A multinomial experiment produced the following results: (You may find it useful to reference the appropriate table: chi-square table or F table) Category Frequency 2 3 4 5 70 42 72 64 62 a. Choose the appropriate alternative hypothesis to test if the population proportions differ. O All population proportions differ from 0.20. O Not all population proportions are equal to 0.20. b. Calculate the value of the test statistic. (Round intermediate calculations to at least 4 decimal places and final answer to 3 decimal places.) Test statistic c. Find the p-value. O 0.05 s p-value < 0.10 O 0.025 s p-value < 0.05 O 0.01 s p-value < 0.025 O p-value < 0.01 O p-value 2 0.1o d. Can we conclude at the 10% significance level that the population proportions are not equal? O No, since the p-value is less than the significance level. O Yes, since the p-value is less than the significance level. O No, since the p-value is more than the significance level.

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A multinomial experiment produced the following results: (You may find it useful to reference the appropriate table: chi-square table
or F table)
Category
Frequency
2
3
4
5
70
42
72
64
62
a. Choose the appropriate alternative hypothesis to test if the population proportions differ.
O All population proportions differ from 0.20.
O Not all population proportions are equal to 0.20.
b. Calculate the value of the test statistic. (Round intermediate calculations to at least 4 decimal places and final answer to 3
decimal places.)
Test statistic
c. Find the p-value.
O 0.05 s p-value < 0.10
O 0.025 s p-value < 0.05
O 0.01 s p-value < 0.025
O p-value < 0.01
O p-value 2 0.10
d. Can we conclude at the 10% significance level that the population proportions are not equal?
O No, since the p-value is less than the significance level.
Yes, since the p-value is less than the significance level.
O No, since the p-value is more than the significance level.
Transcribed Image Text:A multinomial experiment produced the following results: (You may find it useful to reference the appropriate table: chi-square table or F table) Category Frequency 2 3 4 5 70 42 72 64 62 a. Choose the appropriate alternative hypothesis to test if the population proportions differ. O All population proportions differ from 0.20. O Not all population proportions are equal to 0.20. b. Calculate the value of the test statistic. (Round intermediate calculations to at least 4 decimal places and final answer to 3 decimal places.) Test statistic c. Find the p-value. O 0.05 s p-value < 0.10 O 0.025 s p-value < 0.05 O 0.01 s p-value < 0.025 O p-value < 0.01 O p-value 2 0.10 d. Can we conclude at the 10% significance level that the population proportions are not equal? O No, since the p-value is less than the significance level. Yes, since the p-value is less than the significance level. O No, since the p-value is more than the significance level.
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