Question

A recent study suggested that 81% of senior citizens take at least one prescription medication. Amelia is a nurse at a large hospital who would like to know whether the percentage is the same for senior citizen patients who go to her hospital. She randomly selects 59 senior citizens patients who were treated at the hospital and finds that 49 of them take at least one prescription medication. What are the null and alternative hypotheses for this hypothesis test?

Answer 1

Null hypothesis: $p = 0.81$

Alternative hypothesis: $p \ne 0.81$

The null is based on a recent study that 81% of the population (in this case senior citizens) takes at least one medication. The alternative hypothesis is basically the flip of the claim made in the null.

If Amelia wanted to know if the percentage was less than 81%, then the alternative would be p < 0.81

If Amelia wanted to know if the percentage was larger than 81%, then the alternative would be p > 0.81

However, she wants to know if the percentage is 81%.

Answer 2

If Amelia needed to know if the percentage was less than 81 percent, she could use p < 0.81 as an alternative and if the percentage was larger than 81 percent, she could use p > 0.81 as an alternative.

What are null hypotheses and alternative hypotheses?

In null hypotheses, there is no relationship between the two phenomenons under the assumption or it is not associated with the group. And in alternative hypotheses, there is a relationship between the two chosen unknowns.

A recent study suggested that 81% of senior citizens take at least one prescription medication.

Amelia is a nurse at a large hospital who would like to know whether the percentage is the same for senior citizen patients who go to her hospital.

She randomly selects 59 senior citizens patients who were treated at the hospital and finds that 49 of them take at least one prescription medication.

The null and alternative hypotheses for this hypothesis test will be

Null hypotheses

p = 0.81

Alternative hypotheses

p ≠ 81

According to a recent study, 81 percent of the population (in this case elderly folks) uses at least one drug. The alternate hypothesis is essentially the inverse of the null hypothesis.

If Amelia needed to know if the percentage was less than 81 percent, she could use p < 0.81 as an alternative.

If Amelia needed to know if the percentage was larger than 81 percent, she could use p > 0.81 as an alternative.

More about the null hypotheses and alternative hypotheses link is given below.

https://brainly.com/question/9504281