Formulate hypotheses for testing a population proportion. Write the null and alt

Question

Formulate hypotheses for testing a population proportion. Write the null and alternative hypotheses you would use to test each of the following situations: (1) Is a coin fair? (2) Only 34% of people who try to quit smoking succeed. A company claims that using their chewing gum can help people quit. (3) In the 1950s only about 40% if high school graduates went on to college. Has the percentage changed? (4) A large city's DMV claimed that 80% of candidates pass driving tests, but a newspaper reporter claims that this rate is lower than the DMV's reported value

Explanation / Answer

1. (A) Is a coin fair?

Null Hypothesis : H0 : The coin is fair : phead= ptail= 0.5

Alterantive Hypothesis : Ha : The coin is unfair : phead ptail 0.5

(B) Company claims that using their chewing gum can help people quit

Null Hypothesis : H0 : Their is no decrease between proportion of people who uses gum quitted smoking and the general population who quit smoking who try : pgum>= 0.34

Alterative Hypothesis : Ha : Their is significant decrease in proportion of people who uses gum quitted smoking and the general population who quit smoking who try : pgum< 0.34

(C) Percentage of people went to college now.

Null Hypothesis : H0 : Their is no change between proportion of people who goes to college now and who went in 1940s : pcollege= 0.40

Alterative Hypothesis : Ha : Their is significant change between proportion of people who goes to college now and who went in 1940s : pcollege 0.40

(d) Driving Tests results are lower than what is reported in DMV

Null Hypothesis : H0 : Their is no decrease in proportion of candidates passing driving tests by reporter and reported by DMV: preporter >= 0.80

Alternative Hypothesis : Ha : Their is significant decrease between proportion of candidates passing driving tests by reporter and reported by DMV: preporter< 0.80

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