You are conducting a study to see if the proportion of women over 40 who regularly have mammograms is significantly less than 0.66. You use a significance level of a=0.001. H0:P=0.66 H1:P<0.66You obtain a sample of size 176 in which there are 99 successes.What is the test statistic for this sample? (Report answer accurate to 3 decimal places.)What is the p-value for this sample? (Report answer accurate to 4 decimal places.)This test statistic leads to a decision toreject the nullaccept the nullfail to reject the nullAs such, the final conclusion is thatthere is sufficient evidence to conclude that the proportion of women over 40 who regularly have mammograms is less than 0.66.there is not sufficient evidence to conclude that the proportion of women over 40 who regularly have mammograms is less than 0.66.there is sufficient evidence to conclude that the proportion of women over 40 who regularly have mammograms is equal to 0.66.there is not sufficient evidence to conclude that the proportion of women over 40 who regularly have mammograms is equal to 0.66.

Sample size n =176 Favorable cases x =99 Sample proportion p^=x/n =99/176 =0.5625

Answered: You are conducting a study to see if…

You are conducting a study to see if the proportion of women over 40 who regularly have mammograms is significantly less than 0.66. You use a significance level of a=0.001. H0:P=0.66 H1:P<0.66

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter4: Equations Of Linear Functions

Section: Chapter Questions

Problem 8SGR

See similar textbooks

Related questions

Q: (a) Find the probability of randomly selecting a household that has one or two televisions. The…

A: Given the probability distribution of x . The probability distribution of number of televisions per…

Q: Assume a member is selected at random from the population represented by the graph. Find the…

Q: X is a binomial random variable with p = 0.36 For a sample of 25, what is the expected value of…

A: Answer: From the given data, X is a binomial random variable, having p = 0.36

Q: 14.33 Provide a two-sided 95% CI for incidence rate of flu among high-risk students during winter…

A: 14.32 To test the hypothesis that the high-risk students had a higher incidence rate of influenza…

Q: A random sample X is normally distributed with mean 36 and standard deviation 12, Find the…

A: Answer: From the given data, mean (μ) = 36 standard deviation(σ) =12 X follows normal distribution,

Q: The TukeyHSD function in R describes differences between pairs of treatment groups True False

A: In R, the Tukey HSD function is a post-hoc test commonly used after an ANOVA test to compare the…

Q: How much variance in math score is explained by age and gender?

A: From the output provided, the model which explains math score is given by Model 2.

Q: If X is exponentially distributed with a mean of 3, can you find a uniform distribution U[a,b] with…

A: Given that, X~ exp(3) where, mean= 3 and standard deviation = 3

Q: Question 45 A medical researcher is studying the effects of a drug on blood pressure. Subjects in…

A: The average change in blood pressure, d¯=2.5 Standard deviation, sd=4.8 Sample size, n=32

Q: Part C Use a calculator to find an exponential regression model, of the form A(t) = a ⋅ bt, that…

A: You didn't provide any dataset but i will give the process how you proceed withe the question .…

Q: Find x₁ for x² distribution with 2 degrees of freedom. Xỏ.1 (Round the answer to 3 decimal places)

A: X follows chi-square distribution with 2 degrees of freedom

Q: USA Today reported that about 47% of the general consumer population in the United States is loyal…

A: The given claim is that the population proportion of consumers loyal to Chevrolet is more than 47%.

Q: a) A survey involving a random sample of 96 small companies operating in Nairobi County revealed the…

A: Classes are given with unequal widths From corresponding frequency we can calculate cumulative…

Q: Calculate the mean and standard deviation for the binomial distribution P=0.67,n=8

A: Answer: From the given data, p = 0.67 and q = 1 - p = 1 - 0.67 = 0.33 Sample size(n) = 8

Q: a) As a function of 0, determine P(X ≤ 1). b) Assume that is unknown, but we can observe X. For…

A: Random variable X ~ U(0, ?) Pdf of X : f(x)=1/? : 0<X<? Hypothesis testing H0: ?≥?0 vs Ha:…

Q: The director of admissions at a state college is interested in seeing if admissions status…

A: The variable admissions status contains admitted, waiting list, denied admission and the variable…

Q: a. Verify that this table is a valid probability distribution function. b. What is the probably that…

A: Here given probability distribution of random variable X . X = no of limbs are injured

Q: You are a researcher studying the lifespan of a certain species of bacteria. A preliminary sample of…

A: Sample mean x¯ = 66Standard Deviation = 4.2margin of error E = 0.5confidence interval c = 0.90

Q: Report the 95% confidence interval for the percentage of all young people who earned a high school…

A: From the given information, p-hat value is 0.86 and the sample size n is 1200.

Q: Create a side-by-side boxplot for vitamin D level vs. NewAge and a side- by-side boxplot for vitamin…

A: Vitamin D is an important nutrient that is essential for healthy bones and teeth, as well as a…

Q: You measure the weights of 41 textbooks and find they have a mean weight of 77 ounces. The standard…

A: We have given that.Sample size (n) = 41 Sample mean (x̅) = 77Standard deviations (σ) = 5.1Confidence…

Q: What determines whether the Average return, Standard Deviation and Risk ratio are good or bad; is a…

A: The context of the investment strategy and the investor's objectives determine whether the average…

Q: Students estimated the length of one minute without reference to a watch or clock, and the times…

A: α=0.05 68 79 38 63 41 22 59 61 65 47 62 70 96 92 63

Q: Calculate the mean and standard deviation for the binomial distribution, n=25 , P= 0.86 Round…

A: Answer: From the given data, Sample size(n) = 25 P = 0.86 X follows binomial distribution,

Q: The given table shows a frequency distribution of the number of Galaxy Tabx sold per day at a…

A: Here given x = number of tablets Frequency = fi

Q: Construct a 90% confidence interval for �.

