Refer to Exercise 7.S.10. Summary statistics for the pH measurements are given in the following table. We wish to investigate the relationship of oocyte pH to progesterone response using a t test at a = 0.05 and a non-directional alternative.

(a) Write the null hypothesis and the alternative hypothesis in symbols.
(b) Here is computer output for the t test. Explain what the P-value means in the context of this study.
t = - 7.46, df = 14.003, p-value = 3.042e-06
alternative hypothesis: true difference in means is not equal to 0
(c) α = 0.05. what is your conclusion regarding H0?
Exercise 7.S.10
A developmental biologist removed the oocytes (developing egg cells) from the ovaries of 24 frogs (Xenopus laevis). For each frog the oocyte pH was determined. In addition, each frog was classified according to its response to a certain stimulus with the hormone progesterone. The pH values were as follows:

Investigate the relationship of oocyte pH to progesterone response using a Wilcoxon-Mann-Whitney test at α = 0.05. Use a non directional alternative.

Positive response No response Il 18 7.373 0.129 7.708 0.081 Positive response: 7.06, 7.18, 7.30, 7.30. 7.31, 7.32, 7.33, 7.34, 7.36, 7.36, 7.40, 7.41, 7.43, 7.48, 7.49, 7.53, 7.55, 7.57 No response: 7.55, 7.70, 7.73, 7.75, 7.75, 7.77