I need help with stats/2023, section 8.4, please help with Calc. Ti-84 commands, thank you

In a survey of

220

males ages 20 to 24,

42%

were neither in school nor working. In a survey of

250

females ages 20 to 24,

45%

were neither in school nor working. These samples are random and independent. At

=0.06,

can you support the claim that the proportion of males ages 20 to 24 who were neither in school nor working is less than the proportion of females ages 20 to 24 who were neither in school nor working? Complete parts (a) through (e) below.

(a) Write the claim and state the Ho and Ha:

The claim is "the proportion of males ages 20 to 24 who were neither in school nor working is

(1) (the same as

less than

different than

greater than)

the proportion of females ages 20 to 24 who were neither in school nor working."

Let p1 and p2 be the 2 population proportions for males and females, respectively, state H0 and Ha.

(b) find the critical value(s) and identify the rejection region(s)

The critical value(s) is(are) _________________________________

(use a comma to seperate answers as needed. round to 2 decimal places as needed.)

Identify the rejection region(s) choose the correct answer below.

A. z> z0

B. z < -z0 (less than or =to), z >- z0(greater than or =to)

C. z >- z0 (greater than or = to)

D. z=z0

E. z< -z0, z>z0

F. z < -z0

(c) find the standardized test statistic

z= _____________________________ (round to 2 decimal places as needed)

(d) decide whether to reject or fail to reject the null hypothesis

reject H0 or fail to reject H0

(e) interpret the decision in the context of the original claim.

choose the following

A. at the 6% significance level, there is sufficient evidence to reject the claim

B. at the 6% significance level, there is insufficient evidence to reject the claim

C. at the 6% significance level, there is insufficient evidence to support the claim

C. at the 6% significance, level, there is sufficient evidence to support the claim