A charity claims that a proportion of 0.75 of donations go to communities where the average family income is less than $20,000 a year. A watchdog group checks a random sample of 60 communities that received funds from the charity to determine if the proportion is different than 0.75 at a significance level of 0.05.

p^=

z=

p=

Since the p-value is (less or greater?) than the significance level 0.05, the null hypothesis (is rejected or is failed to be rejected?)

(Sufficient or insufficient?) evidence exists that the proportion of donations to communities with an average family income of less than $20,000 a year is different from 0.75.

Chart:

17584.20282

20700.83433

15840.71155

16582.83677

19151.04829

18769.34388

25975.45618

19717.24232

20165.07319

23717.82542

24226.15385

25452.56357

15287.00064

9655.356048

18748.00068

17440.11971

14738.10126

10834.10709

22579.52051

19795.33254

15218.17875

18723.75744

16303.30788

25016.3278

18354.1869

16888.94726

24042.37265

16909.69641

13574.29632

13835.85623

15047.01766

11995.34926

24841.88324

10384.64987

30794.8288

16525.35127

28853.54638

767.0667831

20227.75922

16507.4752

26571.49419

16124.97647

15266.13576

16311.45542

16525.70333

18756.37337

25839.33556

22158.03707

16326.4273

13462.19691

9560.257377

10232.22053

22882.95679

12376.45263

19721.00503

21717.36036

19565.98856

20420.14764

23226.88764

18434.88874