Question

The world bank reports that 1.7% of the us population lives on less than $2 per day. a policy maker claims that this number is misleading because of variation from state to state and rural to urban. to investigate this, she takes a random sample of 100 households in atlanta to compare with the national average and finds that 2.1% of the atlanta population live on less than $2/day. select the null and alternative hypothesis to test whether atlanta differs significantly from the national percentage.

Answer 1

The null hypothesis (H0) would be that the percentage of households in Atlanta living on less than $2 per day is equal to the national percentage, and the alternative hypothesis (Ha) would be that the percentage of households in Atlanta living on less than $2 per day is different from the national percentage. To test whether Atlanta differs significantly from the national percentage, a hypothesis test can be conducted using a two-sample proportion test or a chi-squared test for independence.

Step-by-step explanation:

The null hypothesis (H0) would be that the percentage of households in Atlanta living on less than $2 per day is equal to the national percentage (1.7%). The alternative hypothesis (Ha) would be that the percentage of households in Atlanta living on less than $2 per day is different from the national percentage.

To test whether Atlanta differs significantly from the national percentage, a hypothesis test can be conducted. This can be done using a two-sample proportion test or a chi-squared test for independence, depending on the data available.

A two-sample proportion test compares the proportions of two populations, in this case, the proportion of households in Atlanta and the national proportion. A chi-squared test for independence can be used if the data is provided in a contingency table format, with the number of households in Atlanta and the number of households in the rest of the country classified as living on less than $2 per day or not.