Question

In a poll, each of a certain number of American adults were asked the question "If you had to choose, which ONE of the following sports would you say is your favorite?" Of the survey participants, 31% chose pro football as their favorite sport. The report also included the statement "Adults with household incomes of $75,000 - < $100,000 (49%) are especially likely to name pro football as their favorite sport, while love of this particular game is especially low among those in $100,000+ households (23%)." Suppose that the percentages from this poll are representative of American adults in general. Consider the following events. F - randomly selected American adult names pro football as their favorite sport L= randomly selected American has a household income of $75,000 - < $100,000 H - randomly selected American has a household income of $100,000+ (a) Use the given information to estimate the following probabilities. (1) P(F) (II) P(FIL) (i) P(FH) (b) Are the events F and L mutually exclusive? Justify your answer. Yes, F and L are mutually exclusive because one cannot name pro football as a favorite sport and have a household income of $75,000 - < $100,000. Yes, F and L are mutually exclusive because one can name pro football as a favorite sport and have a household income of $75,000 - < $100,000. No, F and L are not mutually exclusive because one cannot name pro football as a favorite sport and have a household income of $75,000 - < $100,000. No, F and L are not mutually exclusive because one cannot name pro football as a favorite sport and have a household income of $75,000 - < $100,000. (c) Are the events H and L mutually exclusive? Justify your answer. Yes, H and L are mutually exclusive because a household income cannot be both $75,000 - < $100,000 and $100,000+. Yes, H and L are mutually exclusive because a household income can be both $75,000 - < $100,000 and $100,000+. No, H and L are not mutually exclusive because a household income cannot be both $75,000 - < $100,000 and $100,000+. No, H and L are not mutually exclusive because a household income can be both $75,000 - < $100,000 and $100,000+. (d) Are the events F and H independent? Justify your answer. Yes, F and H are independent because P(F) + P(FIH). Yes, F and H are independent because P(F) = P(FH). No, F and H are not independent because P(F) = P(FH). No, F and H are not independent because P(F) + P(F/H).

Name: suppose that the percentages from this poll are representative of american adults in general consider the following events f randomly selected american adult names pro football as their favo 21098
Uploaded: 2022-08-26T18:39:45-08:00
Duration: 5 min 31 s
Channel: Sheryl Ezze
Description: suppose that the percentages from this poll are representative of american adults in general consider the following events f randomly selected american adult names pro football as their favo 21098

          In a poll, each of a certain number of American adults were asked the question "If you had to choose, which ONE of the following sports would you say is your favorite?" Of the survey participants, 31% chose pro football as their favorite sport. The report also included the statement "Adults with household incomes of $75,000 - < $100,000 (49%) are especially likely to name pro football as their favorite sport, while love of this particular game is especially low among those in $100,000+ households (23%)."
Suppose that the percentages from this poll are representative of American adults in general. Consider the following events.
F - randomly selected American adult names pro football as their favorite sport
L= randomly selected American has a household income of $75,000 - < $100,000
H - randomly selected American has a household income of $100,000+
(a) Use the given information to estimate the following probabilities.
(1) P(F)
(II) P(FIL)
(i) P(FH)
(b) Are the events F and L mutually exclusive? Justify your answer.
Yes, F and L are mutually exclusive because one cannot name pro football as a favorite sport and have a household income of $75,000 - < $100,000.
Yes, F and L are mutually exclusive because one can name pro football as a favorite sport and have a household income of $75,000 - < $100,000.
No, F and L are not mutually exclusive because one cannot name pro football as a favorite sport and have a household income of $75,000 - < $100,000.
No, F and L are not mutually exclusive because one cannot name pro football as a favorite sport and have a household income of $75,000 - < $100,000.
(c) Are the events H and L mutually exclusive? Justify your answer.
Yes, H and L are mutually exclusive because a household income cannot be both $75,000 - < $100,000 and $100,000+.
Yes, H and L are mutually exclusive because a household income can be both $75,000 - < $100,000 and $100,000+.
No, H and L are not mutually exclusive because a household income cannot be both $75,000 - < $100,000 and $100,000+.
No, H and L are not mutually exclusive because a household income can be both $75,000 - < $100,000 and $100,000+.
(d) Are the events F and H independent? Justify your answer.
Yes, F and H are independent because P(F) + P(FIH).
Yes, F and H are independent because P(F) = P(FH).
No, F and H are not independent because P(F) = P(FH).
No, F and H are not independent because P(F) + P(F/H).