A: A random sample of 20 is drawn from a population that is known to be normally distributed. The…

Q: Suppose the data represent the inches of rainfall in April for a certain city over the course of 20…

A: 0.44,2.14,3.39,5.12,0.62,2.48,3.82,5.42,0.99,2.68,4.28,5.56,1.43,2.86,4.57,5.92,1.68,3.26,4.95,6.19…

Q: The effectiveness of a blood-pressure drug is being investigated. An experimenter finds that, on…

A: x¯=43.6, n=25, s=9.2, α=0.05

Q: Using the following table, calculate the Expected Monetary Value (EMV), Expected Opportunity Loss…

A: To calculate the EMV, we multiply the payoff of each decision alternative by its corresponding…

Q: A researcher wishes to estimate, with 90% confidence, the population proportion of adults who eat…

Q: Using the standard normal table or excel function find the given probability, P(Z>0.65)

A: Answer: From the given data, P(Z>0.65) is,

Q: in a new fiber-optic communication system, transmission errors occur at the rate of 1.5 per ten…

A: The random variable X is the number of transmission errors that occur in fiber optic communication…

Q: Make a graph of the distribution. Describe its overall shape and any outliers. The distribution is…

A: The number of legal immigrants in each state of the Mississippi River is given.

Q: 4% of the true proportion. A researcher wishes to estimate, with 90% confidence, the population…

Q: Suppose that events E and F are independent with P(E)=0.65 and P(F)=0.72 What is P(E andF)? Round…

A: P(E)=0.65 P(F)=0.72 The events E and F are independent .

Q: What is the probability x is less than 6?

A: Given the values are from a gamma distribution with alpha= 2 and beta = 4

Q: b. Let X1, X2, X3, and X4 represent the weight of shipment packages at a certain shipment facility.…

A: X1,X2,X3 and X4 are the independent random variables. The mean of the random variables are μ1=0.8,…

Q: Planners in the city of Middletown wanted to estimate the mean number of people per household from a…

A: Answer: From the given data, Sample size (n) = 250 Sample mean x¯ = 2.5 Standard deviation (s) = 0.2…

Q: Studies by the U.S. Dept. of Education have shown that when full-time undergraduate students work at…

Q: Suppose there are 12 blue, 8 white and 6 red balls in a bag. If one ball is randomly selected…

A: Answer: From the given data, Number of blue balls = 12 Number of white balls = 8 Number of red balls…

Q: If the manager of Pet Place wants the probability of a stockout during replenishment lead-time to be…

A: The mean is 15 and the standard deviation is 6.

Q: Find the p-value for the hypothesis test. A random sample of size 53 is taken. The sample has a mean…

A: sample size(n)=53Mean(x)=424standard deviation(s)=83The null and alternative hypothesis…

Q: Calculate the mean for the given data set, 3,6,7,9,2,18,15,12,6,11

A: Answer: From the given data, 3,6,7,9,2,18,15,12,6,11 Sample size(n) = 10

Q: Which of the following is NOT a requirement for using the normal distribution as an approximation to…

A: When the sample size is quite big, the normal approximation is utilized. A normal random variable…

Q: b. Test for autocorrelation using the 0.05 significance level. (Negative amounts should be Indicated…

A: The data for the new car sales and the year.

Q: You may need to use the appropriate appendix table to answer this question. Given that z is a…

A: Given that z is a standard normal random variable, find z for each situation.

Q: 2) The manager of a fast food restaurant would like to know if their median service time is less…

A: Costumer Service Time 1 26 2 27 3 31 4 21 5 8 6 59 7 97 8 9 9 108 10 12 11…

Q: 2. A producer of outdoor clothing used a focus group to obtain information about the demand for…

A: Price (x) Demand (y) 100 23 90 31 80 40 70 44 60 48 50 60

Q: A binomial probability experiment is conducted with the given parameters. Use technology to find…

A: Given that n=8 p=0.6 P(X<4)=?

Q: You are given the sample mean and the po and 95% confidence intervals for the population mean.…

A: Sample size n =35 Sample mean=131 Population standard deviation =15.50

Question

You are conducting a study to see if the proportion of women over 40 who regularly have mammograms is significantly less than 0.66. You use a significance level of a=0.001.

H0:P=0.66
H1:P<0.66

You obtain a sample of size 176 in which there are 99 successes.

What is the test statistic for this sample? (Report answer accurate to 3 decimal places.)

What is the p-value for this sample? (Report answer accurate to 4 decimal places.)

This test statistic leads to a decision to

reject the null
accept the null
fail to reject the null

As such, the final conclusion is that

there is sufficient evidence to conclude that the proportion of women over 40 who regularly have mammograms is less than 0.66.
there is not sufficient evidence to conclude that the proportion of women over 40 who regularly have mammograms is less than 0.66.
there is sufficient evidence to conclude that the proportion of women over 40 who regularly have mammograms is equal to 0.66.
there is not sufficient evidence to conclude that the proportion of women over 40 who regularly have mammograms is equal to 0.66.

Expert Solution