Question

Write the null and alternative hypotheses you would use to test each situation. Complete parts a through c. a) In the 1950s, only about 40% of high school graduates went on to college. Has the percentage changed? H0: 0.40 vs. HA: 0.40 b) Twenty percent of cars of a certain model have needed costly transmission work after being driven between 50,000 and 100,000 miles. The manufacturer hopes that a redesign of a transmission component has solved this problem. H0: 0.20 vs. HA: 0.20 c) We field-test a new-flavor soft drink, planning to market it only if we are sure that over 60% of the people like the flavor. 

          Write the null and alternative hypotheses you would use to test each situation. Complete parts a through c.
a) In the 1950s, only about 40% of high school graduates went on to college. Has the percentage changed?
H0: 0.40 vs. HA: 0.40
b) Twenty percent of cars of a certain model have needed costly transmission work after being driven between 50,000 and 100,000 miles. The manufacturer hopes that a redesign of a transmission component has solved this problem.
H0: 0.20 vs. HA: 0.20
c) We field-test a new-flavor soft drink, planning to market it only if we are sure that over 60% of the people like the flavor.
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Write the null and alternative hypotheses you would use to test each situation. Complete parts a through c. a) In the 1950s, only about 40% of high school graduates went on to college. Has the percentage changed? H0: 0.40 vs. HA: 0.40 b) Twenty percent of cars of a certain model have needed costly transmission work after being driven between 50,000 and 100,000 miles. The manufacturer hopes that a redesign of a transmission component has solved this problem. H0: 0.20 vs. HA: 0.20 c) We field-test a new-flavor soft drink, planning to market it only if we are sure that over 60% of the people like the flavor.

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Elementary Statistics a Step by Step Approach
Elementary Statistics a Step by Step Approach
Allan G. Bluman 9th Edition
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Write the null and alternative hypotheses you would use to test each situation. Complete parts a through c. a) In the 1950s, only about 40% of high school graduates went on to college. Has the percentage changed? H0: 0.40 vs. HA: 0.40 b) Twenty percent of cars of a certain model have needed costly transmission work after being driven between 50,000 and 100,000 miles. The manufacturer hopes that a redesign of a transmission component has solved this problem. H0: 0.20 vs. HA: 0.20 c) We field-test a new-flavor soft drink, planning to market it only if we are sure that over 60% of the people like the flavor.
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Transcript

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00:02 Hello students, according to the given question we have to find null and alternative hypothesis.
00:11 So in the a bit they have given p is equal to 40 percent, that means 0 .40.
00:20 So we have to test if this percentage changed or not.
00:24 So this is non -directional and this is a two tail test.
00:43 So the null hypothesis h0 such that p is equal to 0 .40 versus alternative hypothesis h is not equal to 0 .40.
00:59 In the b bit they have given p is equal to proportion of proportion of cars driver proportion of car, proportion of car, proportion of car, cars driven between 50 ,000 and 1 lakh miles.
01:27 Here manufacturer hopes that a redesign of a transmission component has solved this problem.
01:36 That means due to redesign, due to redesign there is decrease in costly transmission, costly transmission work that between 550 ,000 and 1 lakh miles.
02:07 So this is left tail test.
02:16 So h0 such that p is equal to 0 .20 versus h .a...
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