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A fruit seller claims that customers who purchases lemons are more likely to purchase limes. To test their claim, they tally up the number of customers who purchase these two fruits in a given day. The observed frequencies are given in the 2 x 2 contingency table below. bought lemons did not buy lemons totals 29.867 35.98 38.043 Complete the table of expected frequencies assuming the null hypothesis that buying lemons and buying limes are independent. bought limes did not buy limes totals 27 56 15 34 42 90 bought lemons (expected) did not buy lemons (expected) 21.776 26.133 32.641 29 19 48 (a) Find the expected frequency of customers who bought lemons and limes. O 8.791 bought limes (expected) did not buy limes (expected) (a) (b) (d) (c) (b) Find the expected frequency of customers who bought lemons but not limes. 4.822 (c) Find the expected frequency of customers who bought limes but not lemons. O 16.218 18.133 24.773 43.393

A fruit seller claims that customers who purchases lemons are more likely to purchase limes. To test their claim, they tally up the number of customers who purchase these two fruits in a given day. The observed frequencies are given in the 2 x 2 contingency table below. bought lemons did not buy lemons totals 29.867 35.98 38.043 Complete the table of expected frequencies assuming the null hypothesis that buying lemons and buying limes are independent. bought limes did not buy limes totals 27 56 15 34 42 90 bought lemons (expected) did not buy lemons (expected) 21.776 26.133 32.641 29 19 48 (a) Find the expected frequency of customers who bought lemons and limes. O 8.791 bought limes (expected) did not buy limes (expected) (a) (b) (d) (c) (b) Find the expected frequency of customers who bought lemons but not limes. 4.822 (c) Find the expected frequency of customers who bought limes but not lemons. O 16.218 18.133 24.773 43.393

Holt Mcdougal Larson Pre-algebra: Student Edition 2012
Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter11: Data Analysis And Probability
Section: Chapter Questions
Problem 8CR
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A fruit seller claims that customers who purchases lemons are more likely to purchase limes. To test their claim, they tally up the number of customers who purchase these two fruits in a given day. The observed frequencies are given in the 2 x 2 contingency table below. 29.867 35.98 38.043 Complete the table of expected frequencies assuming the null hypothesis that buying lemons and buying limes are independent. bought lemons did not buy lemons totals 18.133 24.773 43.393 bought limes did not buy limes totals 27 56 15 34 42 90 bought lemons (expected) did not buy lemons (expected) 29 19 48 (a) Find the expected frequency of customers who bought lemons and limes. 8.791 bought limes (expected) did not buy limes (expected) (b) (d) (b) Find the expected frequency of customers who bought lemons but not limes. 4.822 21.776 26.133 32.641 1 2 (3 3 4 (a) (c) (c) Find the expected frequency of customers who bought limes but not lemons. 16.218 3.841 13.419 13.555 16.019 (d) Find the expected frequency of customers who bought neither lemons nor limes. O 6.14 15.867 20.413 O24.775 (e) Determine the test statistic for a x² test of independence. 0.143 1.891 2.699 7.442 (f) Determine the degrees of freedom used when performing a x² test of independence. (g) Determine the critical value to use when performing a X² test of independence with significance level a = 0.05. (h) Determine whether there is sufficient data to reject the null hypothesis and conclude that there is a dependent relationship between purchasing lemons and limes at the a= 0.05 significance level. Yes
Transcribed Image Text:A fruit seller claims that customers who purchases lemons are more likely to purchase limes. To test their claim, they tally up the number of customers who purchase these two fruits in a given day. The observed frequencies are given in the 2 x 2 contingency table below. 29.867 35.98 38.043 Complete the table of expected frequencies assuming the null hypothesis that buying lemons and buying limes are independent. bought lemons did not buy lemons totals 18.133 24.773 43.393 bought limes did not buy limes totals 27 56 15 34 42 90 bought lemons (expected) did not buy lemons (expected) 29 19 48 (a) Find the expected frequency of customers who bought lemons and limes. 8.791 bought limes (expected) did not buy limes (expected) (b) (d) (b) Find the expected frequency of customers who bought lemons but not limes. 4.822 21.776 26.133 32.641 1 2 (3 3 4 (a) (c) (c) Find the expected frequency of customers who bought limes but not lemons. 16.218 3.841 13.419 13.555 16.019 (d) Find the expected frequency of customers who bought neither lemons nor limes. O 6.14 15.867 20.413 O24.775 (e) Determine the test statistic for a x² test of independence. 0.143 1.891 2.699 7.442 (f) Determine the degrees of freedom used when performing a x² test of independence. (g) Determine the critical value to use when performing a X² test of independence with significance level a = 0.05. (h) Determine whether there is sufficient data to reject the null hypothesis and conclude that there is a dependent relationship between purchasing lemons and limes at the a= 0.05 significance level. Yes
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