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Previous studies suggest that female teens are more likely than male teens to be depressed. Define the depression rates for the female and male teens as p1 and p2 respectively. The p-value of the hypothesis test is 0.061. What is the correct conclusion at the 5% significance level?

Question

Previous studies suggest that female teens are more likely than male teens to be depressed. Define the depression rates for the female and male teens as p1 and p2 respectively. The p-value of the hypothesis test is 0.061. What is the correct conclusion at the 5% significance level?

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Solution

The p-value of the hypothesis test is 0.061, which is greater than the 5% significance level (0.05). Therefore, we fail to reject the null hypothesis. This means that at the 5% significance level, there is not enough evidence to conclude that the depression rates for female and male teens are different.

Similar Questions

The National Institute of Mental Health published an article stating that in any one-year period, approximately 9.8% of American adults suffer from depression or a depressive illness. Suppose that in a survey of 2000 people in a certain city, 10.4% of them suffered from depression or a depressive illness. Conduct a hypothesis test to determine if the true proportion of people in that city suffering from depression or a depressive illness is more than the 9.8% in the general adult American population. Test the relevant hypotheses using a 5% level of significance. Give answer to at least 4 decimal places.a. What are the correct hypotheses? (Select the correct symbols and use decimal values not percentages.)H0: H1:  b. Based on the hypotheses, find the following:c. Test Statistic =  d. p-value =    e. Based on the above we choose to f. The correct summary would be: that the true proportion of people in that city suffering from depression or a depressive illness is more than the percent in the general adult American population of 9.8%.

Which of these p-values would provide statistically significant results for a hypothesis test at the 5% significance level? Check all that applies.Group of answer choicesp = 0.023p = 0.053p = 0. 178p = 0.042

Based on the p-value, what is your conclusion (use .05 significance level)?

he p-value for the hypothesis test is 0.0139 , which means the observed difference is/ is noy statistically significant at the 5% level

A p-value of a one-sided hypothesis test is 0.035. At the 5% significance level, what would be the correct conclusion if the hypothesis was two-sided?

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