It was claimed that many commercially manufactured dice are not fair because the "spots" are rea indentations so that, for example, the 6-side is lighter than the 1-side. Let p equal the probability o rolling a 6 with one of these dice. A researcher wanted to test the claim that p is really greater thar He uses several of these dice to collect 8000 observations and calculates the test statistic to be 1.c Using a 0.05 level of significance, the critical region is Z> 1.645. What decision did the researcher make? Reject Ho, because the test statistic does not fall in the critical region. Fail to Reject Ho, because the test statistic falls in the critical region. Reject Ho, because the test statistic falls in the critical region. Fail to Reject Ho, because the test statistic does not fall in the critical region. Cannot make a decision

A hospital administrator finds that the mean hospital stay for a sample of 77 women after childbirth is 3.1 days. She claims that the mean stay at her hospital is greater than the national average of 2.7 days. Assuming that the average at her hospital is the same as the national average, the probability of observing a sample with a mean of 3.1 days or more is 0.16. Formulate the null and alternative hypotheses. Then discuss whether the sample provides evidence for rejecting or not rejecting the null hypothesis. Assume a significance level of 0.05.

The U.S. Health Department reported that 40% of households had both a wireless phone and a landline. Assume that in a simple random sample of 300 households, 105 are found to have both services. With this information answer the following questions: What is the population proportion, π? What is the sample proportion, p? What is the standard error of the sample proportion? In the sampling distribution of the proportion, what is the probability that a sample of this size would result in a sample proportion at least 35%?

Suppose the following data represent the ratings (on a scale from 1 to 5) for a certain smart phone game, with 1 representing a poor rating. Complete parts (a) through (d) below. 2 3 (c) Compute and interpret the mean of the random variable x. The mean is stars. (Round to one decimal place as needed.) Which of the following interpretations of the mean is correct? 3 4 C 0.1+ OA. As the number of experiments increases, the mean of the observations will approach the mean of the random variable. OB. The observed value of an experiment will be equal to the mean of the random variable in most experiments. OC. As the number of experiments decreases, the mean of the observations will approach the mean of the random variable. OD. The observed value of an experiment will be less than the mean of the random variable in most experiments. (d) Compute the standard deviation of the random variable x. The standard deviation is stars. (Round to one decimal place as needed.). 0.1+ Stars 1 2 3 4 5…