Question

A survey was conducted of newlyweds in a country who have a spouse of a different race or ethnicity from the own. The survey included random samples of 1000 rewlyweds in Ethnicity A and 1000 newlyweds in Ethnicity. In the survey, 13% of respondents in Ethnicity A and 23% of respondents in Ethnicity Bhad a spouse of a different race or twity from their own. A 0.01, is there evidence to support the claim that the proportion of newlyweds in Ethnicity Awho have a spouse of a different race or ethnicity from their own is less than the proportion of newlyweds in Ethnicity that have a spouse of a different race orhnicity from their own Let y represent the proportion of newlyweds in Ethnicity A who have a spouse of a different race or ethnicity from their own. Lat pe represent the proportion of newlyweds in Ethnicky that have a spouse of a different race or ethnicity from her own State the nul and alternative hypotheses. OB HD, 22 O A Ho: PR Hy :D, *P2 OD HP:P HP:22 OLH: 0,52 HD2 OCH Hy: Pipa OR HD, H: P15P2 Calculate the standardized test to (Round to two decimal places as needed.) Calculate the P-value (Pound to three decimal places as needed) State the conclusion of the hypothesis test. Snoep Hy. There evidence to support the claim that the proportion of newlyweds in that have a spouse of a different race or ethnicity from their own who have a spouse of a different race or ethnicity from their own is less than the proportion of newlyweds in

Answer 1

Given Sample proprotions are P1 0.13 nj 1000 12 = 1000 P2 0.23 P1-P2 0 Claim and a. 0.05 Null and alternate hypothesis are H. : P1 - P2 > 0 H: P1 - P2 0 Critical value Za 2 -1.645 NORM.S.INV(a) (Uisng excel) n1x1 +n2x2 Pooled proportion p = n1+n2 0.18 Test statistic z= p1 - 2 -5.8202525 -5.82 Jø (1-5).(na p-value =P(Z <20) 0.0000 T.DIST(t0,df,1) (Uisng excel)

Since p-value < 0.05 hence reject the null hypothesis Since p<a reject HO, there is suficient evidence to support the calim that the proprotion of newlyweds in EthnicityA who have a spose of a different race or ethinicity from their own Is less than the proprotion of newlyweds in EthnicityB that have a spouse of a diffrent race or ethicity from their own

Problem 2 X-Binomial (n=14, p = 0.72) PMF of the binomial distribution is P(X=x)= (Q) p* (1-p)-> where x =0,1,2,3.... P(exactly 8) =P(x=8) =(1,4) 0.728 (1-0.72)24-8 14! 8!(14-8) 0.728(1-0.725) = 0.104511 = 0.105 Option B is correct

Problem 3 Total number of flights n(s) = 1000 Number of flights arrive n(E) = 814 814 407 P(flight arrive) = n(E) n(s) 1000 500 Option C is correct