Question

Express the null hypothesis and the alternative hypothesis in symbolic form. Use the correct symbol ( μ, rho, σ) for the indicated parameter. A psychologist claims that more than 5.8 percent of the population suffers from professional problems due to extreme shyness. Use p, the true percentage of the population that suffers from extreme shyness.

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

c) H0 : p = 5.8%

H1 : p > 5.8%

Explanation:

Hope this helps

Answer 2

c) H0 : p = 5.8%

H1 : p > 5.8%

Explanation:

At the null hypothesis, we test that the percentage is equal to a certain value. At the alternate hypothesis, we have a test about this percentage, if it is more, less, or different from the tested value.

A psychologist claims that more than 5.8 percent of the population suffers from professional problems due to extreme shyness

At the null hypothesis, we test if the percentage is 5.8%

`H_0: p = 5.8\%`

At the alternate hypothesis, we test if this percentage is more than 5.8%. So

`H_a: p > 5.8\%`

This means that the correct answer is given by option c.