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Answer:
There is no difference between two neighboring communities in terms of their usage of social media.
Step-by-step explanation:
In this case we need to determine whether there is any difference between two neighboring communities in terms of their usage of social media.
The hypothesis can be defined as follows:
<em>H₀</em>: There is no difference between two neighboring communities in terms of their usage of social media, i.e. <em>p</em>₁ - <em>p</em>₂ = 0.
<em>Hₐ</em>: There is a significant difference between two neighboring communities in terms of their usage of social media, i.e. <em>p</em>₁ - <em>p</em>₂ ≠ 0.
The test statistic is defined as follows:
The information provided is:
n₁ = 150
n₂ = 200
= 0.55
Compute the total proportions as follows:
Compute the test statistic value as follows:
The test statistic value is -0.94.
The decision rule is:
The null hypothesis will be rejected if the <em>p</em>-value of the test is less than the significance level, <em>α</em> = 0.01.
Compute the <em>p</em>-value as follows:
*Use a <em>z</em>-table.
The <em>p</em>-value of the test is 0.35.
<em>p</em>-value = 0.35 > <em>α</em> = 0.01.
The null hypothesis will not be rejected at 1% significance level.
Thus, it can be concluded that there is no difference between two neighboring communities in terms of their usage of social media.