Question

A psychologist claims that less than 5.8 percent of the population suffers from professional problems due to extreme shyness. Express the null hypothesis and the alternative hypothesis in symbolic form. Use p, the true percentage of the population that suffers from extreme shyness. Select one: a. H0: p = 5.8% H1: p < 5.8% b. H0: p > 5.8% H1: p ? 5.8% c. H0: p < 5.8% H1: p ? 5.8% d. H0: p = 5.8% H1: p > 5.8%

Answer 1

We are given that a Psychologist claims that less than 5.8 percent of the population suffers from professional problem due to extreme shyness.

We are supposed to set up the null and alternative hypotheses.

Since the claim is less than 5.8 percent, therefore, the claim will be mentioned in the alternative hypothesis. Hence the null and alternative hypotheses are given below:

`H_(0):p=5.8\%`

`H_(1):p<5.8\%`

Therefore, the option a. H0: p = 5.8% H1: p < 5.8% is correct