Option B. The percentage of college students who work year-round is not 59%.
How did we arrive at this assertion?
In this scenario, the claim is that 59% of college students work year-round. Let
be the population proportion of successes, where a success is a college student who works year - round.
The null hypothesis
typically represents the status quo or the researcher's claim. In this case:
![\[ H_0: p = 0.59 \]](https://img.qammunity.org/2024/formulas/mathematics/high-school/aelaat6lu7x6ay27xxlz2hx0p9qnnzoiwx.png)
The alternative hypothesis
is what the researcher wants to find evidence for. In this case, the researcher is investigating if there is enough evidence to reject the claim that 59% of college students work year - round. Therefore, the alternative hypothesis is:
![\[ H_a: p \\eq 0.59 \]](https://img.qammunity.org/2024/formulas/mathematics/high-school/1l7hvw4hl1qhy6izj1ti7dbqig7osmcgkq.png)
So, the correct choice B. The percentage of college students who work year-round is not 59%. And the null and alternative hypotheses are:
Complete question:
An education researcher claims that 59% of college students work year-round. In a random sample of 600 college students, 354 say they work year-round At 0.01 is there enough evidence to reject the researcher's claim? Complete parts (a) through (e) below.
(a) Identify the claim and state
and H. Identify the claim in this scenario. Select the correct choice below and fill in the answer box to complete your choice (Type an integer or a decimal. Do not round)
A. At least..... % of college students work year - round
B. The percentage of college students who work year-round is not.....
C. At most........% of college students work year-round
D. .......% of college students work year-round.
Let p be the population proportion of successes, where a success is a college student who works year round. State
and H.