Answer:
The hypothesis is:
<em>H₀</em>: <em>p</em> = 0.80 vs. <em>Hₐ</em>: <em>p</em> ≠ 0.80.
Step-by-step explanation:
The claim made by the reporter is that 80% of the readers of his newspaper owns laptops.
The hypothesis to test this claim can be defined as:
<em>H₀</em>: The population proportion of the readers of this newspaper owns laptops is 0.80, i.e. <em>p</em> = 0.80.
<em>Hₐ</em>: The population proportion of the readers of this newspaper owns laptops is different from 0.80, i.e. <em>p</em> ≠ 0.80.
A <em>z</em>-test for single proportion can be used to draw conclusion about this test.
The information provided is:
The sample size is, <em>n</em> = 300.
The sample proportion is, = 0.74.
The test statistic can be computed using the formula:
The decision rule of the test will be:
If the <em>p</em>-value of the test is less than the significance level, <em>α</em> then the null hypothesis will be rejected. And if the <em>p</em>-value is more than the significance level then the null hypothesis will be accepted.