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GarryVolchara [31]
3 years ago
7

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.
Mathematics
1 answer:
Norma-Jean [14]3 years ago
7 0

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

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