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The owner of a small deli is trying to decide whether to discontinue selling magazines. He suspects that only 10.5% of his customers buy a magazine and he thinks that he might be able to use the display space to sell something more profitable. Before making a final decision, he decides that for one day he will keep track of the number of customers that buy a magazine.
(a) Explain why this is a binomial experiment. ____________________
(b) Assuming his suspicion that 10.5% of his customers buy a magazine is correct, what is the
(c) What is the expected number of customers from this sample that will buy a magazine?____________
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- In a fishing lodge brochure, the lodge advertises that 75% of its guests catch northern pike over 20 pounds. Suppose that last summer 71 out of a random sample of 86 guests did, in fact, catch northern pike weighing over 20 pounds. Does this indicate that the population proportion of guests who catch pike over 20 pounds is different from 75% (either higher or lower)? Use ? = 0.05. (a) What is the level of significance? State the null and alternate hypotheses. H0: p = 0.75; H1: p > 0.75H0: p ≠ 0.75; H1: p = 0.75 H0: p < 0.75; H1: p = 0.75H0: p = 0.75; H1: p ≠ 0.75H0: p = 0.75; H1: p < 0.75 (b) What sampling distribution will you use? The Student's t, since np > 5 and nq > 5.The standard normal, since np > 5 and nq > 5. The Student's t, since np < 5 and nq < 5.The standard normal, since np < 5 and nq < 5. What is the value of the sample test statistic? (Round your answer to two decimal places.) (c) Find the P-value of the test…arrow_forwardNeed someone to double check my work.arrow_forwardIn 1973, only 8% of the students in the city school district were classified as being learning disabled. A school psychologist suspects that the proportion of learning-disabled children has increased dramatically over the years. To demonstrate this point, a random sample of n = 13 students is selected. In this sample there are 3 students who have been identified as learning-disabled. You will use this information to determine if the sample indicates a change in the proportion of learning-disabled students at a 0.02 level of significance. Part 1: What is the hypothesized (assumed constant) population proportion for this test? p = (Report answer as a decimal accurate to 2 decimal places. Do not report using the percent symbol.) Based on the researcher's understanding of the situation, how many tails would this hypothesis test have? O one-tailed test two-tailed testarrow_forward
- Solve second onearrow_forwardThe owner of a small deli is trying to decide whether to discontinue selling magazines. He suspects that only 9.6% of his customers buy a magazine and he thinks that he might be able to use the display space to sell something more profitable. Before making a final decision, he decides that for one day he will keep track of the number of customers that buy a magazine. (a) Explain why this is a binomial experiment. _____________________________________(b) Assuming his suspicion that 9.6% of his customers buy a magazine is correct, what is the probability that exactly 5 out of the first 13 customers buy a magazine? Give your answer as a decimal number rounded to two digits. ____________________(c) What is the expected number of customers from this sample that will buy a magazine? ________________________________arrow_forwardThe owner of a small deli is trying to decide whether to discontinue selling magazines. He that only 10.9% of his customers buy a magazine and he thinks that he might be able to use the display space to sell something more profitable. Before making a final decision, he decides that for one day he will keep track of the number of customers that buy a magazine. suspects (a) Explain why this is a binomial experiment. (b) Assuming his suspicion that 10.9% of his customers buy a magazine is correct, what is the probability that exactly 2 out of the first 13 customers buy a magazine? Give your answer as a decimal number rounded to two digits. (c) What is the expected number of customers from this sample that will buy a magazine?arrow_forward
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