Homework Answers
d)
df=(row-1)(column-1) = (2-1)(2-1)=1
chi square stat = 7.8
excel formula for p-value
=CHISQ.DIST.RT(7.8,1)
=0.005224
e)
since pvalue is less tha alpha=0.05,so reject Ho
there is enough evidence to conclude that there is a relationship between anger and heart disease
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iger am (d) (4 points) Calculate the table of expected counts for these data. 15% (e)...
The following table summarizes information from a randomized clinical trial that compared two treatments (medication and...
The following table summarizes information from a randomized
clinical trial that compared two treatments (medication and
placebo) from a respiratory disorder. Outcomes were recorded as
either favorable or unfavorable.
(a) (2 points) Write null and alternative hypotheses about the
possible relationship between the two variables.
(b) (4 points) Calculate the table of expected counts for these
data.
(c) (2 points) Calculate the value of the χ 2 statistic for
testing your null hypothesis from (a). You must show your work...
INFERENCE FOR CATEGORICAL DATA DATA ACTIVITY 1) The table below organizes data on gender and responses...
INFERENCE FOR CATEGORICAL DATA DATA ACTIVITY 1) The table below organizes data on gender and responses to the following question: How intelligent do you think you are compared with others your age? Intelligence Count Female Below Average 437 Average 2243 Above Average 4072 Gender Male 456 1643 4593 1a) We would like to test whether there is a statistical difference between how males and females rate their intelligence compared to their peers. In this context, which is the explanatory variable...
Statistical software was used to fit the model E(y)Pox1 2x2 to n 20 data points. Complete parts a...
Section 12.3 Multiple Linear Regression:
Number ONE:
Statistical software was used to fit the model E(y)Pox1 2x2 to n 20 data points. Complete parts a through h EEB Click the icon to see the software output. Data Table The regression equation is Y-1738.93 - 384.54x1 517.39x2 Predictor Constant X1 X2 Coef 1738.93 - 384.54 -517.39 SE Coef 369.06 101.65 - 3.78 0.002 353.04 - 1.47 0.162 4.71 0.000 s-172.003 R-sq-55.0% R-sq(adj):49.0% Analysis of Variance MS Source Regression Residual Error 17...
A multinomial experiment with k- 4 cells and associated cell counts produced the data shown in the following table. Category 1 Category 2 Category 3 Category 4 62 |42 |37 Test the following hypothes...
A multinomial experiment with k- 4 cells and associated cell counts produced the data shown in the following table. Category 1 Category 2 Category 3 Category 4 62 |42 |37 Test the following hypothesis: Ho: pi-P2 = P3 = p4 , HA: At least one of the proportions exceeds 1/4. Calculate the Chi-Squared,x2 test statistic. Round your answer to 2 decimal places A multinomial experiment with k = 4 cells and associated cell counts produced the data shown in the...
Table 4 Regression Model Y = α X1 + β X2 Parameter
Table 4 Regression Model Y = α X1 + β X2 Parameter Estimates Coefficient Standard Error Constant 12.924 4.425 X1 -3.682 2.630 X2 45.216 12.560 Analysis of Variance Source of Degrees Sum of Mean Variation of Freedom Squares Square F Regression XXX 4,853 2,426.5 XXX Error XXX 485.3 Find above partial statistical output...
a.) Are the conditions for running this test stratified? - Yes, all observed counts are bigger...
a.) Are the conditions for running this test stratified?
- Yes, all observed counts are bigger than 5.
- Yes, the mean number of counts is bigger than 10.
- Yes, the total number of rolls is bigger than 10.
- Yes, all expeced counts are bigger than 10.
b.) State the null hypothesis.
- The data fit the distribution for a fair six-sided die.
- The data do not fit the distribution for fair six-sided
die.
c.) What are...
The data in the Tollowing table are the frequency counts for 40o observations on the number of bacterial colonies within the field of a microscope, using samples of milk film. Is there sufficient...
The data in the Tollowing table are the frequency counts for 40o observations on the number of bacterial colonies within the field of a microscope, using samples of milk film. Is there sufficient evidence to claim that the data do not fit the Poisson distribution? (Use a-0.05.) State the null and alternative hypotheses. O My The data fit a Poisson distribution. The data do not fit a Poisson dstribution. O Mo The data do not fit a Poisson distribution. The...
6. (4 points) The data and sample regression equation on plant weight x (in grams) and...
6. (4 points) The data and sample regression equation on plant weight x (in grams) and quantity of volatile emissions y in hundreds of nanograms) are given below. Presuming that the assumptions for regression inferences are met, use SPSS to decide at significance level 0.10 whether the data provide sufficient evidence to conclude that the predictor variable is useful for predicting the response variable. Perform the five steps of hypothesis testing using a p-value test. 57 83 57 63 565...
There are two sections of statistics, one in the morning (AM) with 24 students and one...
