För each of the following hypotheses in Questions 6-8, (i) provide the p-value (or its bounds) and (ii) draw a basic conclusion (REJECT or DO NOT REJECT only) with respect to Ho with 99% confidence. Handwritten notes are not necessary for these questions.
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- The following problem submitted by Daniel Hahn of Blairstown, Iowa, appeared in the Ask Marilyn column of Parade magazine. Source: Parade magazine. You discover two booths at a carnival. Each is tended by an honest man with a pair of covered coin shakers. In each shaker is a single coin, and you are allowed to bet upon the chance that both coins in that booths shakers are heads after the man in the booth shakes them, does an inspection, and can tell you that at least one of the shakers contains a head. The difference is that the man in the first booth always looks inside both of his shakers, whereas the man in the second booth looks inside only one of the shakers. Where will you stand the best chance?Express the null hypothesis and the alternative hypotheses in notation form in the following scenario 1. The principal of the school claims that the mean age of the teachers is 45 years. The mean age of the randomly selected 35 teachers is 42 years, which is not equal to what is claimed by the principal. 2. The mathematics teacher claims that the mean IQ of Statistics students is 110. The mean IQ of the 32 randomly selected Statistics students is 112 which is more than what the mathematics teacher claims. 3. It is claimed that the percentage of viewers tuned to Channel 7's new sitcom is 30%. Out of the 250 viewers randomly selected, only 29% are tuned to Channe; 7's new sitcom. Can it be concluded that the percentage of viewers tuned to Channel 7's new sitcom is less than 30%?A popular uprising that started on January 25, 2011 in Egypt led to the 2011 Egyptian Revolution. Polls show that about 69% of American adults followed the news about the political crisis and demonstrations in Egypt closely during the first couple weeks following the start of the uprising. Among a random sample of 30 high school students, it was found that only 17 of them followed the news about Egypt closely during this time. (Source: Gallup Politics, Americans' Views of Egypt Sharply More Negative, data collected February 2-5, 2011).
- Write the null and alternative hypotheses in words and then symbols for each of the following situations.Since 2008, chain restaurants in California have been required to display calorie counts of each menu item. Prior to menus displaying calorie counts, the average calorie intake of diners at a restaurant was 1100 calories. After calorie counts started to be displayed on menus, a nutritionist collected data on the number of calories consumed at this restaurant from a random sample of diners. Do these data provide convincing evidence of a difference in the average calorie intake of diners at this restaurant? In symbols, the hypotheses are: __Ho: μ = 1100Ha: μ < 1100 __Ho: μ < 1100Ha: μ = 1100 __Ho: μ = 1100Ha: μ ≠ 1100 __Ho: μ = 1100Ha: μ = 1100For each of the following hypotheses in Questions 6-8, (i) provide the p-value (or its bounds) and (ii) draw a basic conclusion (REJECT or DO NOT REJECT only) with respect to Ho with 99% confidence. Handwritten notes are not necessary for these questions.A. State the null and alternative hypotheses of the following situations. 2. A guidance conselor claims that at least 70% of the learners in their school have an above-average IQ. The administrator of the school says that it is too high of a claim. Null hypotheses (Statement form): Alternative hypotheses (Mathematical form):
- It is claimed that 20% of dog owners have at least two dogs. A researcher believes that more than 20% of dog owners have at least two dogs. A random sample of data is gathered from 200 dog owners, and, within the sample, 32% of the surveyed dog owners said they have two or more dogs. When asked to indicate what the hypotheses are for this example, the following hypotheses are given. What is the mistake? Ho: p = 0.32 Ha: p > 0.32Write the null and alternative hypotheses in words and using symbols for each of the following situations. (a) The state of Wisconsin would like to understand the fraction of its adult residents that consumed alcohol in the last year, specifically if the rate is different from the national rate of 70%. To help them answer this question, they conduct a random sample of 852 residents and ask them about their alcohol consumption.
