It is a known fact that 50% of all Americans are male. A researcher wants to see if the percent of business owners who are male is greater than the percent of all Americans who are male. The researcher should use Ho:P1 = P2, H1:P1 > p2 _for the null and alternative hypotheses.
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- A marriage counselor has traditionally seen the proportion pee of all married couples from her communication program can prevent divorce and 79%. After making some recent changes, The marriage counselor now claims that our program can prevent divorce is more than 79% of married couples. And a random sample of 230 married couples who completed her program, 194 of them stayed together. Based on this sample, is there enough evidence to support the marriage counselors claim at the 0.10 level of significance?An older study found that 20% of adult men said they were seriously trying to lose weight. A more recent poll was conducted. Researchers surveyed 400 men. Of the men surveyed, 96 said that they were seriously trying to lose weight. Perform a hypothesis test against the claim that a greater proportion of men are trying to lose weight today than in the earlier study.A former residential complex was found to be a Superfund site polluted with several hazardous materials. Tamela is an investigative journalist who would like to show whether the proportion of the residents of the complex who eventually died from cancer is greater than the regional average of 14%. She randomly selects 54 residents who lived in the complex and finds that 12 of those residents eventually died from cancer. Are all of the conditions for this hypothesis test met, and if so, what are the null and alternative hypotheses for this hypothesis test? Select the correct answer below: Although the proportion follows a binomial model with two independent outcomes and the data are selected at random, the number of successes and the number of failures are not both greater than or equal to 5. Although the proportion follows a binomial model with two independent outcomes and the number of successes and the number of failures are both greater than or equal to 5, the…
- An older study found that 20% of adult men said they were seriously trying to lose weight. A more recent poll was conducted. Researchers surveyed 400 men. Of the men surveyed, 96 said that they were seriously trying to lose weight. Perform a hypothesis test against the claim that a greater proportion of men are trying to lose weight today than in the earlier study. What could be used as the null hypothesis for this problem? a.The proportion of men who are trying to lose weight is greater than 20%. b.The proportion of men who are trying to lose weight is equal to 20%. c. The proportion of men who are trying to lose weight is equal to 24%. d.The proportion of men who are trying to lose weight is greater than 24%.A recent survey asked 1200 randomly selected U.S. adults if they believe that the U.S. federal government is doing enough to keep U.S. elections safe from outside interference. Of the survey participants, 620 were men and 580 were women. The researchers wanted to know if there was a difference in how men and women responded and decided to conduct a hypothesis test. The researchers predict that there is no difference between the proportion of women (p1) and men (p2) who believe that the U.S. federal government is not doing enough to keep elections safe. Which of the following are the correct null and alternative hypotheses to test this claim? a. Ho: p1 # p2 and Ha: p1 = p2 b. Ho: p1 = p2 and Ha: p1< p2 c. Ho: p1 > p2 and Ha: p1 # p2 d. Ho: p1 = p2 and Ha: p1 # p2The mean score for all NBA games during a particular season was less than 102 points per game. if a hypothesis test is performed, how should you interpret a decision that fails to reject the null hypothesis?
- Historically, 15% of all Americans claim to have seen a UFO. A paranormal researcher claims that this proportion has now increased. Of 269 randomly selected Americans, 44 claim to have seen a UFO. At the 0.05 significance level, can the researcher conclude that the proportion of Americans that claim to have seen a UFO has increased from 15% For the hypothesis testing scenario above, compute the P-value.A statistician selects a sample of 20 participants and makes the decision to retain thenull hypothesis. He conducts the same study testing the same hypothesis with asample of 100 participants and makes the decision to reject the null hypothesis. What likely explanation for why the two samples led to different decisions?Two years ago a public health researcher found that 27% of American teens regularly vaped a different researcher would like to determine if the proportion of Americans that regularly vape has changed since then. State the bull and alternative hypotheses for this test.
- A random sample of 287 people are asked if they like eating hot dogs and 182 said they do. Comfort Food Magazine states that the proportion of people who like to eat hot dogs is 69%. Is there sufficient evidence to conclude that the proportion of people that like to eat hot dogs is fewer than or equal to 69% based on level of significance of 0.06?An environmentalist wishes to conduct a hypothesis test on the percentage of cars driven in a cities that are hybrids. Is it sufficient for him to use a simple random sample of 114 cars of hyper is currently a count for 8% of the car sales in the country, and he claims that the percentage of hybrids in the city is higher than that.The mean age of bus drivers in chicago is 56.7 years. If a hypothesis test is performed, how should you interpret a decision that rejects the null hypothesis?