Question

CHEGG When testing the claim that bags of M&M candies will have less than 3% broken pieces, which of the following would be the null hypothesis and alternative hypothesis? Group of answer choices H0: p ≤ 0.03 Ha: p > 0.03 H0: p = 0.03 Ha: p ≠ 0.03 H0: p ≥ 0.03 Ha: p < 0.03 H0: p < 0.03 Ha: p > 0.03

Answer 1

Answer:

H0: p ≥ 0.03 Ha: p < 0.03

Step-by-step explanation:

1) Previous concepts

A hypothesis is defined as "a speculation or theory based on insufficient evidence that lends itself to further testing and experimentation. With further testing, a hypothesis can usually be proven true or false".  

The null hypothesis is defined as "a hypothesis that says there is no statistical significance between the two variables in the hypothesis. It is the hypothesis that the researcher is trying to disprove".

The alternative hypothesis is "just the inverse, or opposite, of the null hypothesis. It is the hypothesis that researcher is trying to prove".

2) Solution to the problem

On this case we want to test is $p$, where:

$p$ represent the true proportion for the population of broken pieces

What we want to proof need's to be on the alternative hypothesis and the complement on the null hypothesis.

So the correct system of hypothesis for this case would be:

Null hypothesis: $p\geq 0.03$

Alternative hypothesis: $p < 0.03$

H0: p ≥ 0.03 Ha: p < 0.03