Seventy percent of adults favor some kind of government control on the prices of medicines. Assume that this percentage is true for the current population of all adults. Find the probability that the proportion of adults in a random sample of 400 who favor some kind of government control on the prices of medicines is... (round to 4 decimals) a)less than 0.65 b) between 0.71 to 0.77

Please respond ASAP

A survey was conducted to determine whether hours of sleep per night are independent of age. A sample of individuals was asked to indicate the number of hours of sleep per night with categorical options: fewer than 6 hours, 6 to 6.9 hours, 7 to 7.9 hours, and 8 hours or more. Later in the survey, the individuals were asked to indicate their age with categorical options: age 39 or younger and age 40 or older. Sample data follow. Age Group Hours of Sleep 39 or younger 40 or older Fewer than 6 36 34 6 to 6.9 60 57 7 to 7.9 77 75 8 or more 67 94 (a) Conduct a test of independence to determine whether hours of sleep are independent of age. State the null and alternative hypotheses. O Ho: Hours of sleep per night is not independent of age. H: Hours of sleep per night is independent of age. O H,: The proportion of people who get 8 or more hours of sleep per night is not equal across the two age groups. H: The proportion of people who get 8 or more hours of sleep per night is equal across the…

3. The population of male industrial workers in London who have never experienced a major coro- nary event has mean systolic blood pressure 136 mm Hg and mean diastolic blood pressure 84 mm Hg.- You might be interested in determining whether these values are the same as those for the popula- tion of industrial workers who have suffered a coronary event. (a) A sample of 86 workers who have experienced a major coronary event has mean systolic blood pressure xs 143 mm Hg and standard deviation s, = 24.4 mm Hg. Test the null hypothesis that the mean systolic blood pressure for the population of industrial workers who have experienced such an event is identical to the mean for the workers who have not, using a two-sided test at the a = 0.10 level. (b) The same sample of men has mean diastolic blood pressure x deviation sd 87 mm Hg and standard 16.0 mm Hg. Test the null hypothesis that the mean diastolic blood pressure for the population of workers who have experienced a major coronary event…

d, e

Autumn has purchased the insurance policy from an insurance company to cover the value of hers house in case if it gets destroyed due to a fire for the price of $1600 per year. Autumn's house is worth $370000 and the probability that fire destroys the house during the length of the policy is estimated to be 0.4%. Let XX  be the insurance company's profit. Answer the following questions: 1. Create the probability distribution table for XX :  XX  outcome profit xx ,$  P(X=x)P(X=x)    the house is destroyed       the house survived     2. Use the probability distribution table to find the following:  E[X]=μX=E[X]=μX= dollars. (Round the answer to 1 decimal place.)  SD[X]=σX=SD[X]=σX= dollars. (Round the answer to 1 decimal place.)

The table below shows the results of a survey about a junk food tax.     Support Oppose Unsure Male 184 363 16 Female 291 358 28   A person is selected at random from the sample.  What is the probability that a person opposes the tax or is female? Your answer should be a decimal (not a percent) correct to three decimal places.

Claim: Most adults would erase all of their personal information online if they could. A software firm survey of 569 randomly selected adults showed that 56% of them would erase all of their personal information online if they could. Find the value of the test statistic. ..... The value of the test statistic is (Round to two decimal places as needed.)

E Tnfanticide an ove... In a certain school district, it was observed that 25% of the students in the element schools were classified as only children (no siblings). However, in the special program for talented and gifted children, 107 out of 336 students are only children. The school district administrators want to know if the proportion of only children in the special program is significantly different from the proportion for the school district. Test at the a 0.02 level of significance. What is the hypothesized population proportion for this test? (Report answer as a decimal accurate to 2 decimal places. Do not report using the percent symbol.) Based on the statement of this problem, how many tails would this hypothesis test have? O one-tailed test O two-tailed test Choose the correct pair of hypotheses for this situation: (A) (B) (C) Ho:p = 0.25 H:p 0.25 0.25 (D) (E) (F) 0.318 Ho:p Ha:p < 0.318 H:p# 0.318 Ha:p Ho:P 0.318 Ho:p 0.318 0.318 (A) (B) (C) (D) (E) (F) Using the normal…

A researcher believes that 52.5% of people who grew up as the only child have an IQ score over 100. However, unknown to the researcher, this figure is actually 50%, which is the same as in the general population.To attempt to find evidence for the claim, the researcher is going to take a random sample of 400 people who grew up as the only child. Let p be the proportion of people in the sample with an IQ score above 100. Answer the following: a) Find the mean of p: b)Find the standard deviation of p: c) Compute an approximation for P(p ≥ 0.525), which is the probability that there will be 52.5% or more people with IQ scores over 100 in the sample. Round your answer to four decimal places.