How do I examine whether there is evidence that, in the population from which the respondents were selected, the average of one group is different from another?
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Q: The table below summarizes data from a survey of a sample of women. Using a 0.05 significance…
A: The given table is as follows:
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Q: An article about the California lottery gave the following information on the age distribution of…
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How do I examine whether there is evidence that, in the population from which the respondents were selected, the average of one group is different from another?
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by Bartleby Expert- Is gender independent of education level ? A random sample of 395 people were surveyed and each person was asked to report the highest education level they obtained .The data that resulted from the survey is summarized in the following table: High School Bachelors Masters PhD. Female 60 54 46 41 Male 40 44 53 57 Question: Are gender and education level dependent at 5percent level of significance ? In other words given the data collected above is there a relationship between the gender of an individual and the level of education that they have obtained ?In the US, 45.1% of all people have type O blood, 39.6% have type A blood, 10.9% have type B blood and 4.4% have type AB blood. A researcher wants to see if the distribution of blood type is different for millionaires. The table below shows the results of a random sample of 614 millionaires. What can be concluded at the significant level of a = 0.05. For this study, we should use Chi-Square test for Goodness of Fit Your friend Caroline helped you with the null and alternative hypotheses... Ho : The distributions of blood types are the same between the general population and the millionaires. Ha: The distributions of blood types are NOT the same between the general population and the millionaires. You drew 614 samples, and the observed frequencies are recorded below. Please complete the table (round answers to at least 4 decimal places). Blood Type 0 A B AB Observed Count 274 230 57 53 Expected Count Click Download CSV to download csv file of data or copy/paste the data into Excel.…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
- The table below summarizes data from a survey of a sample of women. Using a 0.01 significance level, and assuming that the sample sizes of 900 men and 400 women are predetermined, test the claim that the proportions of agree/disagree responses are the same for subjects interviewed by men and the subjects interviewed by women. Does it appear that the gender of the interviewer affected the responses of women? Gender of Interviewer Man Woman Women who agree 625 330 Women who disagree 275 70 Compute the test statistic, rounding to three decimal places. Find the critical value(s). (Round to three decimal places) What is the conclusion based on the hypothesis test?What is the Mean of the Millennial Group? how about the Gen Z group?In a population of 150 pea plants, there are 89 tall-purple plants, 25 short-purple plants, 28 tall-white plants, and 8 short-white plants. In order to test if the two traits are experiencing independent assortment researchers would perform a chi squared test. What is your calculated Chi Squared statistic? What is the corresponding P value?
- An 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…A graduate student is interested in how viewing different types of scenes affects working memory. For his study, he selects a random sample of 36 adults. The subjects complete a series of working memory tests before and after walking in an urban setting. Before the walk, the mean score on the test of working memory was 9.1. After the walk, the mean score was 1.4 higher. The graduate student has no presupposed assumptions about how viewing different types of scenes affects working memory, so he formulates the null and alternative hypotheses as: H00 : μDD = 0 H11 : μDD ≠ 0 Assume that the data satisfy all of the required assumptions for a repeated-measures t test. The graduate student calculates the following statistics for his hypothesis test: Mean difference (MDD) 1.4 Estimated population standard deviation of the differences (s) 1.6 Estimated standard error of the mean differences (sMDMD) 0.2667 Degrees of freedom (df) 35 The t statistic 5.25 The critical values of t…A mathematics placement test is given to all entering freshmen at a small college. A student who receives a grade below 35 is denied admission to the regular mathematics course and placed in a remedial class. A study about the correlation between the placement scores and the final course grade is being written and the placement test scores and final grades for a group of students who took the regular course were recorded as follows: Placement Course Test Grade 50 53 35 41 35 61 40 56 55 68 65 36 35 11 60 70 90 79 35 59 90 54 80 91 60 48 60 71 60 71 40 47 55 53 50 68 65 57 50 79 Is there a significant relationship between the score on the placement test and the course grade of the students? Use 5% level of significance. (Show complete proof/steps with conclusion in statement form)
- A study was conducted to determine the proportion of people who dream in black and white instead of color. Among 318 people over the age of 55, 77 dream in black and white, and among 298 people under the age of 25, 16 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. H4: P1 P2 H: P1 #P2 O D. Ho: P1 SP2 H1: P1#P2 O E. Ho: P1 P2 H1: P1 = P2 O F. Ho: P1 =P2 H1: P1 #P2 Identify the test statistic. z= 6.52 (Round to two decimal places as needed.) Identify the P-value. P-value = 0.000 (Round to three decimal places as needed.) What is the conclusion based on the hypothesis test? The P-value is less than the significance level of a = 0.05, so reject the null hypothesis. There is sufficient evidence to support the claim that the proportion of people over 55 who dream in black and white is greater than the proportion…Is there a relationship between Facebook use and age among college students? The following two-way table displays data for the 219 students who responded to the Age Younger (18–22) Middle (23–27) Older (28 and up) Facebook user? Yes 78 49 21 No 4 21 46 What percent of the students who responded were Facebook users? What percent of the students in the sample were aged 28 or older? What percent of the students who responded were older Facebook users? What percent of the Facebook users in the sample were younger students? Find the distribution of Facebook use for each of the three age groups. Make a stacked bar graph to compare these Describe what the graph in part (e) reveals about the association between age and FacebookThe table below summarizes data from a survey of a sample of women. Using a 0.05 significance level, and assuming that the sample sizes of 800 men and 400 women are predetermined, test the claim that the proportions of agree/disagree responses are the same for subjects interviewed by men and the subjects interviewed by women. Does it appear that the gender of the interviewer affected the responses of women? Gender of Interviewer Man Woman Women who agree 535 344 Women who disagree 265 56 Click here to view the chi-square distribution table. LOADING... Identify the null and alternative hypotheses. Choose the correct answer below. A. H0: The proportions of agree/disagree responses are different for the subjects interviewed by men and the subjects interviewed by women. H1: The proportions are the same. B. H0: The proportions of agree/disagree…
