Pay your taxes: According to the Internal Revenue Service, the proportion of federal tax returns for which no tax was paid was p = 0.326. As part of a tax audit, tax officials draw a simple random sample of n = 130 tax returns. Use the TI-84 Plus calculator as needed. Part 1 of 4 (a) What is the probability that the sample proportion of tax returns for which no tax was paid is less than 0.28? Round the answer to at least four decimal places. The probability that the sample proportion of tax returns for which no tax was paid is less than 0.28 is Part 2 of 4 X S (b) What is the probability that the sample proportion of tax returns for which no tax was paid is between 0.35 and 0.42? Round the answer to at least four decimal places. The probability that the sample proportion of tax returns for which no tax was paid is between 0.35 and 0.42 is X

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Use Ti- 84 

Part 4: less than or greater than
would or would not

**Pay your taxes:** According to the Internal Revenue Service, the proportion of federal tax returns for which no tax was paid was \( p = 0.326 \). As part of a tax audit, tax officials draw a simple random sample of \( n = 130 \) tax returns. Use the TI-84 Plus calculator as needed.

**Part 1 of 4**

(a) What is the probability that the sample proportion of tax returns for which no tax was paid is less than 0.28? Round the answer to at least four decimal places.

The probability that the sample proportion of tax returns for which no tax was paid is less than 0.28 is \(\boxed{ }\).

**Part 2 of 4**

(b) What is the probability that the sample proportion of tax returns for which no tax was paid is between 0.35 and 0.42? Round the answer to at least four decimal places.

The probability that the sample proportion of tax returns for which no tax was paid is between 0.35 and 0.42 is \(\boxed{ }\).
Transcribed Image Text:**Pay your taxes:** According to the Internal Revenue Service, the proportion of federal tax returns for which no tax was paid was \( p = 0.326 \). As part of a tax audit, tax officials draw a simple random sample of \( n = 130 \) tax returns. Use the TI-84 Plus calculator as needed. **Part 1 of 4** (a) What is the probability that the sample proportion of tax returns for which no tax was paid is less than 0.28? Round the answer to at least four decimal places. The probability that the sample proportion of tax returns for which no tax was paid is less than 0.28 is \(\boxed{ }\). **Part 2 of 4** (b) What is the probability that the sample proportion of tax returns for which no tax was paid is between 0.35 and 0.42? Round the answer to at least four decimal places. The probability that the sample proportion of tax returns for which no tax was paid is between 0.35 and 0.42 is \(\boxed{ }\).
### Part 3 of 4

**(c) Probability Calculation**

- **Question:** What is the probability that the sample proportion of tax returns, for which no tax was paid, is greater than 0.31? Round your answer to at least four decimal places.
  
- **Statement:** The probability that the sample proportion of tax returns for which no tax was paid is greater than 0.31 is [____].

---

### Part 4 of 4

**(d) Unusual Sample Proportion Evaluation**

- **Question:** Using a cutoff of 0.05, would it be unusual if the sample proportion of tax returns for which no tax was paid was less than 0.28?

- **Statement:** Since the probability 0.1315 is [Choose one: **greater than/less than/equal to**] the cutoff, 0.05, it [Choose one: **would/would not**] be unusual if the sample proportion of tax returns for which no tax was paid was less than 0.28.
Transcribed Image Text:### Part 3 of 4 **(c) Probability Calculation** - **Question:** What is the probability that the sample proportion of tax returns, for which no tax was paid, is greater than 0.31? Round your answer to at least four decimal places. - **Statement:** The probability that the sample proportion of tax returns for which no tax was paid is greater than 0.31 is [____]. --- ### Part 4 of 4 **(d) Unusual Sample Proportion Evaluation** - **Question:** Using a cutoff of 0.05, would it be unusual if the sample proportion of tax returns for which no tax was paid was less than 0.28? - **Statement:** Since the probability 0.1315 is [Choose one: **greater than/less than/equal to**] the cutoff, 0.05, it [Choose one: **would/would not**] be unusual if the sample proportion of tax returns for which no tax was paid was less than 0.28.
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