Question

Determining null and alternative hypothesesA presidential candidate claims that the proportion of college students who are registered to vote in the upcoming election is at least 62% . Suppose that we want to sample a number of college students and carry out a hypothesis test to see if this claim may be refuted. State the null hypothesis H0 and the alternative hypothesis H1 that we would use for this test.What is:H0_____.H1_____.

Answer 1

`H_0: p =0.62\\H_a: p\geq 0.62`

Explanation:

Given that a presidential candidate claims that the proportion of college students who are registered to vote in the upcoming election is at least 62% .

Let p be the proportion of college students who are registered to vote in the upcoming election

we have to check the claim whether p is actually greater than or equal to 62%

For this a hypothesis to be done by drawing random samples of large size from the population.

The hypotheses would be the proportion is 0.62 against the alternate that the proportion is greater than or equal to 0.62

`H_0: p =0.62\\H_a: p\geq 0.62`

(right tailed test at 5% level)