A hospital claims that the proportion of full-term babies born in the hospital who weigh less than seven pounds is no more than 39% . Suppose that we want to carry out a hypothesis test for this claim, suspecting otherwise. State the null hypothesis and the alternative hypothesis that we would use for this test.
In hypothesis testing, the null hypothesis (H₀) is the hypothesis that assumes there is no significant difference or no effect. The alternative hypothesis (H₁ or sometimes Ha) is the hypothesis that contradicts the null hypothesis and suggests a significant difference or effect.
In this case, the null hypothesis (H₀) would be that the proportion of full-term babies born in the hospital who weigh less than seven pounds is equal to or less than 39%.
The alternative hypothesis (H₁) would be that the proportion of full-term babies born in the hospital who weigh less than seven pounds is greater than 39%, suggesting that there is a significant difference.
To summarize, the null hypothesis (H₀) would be: The proportion of full-term babies born in the hospital who weigh less than seven pounds is no more than 39%.
And the alternative hypothesis (H₁) would be: The proportion of full-term babies born in the hospital who weigh less than seven pounds is greater than 39%.