Problem #2A public opinion poll surveyed a simple random sample of 1000 voters. Respondents were classifiedby gender (male or female) and by voting preference (Republican, Democrat, or Independent).Results are shown in the contingency table below.Voting PreferencesRow totalRepublican Democrat IndependentMale20015050400Female25030050600Column total4504501001000Is there a gender gap? Do the men's voting preferences differ significantly from the women'spreferences? Use a 0.05 level of significance.

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Answered: Problem #2 A public opinion poll…

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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The following tables show the make-up of students in a school's math club. Male Female Totals Freshmen 3 5 8 Sophomores 4 10 Juniors 7 5 12 Seniors 4 10 Totals 20 20 40 P(female I freshman)? 4 20
The manager of a theater that is open to residents of two towns, A and B, wants to know if the proportion of households from A that use the library is smaller than the proportion of households from B. In order to test this, the manager asks 45 households in A and 49 households in B whether anyone in their household had used the theater last summer. 23 of the households surveyed in A responded "yes", and 35 of the households in B responded "yes". Find the p-value that would be used to make a conclusion for this hypothesis test.
Please list your answers to part a, b, c, and d. Suppose you try to conduct a presidential approval poll of 5,000 likely U.S. voters. You know that 29% of the voters are registered as Republican, 34% are registered as Democrat, and 28% are registered as Independent. If you are going to construct a representative sample of this population, approximately how many of the likely voters in the sample should be: a. Republican b. Democrat c. Independent d. Notice the sum of the percents is not 100. What could account for this?
Suppose you try to conduct a presidential approval poll of 10,000 likely U.S. voters. You know that 44% of the voters are registered with the Independent party, 28% are registered with the Reform party and 23% are registered with the Green party. If you are going to construct a representative sample of this population, approximately how many of the likely voters in the sample should be Green party?
Example 1: The owner of a local restaurant chain in town was trying to determine the best location to open her next restaurant and she had narrowed it down to two locations. She wanted to make her decision based on how interested residents in each area were in her restaurant. So she hired an independent company to survey residents from each neighborhood to gauge their interest. In the first neighborhood, 120 residents were surveyed and 84 of them expressed interest in the new restaurant. In the second neighborhood, 200 residents were surveyed and 110 of them expressed interest in the new restaurant. Carry out an appropriate hypothesis test at the a = 0.02 level to determine if there is sufficient evidence to suggest that one neighborhood is more interested in the new restaurant than the other.
Suppose a researcher is interested in examining the relationship between a person's gender and whether he or she likes the taste of Vegemite (a dark- brown food paste, made from yeast, that is popular in Australia). She collects a sample of n = 10 people and asks them whether they like the taste of Vegemite. The following table summarizes the results. Male Female Does Not Like the Taste of Vegemite 4 1 Likes the Taste of Vegemite 2 3 The researcher wants to calculate the correlation between a person's gender and whether he or she likes the taste of Vegemite. To do so, the researcher first creates a table of the data by converting each variable to a numerical value. She assigns 0 to "male" and 1 to "female." She then assigns 0 to "does not like the taste of Vegemite" and 1 to "likes the taste of Vegemite."
Jessica Johnson is running for mayor of a small city in Florida. She needs at least 51% of the votes to win. Her campaign wanted to predict whether or not she’s going to win. She hires five people to ask 100 randomly selected voters if they will vote for her. The results are shown in the table. Should Jessica predict that she will win? Poll Number Yes Votes 1 51 2 68 3 58 4 43 5 65 Jessica should predict that she will ["", ""] because ["", "", ""]
In a US presidential election, the incumbent president wins with 51.5% of the vote to 48.2% for the primary challenger (and .3% to others). In a nationwide telephone poll of 1000 people conducted exactly one week before the election by a university polling group, 49% of people polled supported the incumbent president, 50% supported the challenger, and 1% supported other candidates. a. For the polling study, what was the population of interest? b. What was the sample? c. Why did the sample results differ from the population? d. What are two constants that might have limited the generalizability of the polling results?
A manufacturing plant makes computer chips 24 hours a day. Employees work one of three, 8 hour shifts during the morning (2am-10am), day (10am-6pm), and night (6pm-2am). Below are data on the number of defective chips on a randomly chosen 24 hour period. Shift Morning Day Night Number of Defective Chips 23 26 47 Total Chips Manufactured 330 330 330 The plant manager thinks there might be more defective computer chips manufactured during the night shift compared to the day shift. Give appropriate statistical evidence to test the managers' claim.
The nonprofit group Public Agenda conducted telephone interviews with three randomly selected groups of parents of high-school children. There were 202 black parents, 202 Hispanic parents, and 201 white parents. The sample survey asked the parents to respond to the statement, "A college education has become as important as a high school diploma used to be." Here are the counts of responses: Strongly agree Somewhat agree Somewhat disagree Strongly disagree TOTAL Black parents 154 27 11 10 202 Hispanic White parents 144 37 13 8 202 parents 125 50 18 8 201 Write a brief report on the similarities or differences among the three groups of parents in their attitudes towards the importance of a college education. Include a graph or graphs and a test of significance.
freshmen business students at a local university produced the results listed below. How many students took history and science, but not music? 2525 took history;2222 took science;2323 took music;1919 took history but not science;1010 took science and music;1212 took history and music;44 took all three
A. Javier volunteers in community events each month. He does not do more than five events in a month. He attends exactly five events 35% of the time, four events 25% of the time, three events 20% of the time, two events 10% of the time, one event 5% of the time, and no event 5% of the time. What values does x take on? (Enter your answers as a comma-separated list.) B. Javier volunteers in community events each month. He does not do more than five events in a month. He attends exactly five events 25% of the time, four events 25% of the time, three events 20% of the time, two events 15% of the time, one event 10% of the time, and no events 5% of the time. Find the probability that Javier volunteers for less than three events each month. (Enter an exact number as an integer, fraction, or decimal.) P(x < 3) =

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