Question

The table to the right contains observed values and expected values in parentheses for two categorical variables, X and Y, where variable X has three categories and variable Y has two categories. Use the table to complete parts (a) and (b) below. Upper X 1 Upper X 2 Upper X 3 Upper Y 1 34 left parenthesis 35.67 right parenthesis 43 left parenthesis 44.77 right parenthesis 51 left parenthesis 47.56 right parenthesis Upper Y 2 17 left parenthesis 15.33 right parenthesis 21 left parenthesis 19.23 right parenthesis 17 left parenthesis 20.44 right parenthesis (a) Compute the value of the chi-square test statistic. chi Subscript 0 Superscript 2equals nothing (Round to three decimal places as needed.) (b) Test the hypothesis that X and Y are independent at the alpha equals 0.01 level of significance. A. Upper H 0: The Upper Y category and Upper X category have equal proportions. Upper H 1: The proportions are not equal. B. Upper H 0: The Upper Y category and Upper X category are independent. Upper H 1: The Upper Y category and Upper X category are dependent. C. Upper H 0: mu Subscript xequals Upper E Subscript x and mu Subscript yequals Upper E Subscript y Upper H 1: mu Subscript xnot equals Upper E Subscript x or mu Subscript ynot equals Upper E Subscript y D. Upper H 0: The Upper Y category and Upper X category are dependent. Upper H 1: The Upper Y category and Upper X category are independent. What is the P-value? P-valueequals nothing (Round to three decimal places as needed.) Should the null hypothesis be rejected? A. No, do not reject Upper H 0. There is not sufficient evidence at the alphaequals0.01 level of significance to conclude that X and Y are dependent because the P-valuegreater thanalpha. B. No, do not reject Upper H 0. There is sufficient evidence at the alphaequals0.01 level of significance to conclude that X and Y are dependent because the P-valueless thanalpha. C. Yes, reject Upper H 0. There is not sufficient evidence at the alphaequals0.01 level of significance to conclude that X and Y are dependent because the P-valuegreater thanalpha. D. Yes, reject Upper H 0. There is not sufficient evidence at the alphaequals0.01 level of significance to conclude that X and Y are dependent because the P-valueless thanalpha. Click to select your answer(s).

_ X1 X2 X3

Y1 34 43 51

Y2 17 21 17

Answer #1

Solution -

Hypotheses would be-

H0 - There is independence between X and Y values

Ha - There is no independence between X and Y values

we will use contingency table here:-

Table showing Expected frequencies is-

Expected frequency in each cell is calculated using - Row total * Column Total / Grand total

Value of chi-square test statistic is calculated as

= 1.321

P-value will be calculated as P ( > 1.321 ) [Degrees of freedom is calculated as ( 3-1) * (2-1) = 2 ]

= 0.5167 [ Calculated using chi-square tables ]

As p-value is less than 0.01 then null hypothesis is not rejected at 1% level of significance.

Hence we can conclude that there is independence between X and Y values

**TY!**

The table to the right contains observed values and expected
values in parentheses for two categorical variables, X and Y,
where variable X has three categories and variable Y has two
categories. Use the table to complete parts (a) and (b) below.
Upper X 1 Upper X 2 Upper X 3 Upper Y 1 33 left parenthesis 34.59
right parenthesis 42 left parenthesis 43.96 right parenthesis 54
left parenthesis 50.45 right parenthesis Upper Y 2 15 left
parenthesis 13.41 right...

In a clinical trial, 28 out of 878 patients taking a
prescription drug daily complained of flulike symptoms. Suppose
that it is known that 2.7% of patients taking competing drugs
complain of flulike symptoms. Is there sufficient evidence to
conclude that more than 2.7% of this drug's users experience
flulike symptoms as a side effect at the alpha equals 0.1 level of
significance? Because np 0 left parenthesis 1 minus p 0 right
parenthesisequals nothing ▼ 10, the sample size...

n a clinical trial, 18 out of 860 patients taking a
prescription drug daily complained of flulike symptoms. Suppose
that it is known that 1.7% of patients taking competing drugs
complain of flulike symptoms. Is there sufficient evidence to
conclude that more than 1.7% of this drug's users experience
flulike symptoms as a side effect at the alpha equals 0.05 level
of significance? Because np 0 left parenthesis 1 minus p 0 right
parenthesisequals 14.4 greater than 10, the sample...

