We are interested in whether the proportions of female suicide victims for ages 15 to 24 are the same between the white and the black races in the United States. We randomly pick one yea ed eighty were aged 15 to 24. The estimate for black females is 330. Forty-three were aged 15 to 24. We wil suicide victims be our population. (Use a = 0.05.) NOTE: If you are using a Student's t-distribution for the is normally distributed. (In general, you must first prove that assumption, though.) Part ( a ) State the null hypothesis . O HO: PWS PB O HO : PW # PB O HO : PW = PE HO: PW > PE O HO : PW = PE E Part ( b ) State the alternative hypothesis . O HE: PW S PE O HE PW = PE O HE PW > PE O Ha PW = PB O HE PW * PE Part ( c ) In words , state what your random variable FW - F's repr O Pw - P's represents the difference in proportions of white and black female suicide victims, aged 15 to 24. O FW - P's represents e victims, aged 15 to 24. . Pw - P's represents the difference in the average amount of white and black female suicide victims, aged 15 to 24. O FW- P's represents the average difference in proportions of white and black female suicide victims, aged 15 to 24. Part ( d ) State the distribution to use for the test. (Round your answers to four decimal places.) PW - PB - 1 ( Part ( e ) What is the test statistic? (If using the z distribution round your answer to two decimal places, and if using the t distribution round your answer to three decimal places.) -Select-= Part ( 1 ) What is the p-value? (Round your answer to four decimal places. Explain what these then there is a chance equal to ns is at least 1.3%. O If Ho is true, then there is a chance equal to the p-value tha tion of 15 to 24 year old black female suicide victims is at least 1.3% O If Ho is true, then there If Ho is false, then there is a cha de victims and the proportion of 15 to 24 year old black female suicide victims is at most 1. 3%. Part (9) Sketch a picture of this situation. Label and scale the horiz gion(s) corresponding to the p-value. p-valu - Pw - P'B p-value 1/2(p-value (2(p-value) 1/2(p-valu (2(p-value) - Pw - P'B - Pw - P's Part (h) Indicate the correct decision ('reject or "do not reject" the null hypothesis), the reason for it, and write an appropriate conclusion. (1) Alpha (Enter an exact number as an integer, fraction, or decimal.) i) Decision: O reject the null hypothesis do not reject the null hypothesis i) Reason for dec O Since p-value c, we do not reject the null hypothesis. O Since p-value > a, we reject the null hypothesis. O Since p-value