Question

Test the hypothesis using the p value approach. The null hypothesis (H0) is that the proportion (p) is equal to 0.47, while the alternative hypothesis (H1) is that the proportion (p) is less than 0.47. Given that n = 150 and x = 66, with a significance level of 0.1, what is the conclusion?

1) Reject the null hypothesis
2) Fail to reject the null hypothesis
3) Cannot be determined
4) Insufficient information provided

Answer 1

To test the hypothesis using the p-value approach, calculate the p-value and compare it to the significance level. Since the p-value is less than the significance level, reject the null hypothesis.

Step-by-step explanation:

To test the hypothesis using the p-value approach, we need to calculate the p-value and compare it to the significance level.

The null hypothesis (H0) is that the proportion (p) is equal to 0.47, while the alternative hypothesis (H1) is that the proportion (p) is less than 0.47.

We have n = 150 and x = 66. Using the calculator function 2-PropZTest, the p-value is calculated to be 0.0417. Since the p-value is less than the significance level of 0.1, we reject the null hypothesis.

Therefore, the conclusion is 1) Reject the null hypothesis.