A software developer claims the proportion of companies that use JavaScript as their primary software technology is different than 61%. To test this claim, a random sample of 720 companies is taken and it is determined 460 of them use JavaScript as their primary software technology. The following is the setup for this hypothesis test: Ho:p=0.61 Hap # 0.61 Find the p-value for this hypothesis test for a proportion and round your answer to 3 decimal places.

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**Hypothesis Testing: Proportion of Companies Using JavaScript**

A software developer claims that the proportion of companies using JavaScript as their primary software technology is different from 61%. To test this claim, a random sample of 720 companies is taken, and it is determined that 460 of them use JavaScript as their primary technology.

**Hypothesis Setup:**

- Null Hypothesis (\( H_0 \)): \( p = 0.61 \)
- Alternative Hypothesis (\( H_a \)): \( p \neq 0.61 \)

**Task:**

Find the \( p \)-value for this hypothesis test for a proportion and round your answer to three decimal places.

**Standard Normal Curve Table:**

The table provides the areas under the Standard Normal Curve for different \( z \)-scores:

| z   | 0.00  | 0.01  | 0.02  | 0.03  | 0.04  | 0.05  | 0.06  | 0.07  | 0.08  | 0.09  |
|-----|-------|-------|-------|-------|-------|-------|-------|-------|-------|-------|
| 1.5 | 0.933 | 0.934 | 0.936 | 0.937 | 0.938 | 0.939 | 0.940 | 0.941 | 0.942 | 0.943 |
| 1.6 | 0.945 | 0.946 | 0.947 | 0.948 | 0.949 | 0.951 | 0.952 | 0.953 | 0.954 | 0.954 |
| 1.7 | 0.955 | 0.956 | 0.957 | 0.958 | 0.959 | 0.960 | 0.961 | 0.962 | 0.962 | 0.963 |
| 1.8 | 0.964 | 0.965 | 0.966 | 0.968 | 0.969 | 0.969 | 0.970 | 0.970 | 0.971 | 0.971 |
| 1.9 | 0.971 | 0.972 | 0.973 | 0
Transcribed Image Text:**Hypothesis Testing: Proportion of Companies Using JavaScript** A software developer claims that the proportion of companies using JavaScript as their primary software technology is different from 61%. To test this claim, a random sample of 720 companies is taken, and it is determined that 460 of them use JavaScript as their primary technology. **Hypothesis Setup:** - Null Hypothesis (\( H_0 \)): \( p = 0.61 \) - Alternative Hypothesis (\( H_a \)): \( p \neq 0.61 \) **Task:** Find the \( p \)-value for this hypothesis test for a proportion and round your answer to three decimal places. **Standard Normal Curve Table:** The table provides the areas under the Standard Normal Curve for different \( z \)-scores: | z | 0.00 | 0.01 | 0.02 | 0.03 | 0.04 | 0.05 | 0.06 | 0.07 | 0.08 | 0.09 | |-----|-------|-------|-------|-------|-------|-------|-------|-------|-------|-------| | 1.5 | 0.933 | 0.934 | 0.936 | 0.937 | 0.938 | 0.939 | 0.940 | 0.941 | 0.942 | 0.943 | | 1.6 | 0.945 | 0.946 | 0.947 | 0.948 | 0.949 | 0.951 | 0.952 | 0.953 | 0.954 | 0.954 | | 1.7 | 0.955 | 0.956 | 0.957 | 0.958 | 0.959 | 0.960 | 0.961 | 0.962 | 0.962 | 0.963 | | 1.8 | 0.964 | 0.965 | 0.966 | 0.968 | 0.969 | 0.969 | 0.970 | 0.970 | 0.971 | 0.971 | | 1.9 | 0.971 | 0.972 | 0.973 | 0
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