I need help with stats/2023, please help with TI-84 commands, thanks :)

A survey was conducted of newlyweds in a country who have a spouse of a different race or ethnicity from their own. The survey included random samples of

1000

newlyweds in Ethnicity A and

1000

newlyweds in Ethnicity B. In the survey,

13%

of respondents in Ethnicity A and

22%

of respondents in Ethnicity B had a spouse of a different race or ethnicity from their own. At

=0.01,

is there evidence to support the claim that the proportion of newlyweds in Ethnicity A who have a spouse of a different race or ethnicity from their own is less than the proportion of newlyweds in Ethnicity B that have a spouse of a different race or ethnicity from their own?

Let

p1

represent the proportion of newlyweds in Ethnicity A who have a spouse of a different race or ethnicity from their own. Let

p2

represent the proportion of newlyweds in Ethnicity B that have a spouse of a different race or ethnicity from their own. Write the null and alternative hypotheses.

H0:

Ha:

calculate the standardized test statistic.

z=_________________ (round to 2 decimal places)

calculate the P-value

P=________________ (round to 3 decimal places)

state the conclusion of the hypothesis test.

State P (1) ______________ alpha, (< or >) (2)________________ (fail to reject or reject) H0. There is (3) ________________(is or is not) evidence to support the claim that the proportion of newlyweds in (4) ______________ (Ethnicity A or Ethnicity B) who have a spouse of a different race or ethnicity from their own is less than the proportion of newlyweds in (5)____________________ (Ethnicity A or Ethnicity B) that have a spouse of a different race or ethnicity from their own.