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

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.

than the significance level 0.05, the null hypothesis

.

Pick greater less

Pick fails to be rejected is rejected

Pick Sufficient Insufficient

Use Sheet 8 of the Excel file, which gives the average family incomes for the 60 communities, to calculate p^, the z-score, and the p-value.

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22102.34538

19230.70983

10524.63431

15574.55973

22955.34585

20156.86904

14146.10017

13934.86288

18814.41811

24729.40208

18099.44342

18094.57003

19855.24673

26227.10318

10172.85598

17326.21723

20742.33129

18245.58767

26793.34789

18746.46766

15024.89515

7850.793716

21971.77513

30918.97946

13486.58366

16443.1267

17816.94093

20501.37774

13403.94043

24902.91198

18534.76288

13200.07533

9534.121003

21173.16423

24454.80204

19733.54186

17896.16805

17298.67316

17586.3935

12622.33216

15519.62447

29892.31156

24534.66483

30868.31661

22189.32289

24831.06565

21282.50375

19620.42361

13109.75117

19029.88796

17173.20852

14230.10117

15564.19681

20138.13011

24522.20415

16347.75667

17479.89171

19352.98862

23319.27661

23795.24314