Question

Less than 51% of workers got their job through networking. Express the null and alternative hypotheses in symbolic form for this claim (enter as a percentage). H0 : p H1 : p

Use the following codes to enter the following symbols:
≥≥ enter >=
≤≤ enter <=
≠≠ enter !=

Answer 1

The null hypothesis (H0) is p >= 51% and the alternative hypothesis (H1) is p < 51%.

Step-by-step explanation:

The null and alternative hypotheses can be expressed in symbolic form as follows:

H0: p ≥ 51%

H1: p < 51%

Where 'p' represents the percentage of workers who got their job through networking. The null hypothesis (H

0

) assumes that the percentage is greater than or equal to 51%, while the alternative hypothesis (H

1

) suggests that the percentage is less than 51%.

Answer 2

Null Hypothesis,
`H_0` : p
`\geq` 51%

Alternate Hypothesis,
`H_A` : p < 51%

Step-by-step explanation:

We are given that less than 51% of workers got their job through networking. We have to express the null and alternative hypotheses in symbolic form for this claim.

Let p = population proportion of workers who got their job through networking

So, Null Hypothesis,
`H_0` : p
`\geq` 51%

Alternate Hypothesis,
`H_A` : p < 51%

Here, the null hypothesis states that greater than or equal to 51% of workers got their job through networking.

On the other hand, the alternate hypothesis states that less than 51% of workers got their job through networking.

Hence, this is the appropriate hypothesis that can be used.