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An opinion poll asked a random sample of high school couples in the United States whether they believe they will marry their high school sweetheart. A researcher believes more than 25% of high school couples believe they will marry. Which null and alternative hypotheses should be used to test this claim? (4 points)
H0: p = 0.25, Ha: p > 0.25
H0: p = 0.25, Ha: p < 0.25
H0: p = 0.25, Ha: p ≠ 0.25
H0: p > 0.25, Ha: p = 0.25
H0: p ≠ 0.25, Ha: p > 0.25

Respuesta :

The correct hypothesis for the test made in this problem are given by:

H0: p = 0.25, Ha: p > 0.25.

What are the hypothesis test?

At the null hypothesis, we test if the researcher is not correct, that is, if the proportion is of 25%, hence:

[tex]H_0: p = 0.25[/tex]

At the alternative hypothesis, we test if there is enough evidence for the researcher's claim, that is, if the proportion is greater than 25%, hence:

[tex]H_a: p > 0.25[/tex]

Hence the correct option is:

H0: p = 0.25, Ha: p > 0.25

More can be learned about hypothesis tests at https://brainly.com/question/16313918

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