According to the Pew Research Center, the proportion of the American population who use only a cellular telephone (no landline) is 37%. Jason claims that the proportion of young American adults who do not have a landline is greater than 37%. He conducts a survey with a sample of randomly selected young American adults and finds that 38% do not have landlines. If we set up our null and alternative hypotheses as follows: H 0 : p = 0.37 H a : p > 0.37 and find that: "p-value"=0.418. Does this provide enough evidence to support Jason's claim? Use an α=0.05 level of significance.

a. Since the p-value < α, do not reject the null hypothesis.

b. Since the p-value > α, do not reject the null hypothesis.

c. Since the p-value < α, reject the null hypothesis.

d. Since the p-value > α, reject the null hypothesis.

Question

Mathematics

Destiny

21 January, 21:29

According to the Pew Research Center, the proportion of the American population who use only a cellular telephone (no landline) is 37%. Jason claims that the proportion of young American adults who do not have a landline is greater than 37%. He conducts a survey with a sample of randomly selected young American adults and finds that 38% do not have landlines. If we set up our null and alternative hypotheses as follows: H 0 : p = 0.37 H a : p > 0.37 and find that: "p-value"=0.418. Does this provide enough evidence to support Jason's claim? Use an α=0.05 level of significance.

a. Since the p-value < α, do not reject the null hypothesis.

b. Since the p-value > α, do not reject the null hypothesis.

c. Since the p-value < α, reject the null hypothesis.

d. Since the p-value > α, reject the null hypothesis.

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Answers (1)

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Marlie Avery · Answer 1

Answer = b. Since the p-value > α, do not reject the null hypothesis.

Step-by-step explanation:

The null hypothesis is to be rejected if the p - value is less than the given significant level. In this case, the p-value is 0.418 and level of significance α=0.05; the p-value is greater than level of significance therefore we do not reject the null hypothesis.