Question

Use the following information to complete parts (a) through (e) below. In a survey, adults were asked if they were happy or unhappy, and they were asked whether they were healthy or unhealthy. The accompanying table shows the results of the survey. Are healthy people also happy people? Use the $\alpha = 0.05$ level of significance. Healthy (success) Not healthy (failure) Happy (success) Not happy (failure) 2,499 80 115 54 Calculate test statistic. $\chi^2 = \boxed{} $(Round to two decimal places as needed.) Identify the P-value. The P-value is $\boxed{} $. (Round to three decimal places as needed.) A. Reject the null hypothesis because there is not sufficient evidence to conclude that the proportion of errors for the new method is less than the proportion of errors for the existing method. B. Reject the null hypothesis because there is sufficient evidence to conclude that the proportion of errors for the new method and the proportion of errors for the existing method are different. C. Do not reject the null hypothesis because there is not sufficient evidence to conclude that the proportion of errors for the new method and the proportion of errors for the existing method are different. D. Do not reject the null hypothesis because there is sufficient evidence to conclude that the proportion of errors for the new method is greater than the proportion of errors for the existing method.

          Use the following information to complete parts (a) through (e) below.
In a survey, adults were asked if they were happy or unhappy, and they were asked whether they were healthy or unhealthy.
The accompanying table shows the results of the survey. Are healthy people also happy people? Use the $\alpha = 0.05$ level of
significance.
Healthy (success) Not healthy (failure)
Happy (success)
Not happy (failure)
2,499
80
115
54
Calculate test statistic.
$\chi^2 = \boxed{}
$(Round to two decimal places as needed.)
Identify the P-value.
The P-value is $\boxed{}
$.
(Round to three decimal places as needed.)
A. Reject the null hypothesis because there is not sufficient evidence to conclude that the proportion of
errors for the new method is less than the proportion of errors for the existing method.
B. Reject the null hypothesis because there is sufficient evidence to conclude that the proportion of errors
for the new method and the proportion of errors for the existing method are different.
C. Do not reject the null hypothesis because there is not sufficient evidence to conclude that the
proportion of errors for the new method and the proportion of errors for the existing method are
different.
D. Do not reject the null hypothesis because there is sufficient evidence to conclude that the proportion of
errors for the new method is greater than the proportion of errors for the existing method.

Use the following information to complete parts (a) through (e) below.
In a survey, adults were asked if they were happy or unhappy, and they were asked whether they were healthy or unhealthy.
The accompanying table shows the results of the survey. Are healthy people also happy people? Use the α = 0.05 level of
significance.
Healthy (success) Not healthy (failure)
Happy (success)
Not happy (failure)
2,499
80
115
54
Calculate test statistic.
χ^2 =(Round to two decimal places as needed.)
Identify the P-value.
The P-value is .
(Round to three decimal places as needed.)
A. Reject the null hypothesis because there is not sufficient evidence to conclude that the proportion of
errors for the new method is less than the proportion of errors for the existing method.
B. Reject the null hypothesis because there is sufficient evidence to conclude that the proportion of errors
for the new method and the proportion of errors for the existing method are different.
C. Do not reject the null hypothesis because there is not sufficient evidence to conclude that the
proportion of errors for the new method and the proportion of errors for the existing method are
different.
D. Do not reject the null hypothesis because there is sufficient evidence to conclude that the proportion of
errors for the new method is greater than the proportion of errors for the existing method.

Added by Carol D.

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