In 1995, it was determined that 78% of US citizens supported a ban on household aerosols.  Thinking that this proportion may have changed over the past few decades, a sample will be taken to test if a change has occurred. In a SRS of 500 citizens taken this year, 350 supported the ban.  Determine the pvalue associated with the test. find null and alternate hypothesis.

Two samples. each with n = 5 scores, have a pooled variance of 40. What is the estimated standard error for the sample mean uniference? how do i solve?

Suppose that the average number of Facebook friends users have is normally distributed with a mean of 145 and a standard deviation of about 57. Assume forty-nine individuals are randomly chosen. Answer the following questions. Round all answers to 4 decimal places where possible.   Find the first quartile for the average number of Facebook friends.

Cadmium, a heavy​ metal, is toxic to animals.​ Mushrooms, however, are able to absorb and accumulate cadmium at high concentrations. Some governments have a safety limit for cadmium in dry vegetables at 0.56 part per million​ (ppm). A research team measured the cadmium levels in a random sample of edible​ mushrooms, where the hypothesis test is to decide whether the mean cadmium level in the sample is greater than the​ governments' safety limit. The null and alternative hypotheses are H0​: μ=0.56 ​ppm, Ha​: μ>0.56 ppm. Complete parts​ (a) through​ (e) below. d. Now suppose that the results of carrying out the hypothesis test lead to nonrejection of the null hypothesis. Classify that conclusion by error type or as a correct decision if in fact the mean cadmium level in that type of mushrooms equals the safety limit of 0.56 ppm. Choose the correct answer below. A. type I error B. correct decision because a true null hypothesis is not rejected C. correct decision because…