There are two sections of statistics, one in the morning (AM)
with 24 students and one in the afternoon (PM) with 27 students.
Each section takes an identical test. The PM section, on average,
scored higher than the AM section. The results are summarized in
the table below.
Necessary information:
n
x
s2
s
PM (x1)
27
80.8
277.5
16.66
AM (x2)
24
70.9
250.3
15.82
The Test: Test the claim that the PM section did
significantly better than the...
(6 points) For each problem, select the best response. (a) In testing hypotheses, which of the...
(6 points) For each problem, select the best response. (a) In testing hypotheses, which of the following would be strong evidence against the null hypothesis? A. Obtaining data with a large P-value. B. Using a small level of significance. C. Using a large level of significance. D. Obtaining data with a small P-value. (b) In formulating hypotheses for a statistical test of significance, the null hypothesis is often A. a statement of "no effect" or "no difference". B. the probability...
The following table summarizes information from a randomized
clinical trial that compared two treatments (medication and
placebo) from a respiratory disorder. Outcomes were recorded as
either favorable or unfavorable.
(a) (2 points) Write null and alternative hypotheses about the
possible relationship between the two variables.
(b) (4 points) Calculate the table of expected counts for these
data.
(c) (2 points) Calculate the value of the χ 2 statistic for
testing your null hypothesis from (a). You must show your work...
INFERENCE FOR CATEGORICAL DATA DATA ACTIVITY 1) The table below organizes data on gender and responses to the following question: How intelligent do you think you are compared with others your age? Intelligence Count Female Below Average 437 Average 2243 Above Average 4072 Gender Male 456 1643 4593 1a) We would like to test whether there is a statistical difference between how males and females rate their intelligence compared to their peers. In this context, which is the explanatory variable...
Section 12.3 Multiple Linear Regression:
Number ONE:
Statistical software was used to fit the model E(y)Pox1 2x2 to n 20 data points. Complete parts a through h EEB Click the icon to see the software output. Data Table The regression equation is Y-1738.93 - 384.54x1 517.39x2 Predictor Constant X1 X2 Coef 1738.93 - 384.54 -517.39 SE Coef 369.06 101.65 - 3.78 0.002 353.04 - 1.47 0.162 4.71 0.000 s-172.003 R-sq-55.0% R-sq(adj):49.0% Analysis of Variance MS Source Regression Residual Error 17...
A multinomial experiment with k- 4 cells and associated cell counts produced the data shown in the following table. Category 1 Category 2 Category 3 Category 4 62 |42 |37 Test the following hypothesis: Ho: pi-P2 = P3 = p4 , HA: At least one of the proportions exceeds 1/4. Calculate the Chi-Squared,x2 test statistic. Round your answer to 2 decimal places A multinomial experiment with k = 4 cells and associated cell counts produced the data shown in the...
a.) Are the conditions for running this test stratified?
- Yes, all observed counts are bigger than 5.
- Yes, the mean number of counts is bigger than 10.
- Yes, the total number of rolls is bigger than 10.
- Yes, all expeced counts are bigger than 10.
b.) State the null hypothesis.
- The data fit the distribution for a fair six-sided die.
- The data do not fit the distribution for fair six-sided
die.
c.) What are...
The data in the Tollowing table are the frequency counts for 40o observations on the number of bacterial colonies within the field of a microscope, using samples of milk film. Is there sufficient evidence to claim that the data do not fit the Poisson distribution? (Use a-0.05.) State the null and alternative hypotheses. O My The data fit a Poisson distribution. The data do not fit a Poisson dstribution. O Mo The data do not fit a Poisson distribution. The...
6. (4 points) The data and sample regression equation on plant weight x (in grams) and quantity of volatile emissions y in hundreds of nanograms) are given below. Presuming that the assumptions for regression inferences are met, use SPSS to decide at significance level 0.10 whether the data provide sufficient evidence to conclude that the predictor variable is useful for predicting the response variable. Perform the five steps of hypothesis testing using a p-value test. 57 83 57 63 565...
There are two sections of statistics, one in the morning (AM)
with 24 students and one in the afternoon (PM) with 27 students.
Each section takes an identical test. The PM section, on average,
scored higher than the AM section. The results are summarized in
the table below.
Necessary information:
n
x
s2
s
PM (x1)
27
80.8
277.5
16.66
AM (x2)
24
70.9
250.3
15.82
The Test: Test the claim that the PM section did
significantly better than the...
(6 points) For each problem, select the best response. (a) In testing hypotheses, which of the following would be strong evidence against the null hypothesis? A. Obtaining data with a large P-value. B. Using a small level of significance. C. Using a large level of significance. D. Obtaining data with a small P-value. (b) In formulating hypotheses for a statistical test of significance, the null hypothesis is often A. a statement of "no effect" or "no difference". B. the probability...
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