49-28=21
51-32=19
23x7=161
14x5=70
Since the standard deviation is the square root of variance. The only times where the standard deviation is greater than the variance is when the variance is between the values 0 and 1 exclusively. For example, the square root of 0.25 is 0.5.
Answer:
0
Step-by-step explanation:
Answer:
The proportions differ from those reported in the survey.
Step-by-step explanation:
The Chi-square goodness of fit test would be used to determine whether the proportions differ from those reported in the survey.
The hypothesis for the test can be defined as follows:
<em>H</em>₀: The proportions does not differ from those reported in the survey.
<em>Hₐ</em>: The proportions differ from those reported in the survey.
Assume that the significance level of the test is, α = 0.01.
The Chi-square test statistic is given by:

Consider the Excel sheet provided.
The Chi-square test statistic value is 191.32.
The <em>p</em>-value of the test is:

The <em>p</em>-value of the test is very small. The null hypothesis will be rejected at 1% level of significance.
Thus, concluding that the proportions differ from those reported in the survey.
You could use a simple calculator it's only 10.