Question

The Pew Research Center reported in 2017 that only 12% of Americans supported cuts in federal spending on Medicaid. Is the percentage smaller this year? We tested the following hypotheses at the 5% level of significance. H 0: This year the proportion of Americans who support federal spending cuts to Medicaid is 0.12 H a: This year the proportion of Americans who support federal spending cuts to Medicaid is less than 0.12 The P-value is 0.026, so we reject the null hypothesis and accept the alternative hypothesis. We conclude that this year the proportion of Americans who support federal spending cuts to Medicaid is less than 0.12 What type of error is possible here? Group of answer choices neither Type II both Type I

Answer 1

The type of error that is possible in this scenario is a Type I error.

Step-by-step explanation:

The type of error that is possible in this scenario is a Type I error.

A Type I error occurs when we reject the null hypothesis, even though it is true.

In this case, the null hypothesis states that the proportion of Americans who support federal spending cuts to Medicaid is 0.12, while the alternative hypothesis states that the proportion is less than 0.12.

Based on the given information, the P-value is 0.026, which is less than the significance level of 0.05.

Therefore, we reject the null hypothesis and accept the alternative hypothesis, concluding that this year the proportion of Americans who support federal spending cuts to Medicaid is less than 0.12.