Question

what are the correct hypotheses?
ho: select ≥ 47 hours
h1: select > 47 hours
based on the hypotheses, find the following:
test statistic = 4.41 (round to 2 decimal places)
p - value = 0.0000 (round to 4 decimal places)
the correct decision is to select the null hypothesis.
the correct summary would be: there is enough evidence to support the claim that the mean
number of hours of all employees at start - up companies work more than the us mean of 47 hours.
question help: ☑ message instructor

Explanation:

Step1: Identify Hypotheses

The null hypothesis ($H_0$) is a statement of no difference or equality. Here, it's about the mean being equal to 47 hours, so $H_0: \mu = 47$ hours. The alternative hypothesis ($H_1$) is what we're testing for, which is the mean being more than 47 hours (since the claim is employees at start - up companies work more than the US mean of 47 hours), so $H_1: \mu > 47$ hours.

Step2: Test Statistic and p - value Interpretation

The test statistic is given as 4.41 (rounded to 2 decimal places). The p - value is 0.0000 (rounded to 4 decimal places). A very small p - value (typically less than 0.05) indicates strong evidence against the null hypothesis.

Step3: Decision and Conclusion

Since the p - value (0.0000) is less than a common significance level (e.g., 0.05), we reject the null hypothesis. The conclusion is that there is enough evidence to support the claim that the mean number of hours of all employees at start - up companies work more than the US mean of 47 hours.

Answer:

• $H_0: \mu = 47$ hours
• $H_1: \mu > 47$ hours
• Test Statistic = 4.41
• p - value = 0.0000
• Decision: Reject the null hypothesis
• Conclusion: There is enough evidence to support the claim that the mean number of hours of all employees at start - up companies work more than the US mean of 47 hours.