Question

13. Express the null hypothesis and the alternative hypothesis in symbolic form. Use the correct symbol (u, P, o) for the indicated

parameter.


A psychologist claims that more than 4.1% of the population suffers from professional problems due to extreme shyness. Use P, the true percentage


of the population that suffers from extreme shyness.


OHo:p> 4.1%


Hips 4.1%



OHo: P = 4.1%


H:p> 4.1%


OHo: p < 4.1%


Hip 24.1%



OHo: P = 4.1%


Hip < 4.1%

Answer 1

Null Hypothesis,
`H_0` : P = 4.1%

Alternate Hypothesis,
`H_A` : P > 4.1%

Explanation:

We are given that a psychologist claims that more than 4.1% of the population suffers from professional problems due to extreme shyness.

Let p = true percentage of the population that suffers from extreme shyness.

So, Null Hypothesis,
`H_0` : P = 4.1%

Alternate Hypothesis,
`H_A` : P > 4.1%

Here, null hypothesis states that % of the population who suffers from professional problems due to extreme shyness is equal to 4.1%.

On the other hand, alternate hypothesis states that more than 4.1% of the population suffers from professional problems due to extreme shyness.

So, the above hypothesis would be appropriate for conducting the test.