Question

A software firm survey of 595 randomly selected adults showed that 38​% of them would erase all of their personal information online if they could. Complete parts​ (a) and​ (b) below.
(a) Express the original claim in symbolic form. Let the parameter represent the adults that would erase their personal information.
(b) Identify the null and alternative hypotheses.

Answer 1

Answer:

$a. \ p=0.38\\\\b. \ \ H_o:p=0.38\\\ \ \ \ \\H_A:p\neq 0.38$

Step-by-step explanation:

a. Let, p be the parameter being tested. From the sample, 38% would erase all of their personal information.

-we know that the value of probabilities are in the range [0,1]:

-Given that 38% is the true value of the claim can be symbolically expressed as p=0.5

b. The null hypothesis usually represents the true value parameter under study.

-As stated above, the true value of the parameter is 38%;

-Hence, the null hypothesis is $H_o:p=0.38$

#Alternative hypothesis is the control value, given the value of the parameter  p=0.38, the alternative hypothesis is that p has a different value other than 0.39:

$H_A:p\neq 0.38$