means were $ NOTE: If you are using a Student's t-distribution for the ssumption, though.) Part ( a ) State the null hypothesis . O HO : Mo S Hu O HO : HE = Hu O HO : He # Hu O HO : 1 6 = Hu ( Part ( b ) State the alternative hypothesis. O Hai Me = Hu O HE Me = Hu O Ha Ha > Hu Part (c) In words, state what your random variable X - Xy represents. O X - Xu represents the difference in the average cost of textbooks at four-year universities and community colleges. O X - Xy represents the average difference in the cost of textbooks universities and community colleges. O X - *y represents the average cost of textbooks . O X. - Xu represents the difference in the cost of textbooks at four-year universities and community colleges. ( Part ( d ) State the distribution to use for the test. (Round your answers to two decimal places. ) X - Part (e ) -Select-. = What is the test statistic ? ( If using the z distribution round your answer to two decimal places, and if using the t distribution round Part (f ) What is the p-value? (Round your answer to four decimal places.) Explain what the p-value means for this problem. O If Ho is false, then there is a chance equal to the an or $70 more munity college. O If Ho is false, then there isa community college is -$70 to $70 O If Ho is true, then there is a chance equ s each year at the four-year university and the community college is -$70 to $70 If Ho is true, then there is a chance equ year university is at least $70 less than or $70 more than the sample average amount spent at the community college Part (9) Sketch a picture of this situation. Label and scale the horizontal axis and shade the region(s) corresponding to the p-value. 1/2 (p-valu (2(p-value) 1/2(p-value (2(p-value) - Xu - Re - Xu p-value P-value Xe - Xu - Re - Xu 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 O do not reject the null hypothesis O Since the p-value a, we do not reject the null hypothesis. O Since the p-value > a, we reject the null hypothesis. O Since the p-value