According to a reputable magazine, 32% of all cars sold in a certain country are SUVS. Suppose a random sample of 300 recently sold cars shows that 90 are SUVS. Complete parts (a) and (b) below. W Click the icon to view a graphical technology output for this situation. a. Write the null and alternative hypotheses to test that fewer than 32% of cars sold SUVS. O Technology Output Họ: P Ha:p (Туре decimals. Do not round.) b. Rej e of the test statistic (z) from the figure. z= (Туре r a decimal, Round to four decimal places as needed.) 1-PropZTest 2= -0.7426 p= 0.2289

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Author:Amos Gilat
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**Problem Context:**

According to a reputable magazine, 32% of all cars sold in a certain country are SUVs. Suppose a random sample of 300 recently sold cars shows that 90 are SUVs. Complete parts (a) and (b) below.

**Task:**

a. Write the null and alternative hypotheses to test that fewer than 32% of cars sold are SUVs.

- \( H_0: p \) [Dropdown Menu with Options: \( >, =, <, \neq \)] 

- \( H_a: p < 0.32 \)  
  (Type integers or decimals. Do not round.)

b. Report the value of the test statistic (z) from the figure.

- \( z = \) [Text Box for Entering a Value] 
  (Type an integer or a decimal. Round to four decimal places as needed.)

**Graphical Technology Output:**

An image titled "Technology Output" is provided, featuring a bell curve with a highlighted section on the left shaded in blue. The graph includes:
- A horizontal axis labeled to accommodate z-scores.
- A vertical line at the point of interest. 
- The shaded region on the left-hand side corresponds to the p-value area.

**Output Details:**
- Test name: 1-PropZTest
- z-value: -0.7426
- p-value: 0.2289

- Options for printing or marking as done are available.
Transcribed Image Text:**Problem Context:** According to a reputable magazine, 32% of all cars sold in a certain country are SUVs. Suppose a random sample of 300 recently sold cars shows that 90 are SUVs. Complete parts (a) and (b) below. **Task:** a. Write the null and alternative hypotheses to test that fewer than 32% of cars sold are SUVs. - \( H_0: p \) [Dropdown Menu with Options: \( >, =, <, \neq \)] - \( H_a: p < 0.32 \) (Type integers or decimals. Do not round.) b. Report the value of the test statistic (z) from the figure. - \( z = \) [Text Box for Entering a Value] (Type an integer or a decimal. Round to four decimal places as needed.) **Graphical Technology Output:** An image titled "Technology Output" is provided, featuring a bell curve with a highlighted section on the left shaded in blue. The graph includes: - A horizontal axis labeled to accommodate z-scores. - A vertical line at the point of interest. - The shaded region on the left-hand side corresponds to the p-value area. **Output Details:** - Test name: 1-PropZTest - z-value: -0.7426 - p-value: 0.2289 - Options for printing or marking as done are available.
### Problem Description

According to a reputable magazine, 32% of all cars sold in a certain country are SUVs. Suppose a random sample of 300 recently sold cars shows that 90 are SUVs. Complete parts (a) and (b) below.

### Instructions

**a.** Write the null and alternative hypotheses to test that fewer than 32% of cars sold are SUVs.

**Null Hypothesis (H₀):** p [Select]   
**Alternative Hypothesis (Hₐ):** p [Select]

*(Type integers or decimals. Do not round.)*

**b.** Report the value of the test statistic (z) from the figure.

**z = [ ]**  
*(Type an integer or a decimal. Round to four decimal places as needed.)*

### Graphical Technology Output

The graphical output displays a normal distribution curve used for a 1-Proportion Z-Test.

- **Test Statistic (z):** -0.7426
- **p-value:** 0.2289
- The graph illustrates a standard normal distribution curve with a shaded area to the left, representing the cumulative probability associated with the test statistic.
Transcribed Image Text:### Problem Description According to a reputable magazine, 32% of all cars sold in a certain country are SUVs. Suppose a random sample of 300 recently sold cars shows that 90 are SUVs. Complete parts (a) and (b) below. ### Instructions **a.** Write the null and alternative hypotheses to test that fewer than 32% of cars sold are SUVs. **Null Hypothesis (H₀):** p [Select] **Alternative Hypothesis (Hₐ):** p [Select] *(Type integers or decimals. Do not round.)* **b.** Report the value of the test statistic (z) from the figure. **z = [ ]** *(Type an integer or a decimal. Round to four decimal places as needed.)* ### Graphical Technology Output The graphical output displays a normal distribution curve used for a 1-Proportion Z-Test. - **Test Statistic (z):** -0.7426 - **p-value:** 0.2289 - The graph illustrates a standard normal distribution curve with a shaded area to the left, representing the cumulative probability associated with the test statistic.
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