be promoted than those in other age groups? Use the a=0.01 level of significance and the p-value method with the TI-84 Plus calculator. State the null hypothesis
- A researcher is interested in the relationship between birth order and personality. A sample of n= 100 people is obtained, all of whom grew up in families as one of three children. Each person is given a personality test, and the researcher also records the person’s birth-order position (1st born, 2nd, or 3rd). The frequencies from this study are shown in the following table. On the basis of these data, can the researcher conclude that there is a significant relation between birth order and personality? Test at the .05 level of significance. Birth Position 1st 2nd 3rd Outgoing 13 31 16 Reserved 17 19 4 The expected frequencies for Outgoing, Birth Position 1st is: The expected frequencies for…. Myers-Briggs: Actors Isabel Briggs Myers was a pioneer in the study of personality types. The following information is taken from MBTI Manual: A Guide to the Development and Use of the Myers-Briggs Type Indicator by Myers and McCaulley (Consulting Psychologists Press). In a random sample of 62 professional actors, it was found that 39 were extroverts. Let p represent the proportion of all actors who are extroverts. Find a point estimate for p. Find a 95% confidence interval for p. Give a brief interpretation of the meaning of the confidence interval you have found. Check Requirements Do you think the conditions np > 5 and nq > 5 are satisfied in this problem? Explain why this would be an important consideration.The numbers of students in the sections of principles in statistics are considered as:
- A publisher of magazines for teenager's wishes to determine whether there is a relationship between the gender of a teenager and the type of the magazine that he/she prefer to read. A survey of 200 teenagers produced the following results: Gender Male Female Total Select one: a. 7.815 b. 5.991 Music 29 18 47 O c. 4.605 O d. 9.210 e. 3.841 Type of Magazine Clothes 32 25 57 Performing the Chi-squared test at a 10% level of significance to determine whether there is a relationship between the gender of the teenager and magazine preference, determine the critical value of the test. Gadgets 59 37 96 Total 120 80 200If you have a study in which 90 participants are randomly assigned to one of three groups, the dfwithin=?4. A random sample of 16 communities in western Kansas gave the following information for people under 25 years of age. Rate of hay fever per 1000 population for people under 25 n =16 96 89 118 130 92 123 112 93 125 95 125 117 97 122 127 88 A random sample of 14 regions in western Kansas gave the following information for people over 50 years old. Rate of hay fever per 1000 population for people over 50 n=14 93 112 102 98 111 88 110 79 115 100 89 114 85 96 Do the data indicate that the age group over 50 has a lower rate of hay fever? Use a = 0.10. I. Hoili Hi :H,> Hz = Hz ∞ =0.10. 2. CRight tailed test) 2.2 Samp t- test Ct 1.97) %3D d.f- 3. t 1.97 Reje et Ho te:1.350 H. P-0.0295 < 0.1- Yes Reject Ho %3D Keject Ho 3 P value io sa P value io s x. 5. At the 10% level & Signigicance, we enough Statistical e videne