Aresearcher is wondering whether the smoking habits of young adults (18-25 years of age) in a certain city in the u. s. are different from the proportion of the general population of young adults in the u. s. a recent study stated that the proportion of young adults who reported smoking at least twice a week or more in the last month was 0.16. the researcher collected data from a random sample of 75 adults in the city of interest. state the hypotheses to be tested for this study. select one: a. h0: p = 0.16; ha: p < 0.16 b. h0: p = 0.16; ha: p > 0.16 c. h0: p = 0.16; ha: p ≠ 0.16 d. h0: p ≠ 0.16; ha: p < 0.16

c. H0: p = 0.16; Ha: p ≠ 0.16

Step-by-step explanation:

We know that ,

Null hypothesis is a statement about the population parameter() and contains equality (=),≤ or  ≥ signs.

Alternative hypothesis is also statement about the population parameter() but against null hypothesis and contains signs < , > or ≠.

In the given situation , the parameter is p (population proportion).

A recent study stated that the proportion of young adults who reported smoking at least twice a week or more in the last month was 0.16.

i.e. the point estimate of the population proportion(p) of the young adults who reported smoking at least twice a week or more is 0.16.

Now, the hypotheses to be tested for this study would be :

Hence, the correct answer is  c. H0: p = 0.16; Ha: p ≠ 0.16

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