A random sample of 50 students was taken by the principal of a large high school to see if arelationship exists between gender and attitude concerning a proposed mandatory community servicerequirement. The data appear in the table below.FemaleMaleTotalApprove11819Disapprove51318Undecided6713Total222850Which of the following gives the null hypothesis in a test to determine if a relationship existsbetween gender and attitude concerning a proposed mandatory community service requirement?(A) Premale = PMale(B) PApprove PDisapprove PUndecided(C) Gender of a student is independent of opinion on the proposal.(D) Gender of a student is not independent of opinion on the proposal.(E) The distribution of opinions is the same for each gender.

In statistics, the null hypothesis is a general statement or default position that there is no…

Answered: A random sample of 50 students was…

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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A study was conducted to determine the proportion of people who dream in black and white instead of color. Among 321 people over the age of 55, 77 dream in black and white, and among 311 people under the age of 25, 13 dream in black and white. Use a 0.01 significance level to test the claim that the proportion of people over 55 who dream in black and white is greater than the proportion for those under 25. Complete parts (a) through (c) below. a. Test the claim using a hypothesis test. Consider the first sample to be the sample of people over the age of 55 and the second sample to be the sample of people under the age of 25. What are the null and alternative hypotheses for the hypothesis test? A. Ho: P1 P2 H₁: P₁ P2 OD. Ho: P1 P2 Н1:01
A study was conducted to determine the proportion of people who dream in black and white instead of color. Among 297 people over the age of 55, 75 dream in black and white, and among 310 people under the age of 25, 19 dream in black and white. Use a 0.05 significance level to test the claim that the proportion of people over 55 who dream in black and white is greater than the proportion for those under 25. Complete parts (a) through (c) below. a. Identify the test statistic. z= 6.51 (Round to two decimal places as needed.) Identify the P-value. P-value = 3.770o (Round to three decimal places as needed.) What is the conclusion based on the hypothesis test? The P-value is greater than the significance level of a = 0.05, so fail to reject the null hypothesis. There is insufficient evidence to support the claim that the proportion of people over 55 who dream in black and white is greater than the proportion for those under 25. b. Test the claim by constructing an appropriate confidence…
14) n gall up poll of 1125 adults, it was found that 47% fly never or rarely. Use a 5% significance level to test that the percentage of adults who fly never or rarely is 50%. (use p-value approach) a. Claim b. Ho H1 c. P-value d. Reject Ho Do not reject Ho e. Write a statement about the claim
1
Since first year students reported at the University of Nairobi, a shop attendant at students hall of residence has noticed an increase in sales of fanta soda. As a statistician and market analyst, you would wish to know if there is relationship between soda preference and year level of study at the University of Nairobi. A random sample of 200 students was taken. Their year level and soda preference are given in the table. Soda/Year of study Fist Year Second Year Соса cola 33 57 Fanta 30 20 Spirit 5 35 Stoney 12 8 Based on this information, obtained the Chi-square calculated in 2 decimal places
A study was conducted to determine the proportion of people who dream in black and white instead of color. Among 315 people over the age of 55, 61 dream in black and white, and among 285 people under the age of 25, 12 dream in black and white. Use a 0.01 significance level to test the claim that the proportion of people over 55 who dream in black and white is greater than the proportion for those under 25. Complete parts (a) through (c) below. a. Test the claim using a hypothesis test. Consider the first sample to be the sample of people over the age of 55 and the second sample to be the sample of people under the age of 25. What are the null and alternative hypotheses for the hypothesis test? O A. Ho: P1 = P2 H1: P1 > P2 O B. Ho: P1 # P2 H1: P1 = P2 OC. Ho: P1 = P2 H;:Pq
4. A researcher interviews by phone a province-wide random sample of persons aged 18 and above about their attitude toward divorce. Using the following set of results, the hypothesis that the attitude of respondent toward divorce vary across gender was tested. 4. A researcher interviews by phone a province-wide random sample of persons aged 18 and above about their attitude toward divorce. Using the following set of results, the hypothesis that the attitude of respondent toward divorce vary across gender was tested. Table 1. Contingency Table Male Female Favor Not in favor 88 39 46 92 Table 2. Analysis Result Value df . Sig. (2-sided) Stat 17.922 1 .000 c. What statistical tool was used? d. Discuss the statistical result using the APA format
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A survey was conducted to determine whether hours of sleep per night are independent of age. A sample of individuals was asked to indicate the number of hours of sleep per night with categorical options: fewer than 6 hours, 6 to 6.9 hours, 7 to 7.9 hours, and 8 hours or more. Later in the survey, the individuals were asked to indicate their age with categorical options: age 39 or younger and age 40 or older. Sample data follow. Age Group Hours of Sleep 39 or younger 40 or older Fewer than 6 38 36 6 to 6.9 60 57 7 to 7.9 76 74 8 or more 66 93 (a) Conduct a test of independence to determine whether hours of sleep are independent of age. (b) What is your estimate of the percentages of individuals who sleep fewer than 6 hours, 6 to 6.9 hours, 7 to 7.9 hours, and 8 hours or more per night?
2. We want to investigate whether there exists gender bias on traffic stops by the police here in Charlotte. The Charlotte Open Data Portal includes information on different characteristics of drivers being stopped. We collected the data from 2017 and we are interested in answering the question: "Of all the drivers who are stopped, are female drivers less likely to get searched than male drivers? From the data collected we observed that 438 out of the 24,314 female drivers were searched, whercas 2,244 out of 34,095 male drivers were scarchcd. (a) that the proportion of female drivers being searched is smaller than the proportion of male drivers being searched? Is there sufficient evidence at the 0.05 significance level to conclude Construct the appropriate confidence interval for the hypothesis (b) test of part (a) and state your conclusion.
In a study of parents’ feelings about a required course in sex education, 360 parents, a random sample, are clas-sified according to whether they have one, two, or three or more children in the school system and also whetherthey feel that the course is poor, adequate, or good. Basedon the results shown in the following table, test at the0.05 level of significance whether there is a relationshipbetween parents’ reaction to the course and the numberof children that they have in the school system:Number of children1 23 or morePoor 48 40 12Adequate 55 53 29Good 57 46 20
Because the confidence interval limits v 0, it appears that the two proportions are V Because the confidence interval limits include V values, it appears that the proportion of people over 55 who dream in black and white is V the proportion for those under 25. c. An explanation for the results is that those over the age of 55 grew up exposed to media that was displayed in black and white. Can these results be used to verify that explanation? O A. No. The results speak to a possible difference between the proportions of people over 55 and under 25 who dream in black and white, but the results cannot be used to verify the cause of such a difference. O B. No. The results speak to a possible difference between the proportions of people over 55 and under 25 who dream in black and white, but the results are not statistically significant enough to verify the cause of such a difference. O C. Yes. The results can be used to verify the given explanation because difference in proportions is…

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