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.

option 1 is correct.

step-by-step explanation:

y varies inversely with x and constant of variation is 4

the equation will be:

y = k/x

where k =4 so,

y = 4/x

if we put values of x of option 1 in the above equation and find values of y

y = 4/-2 => y =-2

y = 4/-1 => y = -4

y = 4/1 => y = 4

y = 4/2 => y =2

so, all the values of x and y are correct.

if we put values of x given in other options and find value of y we cannot find whole table satisfying the equation.

hence option 1 is correct.

7! = 7×6×5×4×3×2

3! = 3× 2

as 7! is multiple of 3! because 7! contains 3! that is 3× 2 as factor

so 7! /(3! ) = 7× 6× 5× 4

= 42 × 20

= 840

its b) 840✌✌✌

dhruv⭐