In a previous year, 51% of females aged 15 and older lived
alone. A sociologist tests whether this percentage is different
today by conducting a random sample of 550 females aged 15 and
older and finds that 287 are living alone. Is there sufficient
evidence at the alphaequals0.01 level of significance to conclude
the proportion has changed? Because np 0 left parenthesis 1 minus
p 0 right parenthesisequals nothing ▼ greater than less than not
equals equals 10, the sample...

A simple random sample of size nequals15 is drawn from a
population that is normally distributed. The sample mean is found
to be x overbarequals19.6 and the sample standard deviation is
found to be sequals6.3. Determine if the population mean is
different from 26 at the alpha equals 0.01 level of significance.
Complete parts (a) through (d) below. (a) Determine the null and
alternative hypotheses. Upper H 0: ▼ sigma mu p ▼ equals greater
than not equals less than...

A simple random sample of size nequals15 is drawn from a
population that is normally distributed. The sample mean is found
to be x overbarequals21.8 and the sample standard deviation is
found to be sequals6.3. Determine if the population mean is
different from 24 at the alpha equals 0.01 level of significance.
Complete parts (a) through (d) below. (a) Determine the null and
alternative hypotheses. Upper H 0: ▼ mu sigma p ▼ less than equals
greater than not equals...

In a clinical trial, 26 out of 866 patients taking a
prescription drug daily complained of flulike symptoms. Suppose
that it is known that 2.7% of patients taking competing drugs
complain of flulike symptoms. Is there sufficient evidence to
conclude that more than 2.7% of this drug's users experience
flulike symptoms as a side effect at the alpha equals 0.1 level of
significance?
Because np0 (1 – p0) = ____ ____ 10, the sample size is ________
5% of the...

Listed below are systolic blood pressure measurements (mm Hg)
taken from the right and left arms of the same woman. Assume that
the paired sample data is a simple random sample and that the
differences have a distribution that is approximately normal. Use
a
0.050.05
significance level to test for a difference between the
measurements from the two arms. What can be concluded?
Right arm
152152
148148
115115
129129
136136
Left arm
172172
168168
177177
148148
149149
In this example,...

In an experiment, 18 babies were asked to watch a climber
attempt to ascend a hill. On two occasions, the baby witnesses the
climber fail to make the climb. Then, the baby witnesses either a
helper toy push the climber up the hill, or a hinderer toy
preventing the climber from making the ascent. The toys were shown
to each baby in a random fashion. A second part of this experiment
showed the climber approach the helper toy, which is...

For the data set shown? below, complete parts? (a) through? (d)
below. x 3 4 5 7 8 y 4 6 8 12 13 ?(a)??Find the estimates of beta 0
and beta 1. beta 0almost equalsb 0equals nothing ?(Round to three
decimal places as? needed.) beta 1almost equalsb 1equals nothing
?(Round to three decimal places as? needed.) ?(b)??Compute the
standard? error, the point estimate for sigma. s Subscript eequals
nothing ?(Round to four decimal places as? needed.) ?(c)??Assuming
the residuals...

ADVERTISEMENT

Get Answers For Free

Most questions answered within 1 hours.

ADVERTISEMENT

asked 2 minutes ago

asked 10 minutes ago

asked 16 minutes ago

asked 20 minutes ago

asked 22 minutes ago

asked 33 minutes ago

asked 36 minutes ago

asked 37 minutes ago

asked 38 minutes ago

asked 38 minutes ago

asked 41 minutes ago

asked 47 minutes ago