The average number of lunches served daily at a school cafeteria last year was 300. The menu has been changed this year to healthier foods. The administration wants to test, at the 5 percent level of significance, the hypothesis that the mean number of lunches sold daily this year is more than 300. A sample of 5 days yielded the following number of lunches sold: 312 294 301 295 306  Write down the null and alternative hypotheses. Give the rejection region. Calculate the observed test statistic. Give the decision and the final conclusion. What is the corresponding p-value?

Q: A television executive claims that the percent of households that watch the Macy's parade on…

A: The null and alternative hypothesis is given by,H0:P=0.65Ha:P<0.65 Given: n=171, x=households…

Q: Is the proportion of wildfires caused by humans in the south lower than the proportion of wildfires…

A: As per our guidelines we are supposed to answer only 3 sub-parts of any questions so i am solving…

Q: In a random sample of males, it was found that 25 write with their left hands and 225 do not. In a…

A: Given that In a random sample of males, it was found that 25 write with their left hands and 225 do…

Q: The sales rep of a waterbed claims that 25% of the Filipino died because of cardiovascular diseases.…

A:

Q: Suppose IQ scores were obtained for 20 randomly selected sets of couples. The 20 pairs of…

A: n = 20 x¯ = 101.52y¯ = 101.1r = 0.850p value = 0.000regression equation : y^ = 8.69+0.91xfor x = 90…

Q: It has been reported that 60% of U.S. school lunches served are free or at a reduced price. A…

A: State the Hypotheses•  Null Hypothesis (H0): The proportion of students receiving free or…

Q: Suppose IQ scores were obtained for 20 randomly selected sets of twins. The 20 pairs of…

A: The given linear regression equation is, Here, slope = 0.96 Intercept = 4.86

Q: shorter than 60 hours

A: For the given data : sample size, n = 10 sample mean, x̄ = 59.5 sample standard…

Q: Is the proportion of wildfires caused by humans in the south higher than the proportion of wildfires…

A: a. Denote p1, p2 as the true population proportions of wildfires caused by human in south and west,…

Q: Suppose IQ scores were obtained for 20 randomly selected sets of couples. The 20 pairs of…

A: The provided regression line is: y⏞=26.39+0.76x

Q: Do cars get better gas mileage on the highway? The table shows the mileage per gallon of cars on…

A: Given that, Sample size n=8 The difference between two paired samples is calculated using formula…

Q: Thirty GPAs from a randomly selected sample of statistics students at a college are linked below.…

A: The technician in charge of records claimed that the population mean GPA for the whole college is…

Q: Suppose a researcher wants to estimate the population proportion of defective light bulbs. He took a…

A:

Q: Using a test statistic and critical value. What is the correct decision for this test

A: Given that Sample size n = 250 Number of adults who never have been married, X = 97 Level of…

Q: The television station ABC wants to determine whether men and women watch the same amount of…

A: Given Information: Claim: men and women watch the same amount of television on average per day. The…

Q: Samantha found that the national average for all students who feel that taking “stats” with Prof.…

A: Given: Sample size (n) = 81 Sample mean x¯ =78 Population variance σ2=25 Hypothesized mean μ=80…

Q: A television executive claims that the percent of households that watch the Macy's parade on…

A:

Q: 2. 10% of all college students volunteer their time. Is the percentage of college students who are…

A: As per our guidelines, we can solve only the first three subparts, Kindly repost the others for…

Q: Suppose IQ scores were obtained for 20 randomly selected sets of couples. The 20 pairs of…

A: Since the  ​P-value=​0.000, there is a linear relation between x and y.

Q: A manufacturer claims him market share is 60%.However a random sample of 500 clients show that only…

A: The objective of this question is to test the manufacturer's claim that his market share is 60%…

Q: The US Department of Energy reported that 47% of homes were heated by natural gas. A random sample…

A:

Q: Suppose IQ scores were obtained for 20 randomly selected sets of siblings. The 20 pairs of…

A: GivenRegression equation is y=11.54+0.9xr=0.919p-value=0.000

Q: A population has a mean of 50, SD of 30. We have a sample with a mean of -10, sample size is 9. Does…

A: Denote μ as the population mean.

Q: The z-statistic for the difference between the tvlo sample proportions is 5.266 with a P- value of…

A: Given, Z-statistics = 5.266 p-value = 0.00000014 α=0.05

Q: Do cars get better gas mileage on the highway? The table shows the mileage per gallon of cars on…

A: Given, the mileage per gallon of cars on city streets and the mileage per gallon of cars on the…

Q: IOF 20 Fandomly selected sets of siblings. The 20 pairs of measurements yield x = 98.55, y= 96.1,…

A: Given y = 1.09 +0.96x, where x represents the IQ score of the younger child. x= 102 Use a…

Q: Very large random samples of Catholics, Protestants, and people with no religious affiliation have…

A: Introduction: Statistical significance and practical significance are not one and the same thing.…

Q: Interpret the P-value.

A: here given , A store manager claims that 60% of shoppers who enter her store make a purchase. To…

Q: A manufacturer claims him market share is 60%. However a random sample of 500 clients show that only…

A: X=275, n=500, p=60%, level of signicance=1%

Q: 879, P-vaIue Suppose IQ scores were obtained for 20 randomly selected sets of couples. The 20 pairs…

A: For the best predicted value, first we will see whether the two variables (x and y) are…

Q: According to a survey conducted by the Association for Dressings and Sauces, 20% of American adults…

A: Given: A survey is conducted by the Association for Dressings and Sauces. Let n denote the sample…

Q: Suppose IQ scores were obtained for 20 randomly selected sets of couples. The 20 pairs of…

A: To find: The best predicted value of y-cap ??

Q: According to a certain government agency for a large country, the proportion of fatal traffic…

A:

Q: The manufacturer of a new eye cream claims that the cream reduces the appearance of fine lines and…

A:

Q: number of cavity t са

A:

Q: Past surveys showed that 44.2% of Filipino households have pets. A recent survey reported that 516…

A: Given: x = 512 n =1200 p= 44.2% = 0.442

Q: Suppose IQ scores were obtained for 20 randomly selected sets of couples. The 20 pairs of…

A: Given that the regression equation is, y^=-14.65+1.16x Here, x=IQ score of the wife

Q: Suppose IQ scores were obtained for 20 randomly selected sets of couples. The 20 pairs of…

A: In multiple linear regression, there will be more than one independent variable. In simple linear…

Q: arires Is the proportion of wildfires caused by humans in the south different from the proportion or…

A: Note: Since you have posted a question with multiple subparts, we will solve the first three…

Q: proportion of homes in Oregon that were heated by natural gas is different than what the DOE…

A: Given data number of success , x= 132 sample size, n =331 population proportion,p= 0.48…

Q: Make the decision rule. (Negative amount should be indicated by a minus sign. Round your answer to 2…

A: Given that Sample size n = 10000 Number of deaths due to lung cancer, X = 6 Level of significance =…

Q: A dietician wishes to see if a person’s cholesterol level will change if the diet is supplemented by…

A: Let μd denotes the mean difference (Before - After) between the cholesterol level. The test is that…

Q: Manufacturer A B Unacceptable 12 Acceptable в 8 88 92 95 89 D 11 Total 100 100 100 100

A: 1) The degree of freedom is (number of rows-1)×(number of columns-1)=(2-1)×(4-1)=3 The critical…

2-Proportion Test

In a 2-proportion test, two separate proportions are measured at the same time, and their similarity is evaluated. It is also known as a 2-proportion z-test, and a comparison of two different proportions is done in this method.