It was claimed that 75% of all dentists recommend a certain brand of gum for their gum-chewing patients. A consumer group doubted this claim and decided to test H0: p = 0.75 against the alternative hypothesis H1: p < 0.75, where p is the proportion of dentists who recommend that brand of gum. A survey of 390 dentists found that 273 recommended the given brand of gum.
(a) Which hypothesis would you accept if the significance level is α = 0.05?
(b) Which hypothesis would you accept if the significance level is α = 0.01?
(c) Find the p-value for this test.