Like any seeds, watermelon seeds lose their viability over time. If they've been left sitting for years, it's possible that only a small proportion of the seeds may sprout when planted. If they have been stored in a cool, dark, dry location, they have a better chance of sprouting. Drake has a large quantity of old watermelon seeds he's been saving, and now wants to know how many of them may still be able to sprout.He randomly selects100seeds from the set, places them between damp paper towels, and puts them in a plastic baggie in a warm spot on the counter. He finds that58out of the100seeds do sprout. Does this provide good evidence that over half of all of the seeds will sprout?

(a)What proportion of Drake's tested seeds actually sprouted?

p=

(b)State the appropriate null and alternative hypotheses.

H₀: p ? < = > 0.5

H_a: p ? < = > 0.5

(c)What is the value ofz, the test statistic, for this test? (Round your answer to two decimal places.)

z=

(d)At a significance level of 0.05, what conclusion would you write about whether Drake has evidence to support that more than half of all of his seeds will sprout?

Because theP-value is greater than our alpha level of 0.05, we reject the null hypothesis and conclude that there's enough evidence to state that more than half of all of the seeds will sprout.

Because theP-value is less than our alpha level of 0.05, we fail to reject the null hypothesis and conclude that there's not enough evidence to state whether more than half of all of the seeds will sprout.

Because theP-value is less than our alpha level of 0.05, we reject the null hypothesis and conclude that there's enough evidence to state that more than half of all of the seeds will sprout.

Because theP-value is greater than our alpha level of 0.05, we fail to reject the null hypothesis and conclude that there's not enough evidence to state whether more than half of all of the seeds will sprout.