A consulting group recently conducted a global survey of product teams with the goal of better understanding the dynamics of product team performance and uncovering the practices that make these teams successful. One of the survey findings was that 32​% of organizations have a coherent business strategy that they stick to and effectively communicate. Suppose another study is conducted to check the validity of this​ result, with the goal of proving that the percentage is less than 32​%.   State the null and research hypotheses.   Identify the null and alternative hypotheses.     A. H0​: π≤0.32​; H1​: π>0.32   B. H0​: π≥0.32​; H1​: π<0.32   C. H0​: π=0.32​; H1​: π≠0.32   D. H0​: π≠0.32​; H1​: π=0.

A recent report stated that less than 35 percent of the adult residents in a certain city will be able to pass a physical fitness test. Consequently, the city’s Recreation Department is trying to convince the City Council to fund more physical fitness programs. The council is facing budget constraints and is skeptical of the report. The council will fund more physical fitness programs only if the Recreation Department can provide convincing evidence that the report is true. The Recreation Department plans to collect data from a sample of 185 adult residents in the city. A test of significance will be conducted at a significance level of =.05 for the following hypotheses. H0:p=.35 Ha:p<.35 where p is the proportion of adult residents in the city who are able to pass the physical fitness test.   (a) Describe what a Type II error would be in the context of the study, and also describe a consequence of making this type of error. (b) The Recreation Department recruits 185 adult…

In 1990, 58% of Americans 18 years old and older reported they have a great deal of concern regarding air pollution. A recent poll found that 592 of 1004 Americans 18 years old or older stated that they have a great deal of concern regarding the level of air pollution in American. Is there evidence to conclude that the current proportion of Americans having a great deal of concern about the level of air pollution in America is different from the 1990 proportion, with a 10% level of significance?  State the null hypothesis, alternative hypothesis, test statistic, p-value and conclusion.

The article "Freedom of What?" (Associated Press, February 1, 2005) described a study in which high school students and high school teachers were asked whether they agreed with the following statement: "Students should be allowed to report controversial issues in their student newspapers without the approval of school authorities." Researchers hypothesized that the long-run proportion of high school teachers who would agree with the statement would differ from the long-run proportion of high school students who would agree. Two random samples - 8,000 high school teachers and 10,000 high school students were selected from high schools in the U.S. It was reported that 39% of the teachers surveyed and 58% of the students surveyed agreed with the statement. A simulated null distribution of 1,000 differences in proportions created by using the Two Proportion applet is shown below. Total shuffles - 1000 251 Number of shuffles 20 Mean -0.000 SD-0.007 LUL 0.024 -0.026 -0,016 -0.006 0.004 0.014…