A hypothesis test is performed to determine if the proportion of all six packs of seltzers sold in a particular grocery store near a college campus that are alcoholic exceeds 50%. A random sample of 152 customers that purchased seltzer is acquired (assume no customer purchases more than one six pack at time, alcoholic or not); the sample proportion of these purchases that are alcoholic is obtained. From this sample a test statistic of 2.60 is calculated, which has a corresponding P-value of 0.0047. Which of the following is true? Select one: Oa. The probability that, in a random sample of 152 customers purchasing seltzers, more than 50% of those customers will have purchased alcoholic seltzer is 0.0047. O b. None of these statements is true. O c. The probability the null hypothesis is true is 0.0047. O d. The probability the null hypothesis is true is 1-0.0047 = 0.9953. O e. The probability that 50% of customers purchasing seltzers will be purchasing alcoholic seltzer on any given day is 0.0047.

The records of a light bulb manufacturer show that, when the manufacturing machinery is working correctly, the defect rate (due to imperfections in the material used) is 1%. The manufacturer's control department periodically tests samples of the bulbs, and when 1.25% or more are defective, they call repair technicians for service. The control department is going to take a random sample of 4400 light bulbs. Let p be the proportion of defective light bulbs in the sample assuming the machinery is working correctly. A) find the mean of p b)find the standard deviation of p c)Compute an approximation for P≥p0.0125, which is the probability that, assuming the machinery is working correctly, the repair technicians will be called. Round your answer to four decimal places.

The records of a light bulb manufacturer show that, when the manufacturing machinery is working correctly, the defect rate (due to imperfections in the material used) is 1%. The manufacturer's control department periodically tests samples of the bulbs, and when 1.25% or more are defective, they call repair technicians for service.   The control department is going to take a random sample of 4400 light bulbs. Let p be the proportion of defective light bulbs in the sample assuming the machinery is working correctly. Answer the following. (If necessary, consult a list of formulas.) (a) Find the mean of p.   (b) Find the standard deviation of p.   (c) Compute an approximation for P(P ≥ 0.0125), which is the probability that, assuming the machinery is working correctly, the repair technicians will be called. Round your answer to four decimal places.

A newspaper article claims that 92 percent of teens use social media. To investigate the claim, a polling organization selected a random sample of 100 teens, and 96 teens in the sample indicated that they use social media. Given the data, why is it not appropriate to use a one-sample z-test for a proportion to test the newspaper’s claim?       The random sample condition is not met. A The sample is more than 10% of the population. B The observed number of teens in the sample who do not use social media is less than 10. C The expected number of teens in the sample who do not use social media is less than 10. D The distribution of the population is not approximately normal.

The local sheriff has staked his campaign for re-election on the claim that that at least 88% of the drivers stopped on Saturday nights for speeding are under the influence of alcohol. A sample of 66 drivers who were stopped for speeding on a Saturday night was taken. Eighty percent of the drivers in the sample were under the influence of alcohol. Compute the test statistic.

ndependent random samples of professional football and basketball players gave the following information. Heights (in ft) of pro football players: x1; n1 = 45 6.31 6.51 6.50 6.25 6.50 6.33 6.25 6.17 6.42 6.33 6.42 6.58 6.08 6.58 6.50 6.42 6.25 6.67 5.91 6.00 5.83 6.00 5.83 5.08 6.75 5.83 6.17 5.75 6.00 5.75 6.50 5.83 5.91 5.67 6.00 6.08 6.17 6.58 6.50 6.25 6.33 5.25 6.65 6.50 5.85 Heights (in ft) of pro basketball players: x2; n2 = 40 6.09 6.56 6.25 6.58 6.25 5.92 7.00 6.41 6.75 6.25 6.00 6.92 6.84 6.58 6.41 6.67 6.67 5.75 6.25 6.25 6.50 6.00 6.92 6.25 6.42 6.58 6.58 6.08 6.75 6.50 6.83 6.08 6.92 6.00 6.33 6.50 6.58 6.85 6.50 6.58   (a) Use a calculator with mean and standard deviation keys to calculate x1, s1, x2, and s2. (Round your answers to four decimal places.) x1 =   s1 =   x2 =   s2 =   (b) Let μ1 be the population mean for x1 and let μ2 be the population mean for x2. Find a 90% confidence interval for μ1 – μ2. (Round your answers to…

The manufacturer of a popular soft drink claims that cans of this drink contain 12 ounces.  A consumer group is suspicious of this claim and believes the amount in each can is less than 12 ounces.  A random sample of 18 cans is selected and the amount in each can is measured.  The results are as follows: 11.9     11.9     12.0     11.9     12.0     11.7     11.6     11.5     11.6    12.0     11.8     11.7     12.2     11.5     12.1     11.8     12.1     11.8 Calculate the sample standard deviation s. Round its value to two decimal places.____________

Use the data and table below to test the indicated claim about the means of two paired populations (matched pairs). Assume that the two samples are each simple random samples selected from normally distributed populations. Make sure you identify all values.     The table below shows the blood glucose of 20 students before breakfast and two hours after breakfast, using a specific insulin dosing formula to cover carbohydrates. Is there compelling statistical evidence that the specific insulin dosing formula is effective in reducing blood glucose levels? Use a significance level of 0.05. We have the differences (gain or loss), but we still need to compute the mean, standard deviation, and know the sample size for the differences (use Excel or Sheets for this computation). Once those are found, we can apply methods that are used for a 1 sample t-test.     Student Before Meal After Meal Difference 1 161 114 -47 2 196 88 -108 3 132 80 -52 4 175 96 -79 5 169 112 -57 6 138 137…