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%

Null Hypothesis, : P = 4.1%

Alternate Hypothesis, : P > 4.1%

Step-by-step 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, : P = 4.1%

Alternate Hypothesis, : 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.

goog may have it for you

walter needs to make at least 5 more cookies but no more than 40. 5 ≤ x ≤ 40

step-by-step explanation:

20 ≤ x + 15 ≤ 55

subtract 15 from all parts

20-15 ≤ x + 15-15 ≤ 55-15

5 ≤ x ≤ 40

this means how many more cookies he has to make

walter needs to make at least 5 more cookies, but no more than 40 cookies; 5 ≤ x ≤ 40