In basketball, a player gets two foul shots when fouled. In a random sample of games over Larry Bird's long NBA career, he hit the second foul shot in 48 of 53 attempts after the first was missed and hit the second foul shot 231 of 285 times after the first shot was made. Is there sufficient evidence to say that the probability that Bird made the second free throw is different depending on whether he made the first free throw or missed it? Also construct a 95% confidence interval for the difference between his free throw shooting. Just fill in appropriate formulas.

In 2014, 78.9% of US households spoke only English at home. What is the probability that atleast 12 of 15 randomly sampled US households speak only English at home

Do cat owners sleep better than those without cats? To help answer this question, a cat enthusiast obtained a random sample of 500 Canadians, each of whom answered two questions: 1. do you have a cat? (yes or no), 2. How well do you sleep? (good, neutral, bad). The dataset “CatSleep.xlsx” contains her findings.   Find the probability that a randomly selected Canadian is a bad sleeper and a cat owner. Find the probability that a randomly selected Canadian is a neutral sleeper or a cat owner. Find the probability that a randomly selected non-cat owner is a bad sleeper. That is, find the probability that a randomly selected Canadian is a bad sleeper, given they are not a cat owner Can you handwrite the solution?

State the predicted probability of being a 53 year old menopausal woman whose hemoglobin level is 15?

Based on observation 85% of the population of adult males wash their hands in a public restroom. In a survey of 523 adult males, 518 reported they washed their hands when using a public restroom. Find the probability that among 523 randomly selected adult males 518 or more wash their hands in a public. restroom. Does it appear that all the people who claimed they washed their hands were telling the truth?

A baseball team claims that the mean length of its games is more than 1.4 hours. State H0 and Ha in words and in symbols. Then determine whether the hypothesis test for this claim is​ left-tailed, right-tailed, or​ two-tailed. Explain your reasoning.       State the null hypothesis in words and in symbols. Choose the correct answer below.     A. The null hypothesis expressed in words​ is, "the mean length of a baseball​ team's games is not 1.4 ​hours." The null hypothesis is expressed symbolically​ as, ​"H0​: μ≠1.4​."   B. The null hypothesis expressed in words​ is, "the mean length of a baseball​ team's games is at least 1.4 ​hours." The null hypothesis is expressed symbolically​ as, ​"H0​: μ≥1.4​."   C. The null hypothesis expressed in words​ is, "the mean length of a baseball​ team's games is at most 1.4 ​hours." The null hypothesis is expressed symbolically​ as, ​"H0​: μ≤1.4​."   D. The null hypothesis expressed in words​ is, "the mean length of a…