A genetic theory says that a cross between two pink flowering plants will produce red flowering plants 25% of the time. To test the theory, 100 crosses are made and 33 of them produce a red flowering plant. Is this strong evidence that the theory is wrong? Carry out the appropriate hypothesis test at the 5% significance level. The appropriate hypothesis for this test is H0: x = 0.25 vs. HA: x ≠ 0.25 H0: p̂ = 0.25 vs. HA: p̂ ≠ 0.25     H0: p = 0.25 vs. HA: p ≠ 0.25 H0: μ = 0.25 vs. HA: μ ≠ 0.25 The test statistic is   (to two places after decimal)

I need help with this one please. Thank you!!

A researcher compares differences in positivity between participants in a low-, middle-, or upper-middle-class family. If she observes 15 participants in each group, then what are the degrees of freedom for the one-way between-subjects ANOVA?

9. Nicotine patches are often used to help smokers quit. Does giving medicine to fight depression also help? A randomized double-blind experiment assigned 244 smokers to receive nicotine patches and another 245 to receive both a patch and the antidepressant drug bupropion. After a year, 40 subjects in the nicotine patch group had abstained from smoking, as had 87 in the patch-plus-drug group. (a) Construct and interpret a 99% confidence interval for the difference in the proportion of smokers who abstain when using buproprion and a nicotine patch and the proportion who abstain when using only a patch. (b) Based only on this interval, do you think that the difference in proportion of abstaining smokers is significant? Justify your answer.

Postpartum depression and anxiety (PPD), is a common medical condition affecting mothers and their families after the birth of a baby. The CDC estimated that 18% of women who have recently given birth suffer from PPD. However, this research only reflected self-reported cases. Therefore, one group dedicated to helping women and their families with PPD believes that the true percentage of women who suffer from PPD is much higher. The group conducts a simple random sample of 112 women who had given birth in the last year and discovers that 26 of them report having PPD. Based on this evidence, can the group claim that the true percentage of women who have PPD is greater than 18%? Use a 0.05 level of significance.   Step 3 of 3 : Draw a conclusion and interpret the decision.   1. We reject the null hypothesis and conclude that there is sufficient evidence at a 0.05 level of significance that the true percentage of women who have PPD is greater than 18%.   2. We fail to reject the…

Researchers examine the association between the fluoridation of water and the prevention of tooth decay by comparing the prevalence of tooth decay in countries that have fluoridated water with the prevalence in countries that do not. Is this a randomized experiment or an observational study? Assume that tooth decay was seen to be less common in countries with fluoridated water. Could this result be due to confounding?