suppose that the percentages from this poll are representative of american adults in general consider the following events f randomly selected american adult names pro football as their favo 21098

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Elementary Statistics a Step by Step Approach

Allan G. Bluman 9th Edition

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Solved by Expert Sheryl Ezze

08/26/2022

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Therefore, P(F) = 0.31. Show more…

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In a poll, each of a certain number of American adults were asked the question "If you had to choose, which ONE of the following sports would you say is your favorite?" Of the survey participants, 31% chose pro football as their favorite sport. The report also included the statement "Adults with household incomes of $75,000 - < $100,000 (49%) are especially likely to name pro football as their favorite sport, while love of this particular game is especially low among those in $100,000+ households (23%)." Suppose that the percentages from this poll are representative of American adults in general. Consider the following events. F - randomly selected American adult names pro football as their favorite sport L= randomly selected American has a household income of $75,000 - < $100,000 H - randomly selected American has a household income of $100,000+ (a) Use the given information to estimate the following probabilities. (1) P(F) (II) P(FIL) (i) P(FH) (b) Are the events F and L mutually exclusive? Justify your answer. Yes, F and L are mutually exclusive because one cannot name pro football as a favorite sport and have a household income of $75,000 - < $100,000. Yes, F and L are mutually exclusive because one can name pro football as a favorite sport and have a household income of $75,000 - < $100,000. No, F and L are not mutually exclusive because one cannot name pro football as a favorite sport and have a household income of $75,000 - < $100,000. No, F and L are not mutually exclusive because one cannot name pro football as a favorite sport and have a household income of $75,000 - < $100,000. (c) Are the events H and L mutually exclusive? Justify your answer. Yes, H and L are mutually exclusive because a household income cannot be both $75,000 - < $100,000 and $100,000+. Yes, H and L are mutually exclusive because a household income can be both $75,000 - < $100,000 and $100,000+. No, H and L are not mutually exclusive because a household income cannot be both $75,000 - < $100,000 and $100,000+. No, H and L are not mutually exclusive because a household income can be both $75,000 - < $100,000 and $100,000+. (d) Are the events F and H independent? Justify your answer. Yes, F and H are independent because P(F) + P(FIH). Yes, F and H are independent because P(F) = P(FH). No, F and H are not independent because P(F) = P(FH). No, F and H are not independent because P(F) + P(F/H).

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00:01 So we would be assuming that the mean for above the poverty level is equal to that of those below, and alternately that the mean of those above is higher than those below for that marital satisfaction, i think it was.

00:16 And we have our x bar for a being 51 .1 with a standard deviation of 9 and a sample size of 39.

00:30 And our x bar for below is 45 .2.

00:34 It's below, but is it significantly below? the standard deviation is 12, and the sample size for below was 31.

00:43 And our degrees of freedom, because we are pooling, we are assuming that these variances are equal.

00:50 So we do need to find the variance of these.

00:53 So the sample pooled variance will be to take one less than the first, sample size times that variance plus one less than that sample size times the other variance.

01:08 And then we'll divide that by 39 plus 31 less 2.

01:14 And let me quick get that calculation for you.

01:17 So that comes out to be left parentheses 38 times 81 plus 30 times 144.

01:28 Close that parenthesis and that's going to be divided by, let's see, these two adds up to 68.

01:35 So, because we have again, we could take away one from here, it's 30, take away one from there, 30 and 38 is going to be 68.

01:45 So our degrees of freedom is 68.

01:47 So divided by 68.

01:49 And that variance comes out to be 108 .794.

01:55 And that's for our pooled variance.

02:04 So now we need to find that test statistic.

02:08 And that test statistic is a t value that will have 68 degrees of freedom.

02:14 And your table, you're using an alpha level of 0 .05, by the way.

02:19 And we're doing a greater than a one -tail test.

02:23 And so we would put all 0 .5 at one tail.

02:27 And we have the 68 degrees of freedom.

02:30 And when i look at my table and you look at your table, you have 60.

02:35 You don't have for 68 degrees of freedom.

02:38 So if i look at the column for 0 .05 in the upper tail and find the p value that has 0 .05 in the upper tail and use 60 because i don't have 68, that value comes out to be 1 .671.

02:55 And so if we have our test statistic higher than that, that will cause us to reject our null.

03:02 So let's find out what that test statistic is...

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