A psychologist claims that more than 55 percent of the population suffers from professional problems dueto extreme shyness. Assuming that a hypothesis test of the claim has been conducted and that theconclusion is a failure to reject the null hypothesis, state the conclusion in nontechnical terms.A) There is sufficient evidence to support the claim that the true proportion is greater than 55 percent.B) There is sufficient evidence to support the claim that the true proportion is less than 55 percent.C) There is not sufficient evidence to support the claim that the true proportion is greater than 55percent.D) There is not sufficient evidence to support the claim that the true proportion is less than 55 percent.

Failing to reject the null hypothesis when it is false.

A speaks truth in 75% cases and B in 80% of cases. In what percentage of cases are they likely to contradict each other, narrating the same incident?

A researcher would like to estimate p, the proportion of U.S. adults who support raising the federal minimum wage.Due to a limited budget, the researcher obtained opinions from a random sample of only 1,432 U.S. adults. With this sample size, the researcher can be 95% confident that the obtained sample proportion will differ from the true proportion (p) by no more than which of the following percentages (answers are rounded)? 0.07% 2.6% 3.0% 5.2%

If a school administrator claims that less than 50% of the students are dissatisfied with the food served in the school canteen. The claim used a sample data obtained from a survey of 500 students of the school wherein 54% indicated their dissatisfaction with the food served in the school canteen. Which of the following is the appropriate alternative hypothesis?p= 0.50p < 0.50p > 0.50p ≠ 0.50

Which of the following statements is true about alternative hypothesis on a population proportion?*It is represented by Ha.It is used as a basis to determine the location of the extreme values.It is the competing claim that the parameter is equal to a specific value.It is a claim that the proportion is equal to the hypothesized proportion.