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. Choose the correct answer below. A. Since the p-value < a, do not reject the null hypothesis. B. Since the p-value > a, do not reject the null hypothesis. C. Since the p-value a, reject the null hypothesis.

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

Step-by-step explanation:

We are given that 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.

Null Hypothesis, : p = 0.37  

Alternate Hypothesis, : p > 0.37

We are also provided with significance level, = 0.05 and p-value = 0.418

Now, the decision rule based on p-value ifs given by;

So, here P-value = 0.418

                         = 0.05

Clearly, p-value is more than the level of significance (), so we will not reject our null hypothesis.

Also, it will be concluded that the Jason claims of the proportion of young American adults who do not have a landline is greater than 37% is not correct.

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