The proportion of all US adults who eat popcorn when they go to the movie theater is p is equal to 0 point 8 7 A random sample of 20 US adults was selected and asked if they eat popcorn when they go to the movie theater. Which of the following is the shape of the sampling distribution of hat p ?
A teacher has a large container of blue, red, and green beads. She reports to the students that the proportion of blue beads in the container is 0 point 3 0 The students feel the proportion of blue beads is lower than 0 point 3 0 A student randomly selects 60 beads and finds that 12 of the beads are blue. The cap p -value for the test of the hypotheses, ratio of cap h sub 0 to p is equal to 0 point 3 0 and ratio of cap h sub A to p is less than 0 point 3 0 , is 0 point 0 4 5 What is the correct interpretation of this value?
At a large company retreat, management orders subs for lunch. They hypothesize that 50 percent of the attendees will choose a turkey sub, 40 percent will choose a ham sub, and 10 percent will choose a vegetarian sub. Before placing the order, they select a random sample of 50 attendees and determine the type of sub they prefer. The management would like to know if there is convincing evidence that the distribution of sub preference differs from 50 percent turkey, 40 percent ham, and 10 percent vegetarian. What are the appropriate hypotheses?
A statistics class weighed 20 bags of grapes purchased from the store. The bags are advertised to contain 16 ounces, on average. The class calculated the 90 percent confidence interval for the true mean weight of bags of grapes from this store to be open paren 15 point 8 7 5 comma 16 point 5 9 5 close paren ounces. What is the sample mean weight of grapes, and what is the margin of error?
A nontraditional deck of cards has 30 total cards: 5 hearts, 10 clubs, 8 spades, and 7 diamonds. The cards are shuffled, and the top card is noted. This process is repeated 100 times. What is the probability the top card is spades in more than 30 percent of the sample? Use the z -table.
A 95 percent confidence interval for the true proportion of teenagers who have been to a professional sporting event is open paren 0 point 2 8 9 comma 0 point 4 1 6 close paren Is it reasonable to believe that more than 25 percent of teenagers have been to a professional sporting event?
The agent tests ratio of cap h sub 0 to mu sub 1 minus mu sub 2 is equal to 0 , ratio of cap h sub A to mu sub 1 minus mu sub 2 is less than 0 , where mu sub 1 is equal to the true mean selling price of all comparable empty homes and mu sub 2 is equal to the true mean selling price of all comparable staged homes. The conditions for inference are met. What are the values of the test statistic and cap p -value for a t - test about a difference in means? Use the t -table.
The mean of the differences is 193 points, and the standard deviation of the differences is 62 point 7 3 points. The conditions for inference are met. A 98 percent confidence interval for the mean difference (after – before) in score is 137 point 0 4 points to 248 point 9 6 points. What is the correct interpretation of this interval?
The chi-square test statistic is chi squared is equal to 12 point 7 1 and the cap p -value is between 0 point 0 0 1 and 0 point 0 0 2 What conclusion should the public relations department make? Use alpha is equal to 0 point 0 5
Which of the following is the correct interpretation of cap p times open paren cap x is less than or equal to 3 close paren ?
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