Can some one please look over this and see if I made any errors. I think #4 might be wrong but I am not sure. I just need someone to let me know if I did this correctly? Thanks

MAT 157 Inferential Statistics Final Project 2021

1.7% of Americans do not use the internet.

https://www.pewresearch.org/fact-tank/2021/04/02/7-of-americans-dont-use-the-internet-who-are-they/

2.A hypothesis I would like to test: Does Polk County have more than 7% of its population not using the internet.

3.I will be attempting to infer my results from the population of Polk County.

4.A. H0:p0.07 against HA:p>0.07

B. The sampling method I used was simple random sample. I randomly choose 30 people from all age groups in Polk County and asked if they have the internet and if they use the internet.

C. My sample statistic is x= 30 people from Polk County.

D. The statistical test I used was a z-test.

The sample proportion is given by p^=x/n = 29/30 =0.9666667

The z-statistic is 19.24869

(.9666667-.07) / (\sqrt((.07(1-.07))/(30)))

E. The p-value for this data set is p < .0001.

F. The P value (<0.00001) is less than the level of significance (0.10), therefore, we reject the null hypothesis and accept the alternative hypothesis: Ha:p>0.07

G. Using a 90% confidence level, the sample data has a lower limit of 0.91183821 and an upper limit of 1.0214951.

H. The statistical study shows with a 90% confidence level that the proportion of people who do not use the internet in Polk County is less than 7% relative to the 7% percent of Americans that do not use the internet.