Question

A national magazine stated that atâ most, 16% of millennials have a sports club membership. Formulate an appropriateâ one-sample test of hypothesis to test this.
Determine the nullâ hypothesis, H0â, and the alternativeâhypothesis, H1.

Answer 1

Answer:

$H_0: p\leq0.16$

$H_1: p>0.16$

Step-by-step explanation:

Let p be the population proportion of millennials have a sports club membership.

Given : A national magazine stated that at-most, 16% of millennials have a sports club membership.

That means p ≤ 0.16 .  (less than or equal to 0.16 or 16%)

Since the null hypothesis contains equality sign  , so the null hypothesis for this objective will be : $H_0: p\leq0.16$

Also, The alternative hypothesis is just the opposite statement of the null hypothesis , so our alternative hypothesis becomes : $H_1: p>0.16$

Hence, the null hypothesis and alternative hypothesis are :

$H_0: p\leq0.16$

$H_1: p>0.16$