Write two equivalent expressions involving decimals that illustrate the Distributive Property.
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Answer:
The proportion of young adults (18-25 years of age) in a certain city in the U.S. are not different from the proportion of the general population of young adults in the U.S.
Step-by-step explanation:
The hypothesis for the test can be defined as:
<em>H</em>₀: The proportion of young adults (18-25 years of age) in a certain city in the U.S. are not different from the actual proportion, i.e. <em>P</em> = <em>p</em><em>.</em>
<em>Hₐ</em>: The proportion of young adults (18-25 years of age) in a certain city in the U.S. are different from the actual proportion, i.e. <em>P</em> ≠ <em>p</em><em>.</em>
The test statistic is defined as:
Assume that the significance level of the test is, <em>α</em> = 0.05.
The decision rule is:
If the <em>p</em>-value of the test is less than the significance level then the null hypothesis will be rejected. And vice-versa.
It is provided that the <em>p</em>-value of the test is, <em>p</em>-<em>value</em> = 0.076.
The <em>p-</em>value = 0.076 > <em>α</em> = 0.05.
Thus, the null hypothesis will not be rejected at 5% level of significance.
<u>Conclusion</u>:
The proportion of young adults (18-25 years of age) in a certain city in the U.S. are not different from the proportion of the general population of young adults in the U.S.