Question

According to the Statistical Abstract of the United States, in 2000, 10.7% of Americans over 65 years of age use the Internet. A researcher believes the proportion of Americans over 65 using the Internet has changed since then. Determine the null and alternative hypotheses. Label which one is the claim. You must write the correct parameter, inequality/equality symbol and value to receive full credit.

Answer 1

H0 : μ = 0.107

H1 : μ ≠ 0.107

Explanation:

The claim is the alternative hypothesis. H1 ; which is a researcher's opinion that the proportion of Americans aged 65 and above using the internet as changed from the mean value of 10.7% (0.107). The direction of the change is not given, hence. We cannot use the greater or less Than sign as the direction of the change isn't specified by the researcher or data Given. Hence, the shift could be either to the right or left. Hence, the use of the equal to and not equal to sign.

The null will oppose the alternative hypothesis and take the stance that the proportion hasn't changed from the initial mean.