In past years, the proportion of engineering students at the local college who did not own a calculator was 0.15. Angelina believes the proportion of current population of engineering students who do not own a calculator is lower She randomly selects 55 students and finds that 6 of them do not own a calculatorShe uses a significance level of alpha = 0.05 and calculates a p-value of 0.198. What null and alternative hypothesis did Angelina use for this test, and what conclusion can she make?
The null and alternative hypotheses that Angelina used for this test can be inferred from the significance level and the p-value.
Null Hypothesis (H₀): The proportion of the current population of engineering students who do not own a calculator is the same as in past years. (p = 0.15)
Alternative Hypothesis (H₁): The proportion of the current population of engineering students who do not own a calculator is lower than in past years. (p < 0.15)
Based on the given information, Angelina calculated a p-value of 0.198, which is greater than the significance level of alpha = 0.05. Therefore, she fails to reject the null hypothesis.
In conclusion, there is not enough evidence to suggest that the proportion of current engineering students who do not own a calculator is lower than in past years.
Null hypothesis: The proportion of current population of engineering students who do not own a calculator is 0.15 or higher.
Alternative hypothesis: The proportion of current population of engineering students who do not own a calculator is lower than 0.15.
Based on the calculated p-value of 0.198, which is larger than the significance level of 0.05, Angelina fails to reject the null hypothesis. Therefore, there is not enough evidence to suggest that the proportion of current population of engineering students who do not own a calculator is significantly lower than 0.15.