Based on the data from question 8, for testing if first-borns population (group 1) have a larger mean IQ compared to later-borns (group 2) using the two-sample t-test, what is the null hypothesis and alternative hypothesis? AH_0: p_1=p_2, H_A: µ_1>p_2 Β) Η_O: μ_1>μ_2, H_A: μ_1=u_2 H_0: μ_1=μ_2, H_A: μ_1*μ_2 H_0: μ_1=μ_2, H_A: μ_1<μ_2

A researcher used a sample of n = 50 individuals to determine whether there are any preferences between two new designs for a smartphone. If the data produce a chi-square statistic of X^2 = 6.00, what decision should the researcher make (indicate df and decisions with a=.05 and a =.01 by reporting critical values)

The null and alternative hypotheses for a test are given, as well as some information about the actual sample and the statistic that is computed for each randomization sample. H0:μ=30H0:μ=30 vs Ha:μ≠30Ha:μ≠30Sample: x_=12x_=12, s=3.8s=3.8, n=40n=40Randomization statistic: x_x_ (a) Indicate where the randomization distribution will be centered.    (b) Indicate whether the test is a left-tail test, a right-tail test, or a two-tailed test.

Conduct a two-factor ANOVA to examine the effects of 'maternal diet' (‘diet’:  No alcohol, vs. alcohol) and age (adolescent rat vs. adult rat) on passive avoidance (‘pa’). State the three alternative hypotheses in words. State the alternative hypothesis of the interaction in terms of whether the effects of maternal diet (alcohol vs. not alcohol) on passive avoidance depend on the levels of age (i.e., on whether the rat is an adolescent or an adult rat).

Select a significance level α and reject the null-hypothesis if the p-value is less than α. Explain, in complete sentences, your findings: Is there a statistically significant association (at α level) between the provided genes? What is the magnitude and the direction of the association?

A research center claims that 31​% of adults in a certain country would travel into space on a commercial flight if they could afford it. In a random sample of 700 adults in that​ country, 35​% say that they would travel into space on a commercial flight if they could afford it. At α=0.10​, is there enough evidence to reject the research​ center's claim?     identify the standardized test statisticz= find the P valueP= decide whether to reject or fail to reject the null hypothesis

An aerosolized vaccine for measles was developed in Mexico and has been used on more than 44 million children since 1980. Aerosolized vaccines have the advantages of being able to be administered by people without clinical training and do not cause injection‑associated infections. Despite these advantages, data about efficacy of the aerosolized vaccines against measles compared to subcutaneous injection of the vaccine have been inconsistent. Because of this, a large randomized controlled study was conducted with children in India. The primary outcome was an immune response to measles measured 91 days after the treatments. Among the 785 children receiving the subcutaneous injection, 743 developed an immune response, while among the 775 children receiving the aerosolized vaccine, 662 developed an immune response. Nicola Low et al., "A randomized, controlled trial of an aerosolized vaccine against measles," New England Journal of Medicine, 372 (2015), pp. 1519–1529.   Compute the…