Asked by Kendall Smith on Jun 10, 2024

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Which of the following would be an appropriate alternative hypothesis?

A) The population proportion is less than 0.65.
B) The sample proportion is less than 0.65.
C) The population proportion is equal to 0.65.
D) The sample proportion is equal to 0.65.
E) The population proportion is less than 0.65 and the sample proportion is equal to 0.65.

Alternative Hypothesis

A hypothesis that is adopted when there is sufficient evidence to reject the null hypothesis, often denoted H1.

Population Proportion

The ratio or fraction of members in a population that have a particular characteristic, often denoted by P.

Sample Proportion

The fraction of the sample that displays a certain property or characteristic.

  • Frame hypotheses for null and alternative scenarios to examine variations between means and proportions of populations.
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Harwinder Kaur CheraJun 11, 2024
Final Answer :
A
Explanation :
The alternative hypothesis should state a specific deviation from the null hypothesis. A is the only choice that does this by stating that the population proportion is less than 0.65, which is different from the null hypothesis of the population proportion being equal to 0.65. B and D simply reference the sample proportion which is not the parameter of interest in hypothesis testing. C is the same as the null hypothesis and does not state a deviation from it. E is not specific enough as it includes both a deviation from the null hypothesis and a reference to the sample proportion.