Consider a multinomial experiment with n=320 and k=4. The null hypothesis to be tested is Hg: P1 = P2 P3 P4 = 0.25. The observed frequencies resulting from the experiment are: (You may find it useful to reference the appropriate table: chi-square to or F table) Category Frequency 1 4 88 53 90 89 a. Choose the appropriate alternative hypothesis. O Not all population proportions are equal to 0.25. O All population proportions differ from 0.25. b-1. 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

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Consider a multinomial experiment with n=320 and k=4. The null hypothesis to be tested is Hg: P1 = P2 P3 P4 = 0.25. The
observed frequencies resulting from the experiment are: (You may find it useful to reference the appropriate table: chi-square ta
or E table)
Category
Frequency
4
88
53
90
89
a. Choose the appropriate alternative hypothesis.
O Not all population proportions are equal to 0.25.
O All population proportions differ from 0.25.
b-1. 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
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Transcribed Image Text:Consider a multinomial experiment with n=320 and k=4. The null hypothesis to be tested is Hg: P1 = P2 P3 P4 = 0.25. The observed frequencies resulting from the experiment are: (You may find it useful to reference the appropriate table: chi-square ta or E table) Category Frequency 4 88 53 90 89 a. Choose the appropriate alternative hypothesis. O Not all population proportions are equal to 0.25. O All population proportions differ from 0.25. b-1. 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 < Prev. Next > 4 of 10 a ere to search
b-2. Find the p-value.
O 0.025 B p-value < 0.05
O p-value <0.01
O 0.015 p-value <0.025
p-value 0.10
O 0.05 p-value <0.10
c. At the 10% significance level, what is the conclusion to the hypothesis test?
O Reject Hg since the p-value is greater than the significance level.
O Do not reject Hg since the p-value is greater than the significance level.
O Reject Hg since the p-value is less than the significance level.
O Do not reject H, since the p-value is less than the significance level.
rev: 06 10 2019 QC_CS-170121, 07 23 2020 QC CS-220209
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Transcribed Image Text:b-2. Find the p-value. O 0.025 B p-value < 0.05 O p-value <0.01 O 0.015 p-value <0.025 p-value 0.10 O 0.05 p-value <0.10 c. At the 10% significance level, what is the conclusion to the hypothesis test? O Reject Hg since the p-value is greater than the significance level. O Do not reject Hg since the p-value is greater than the significance level. O Reject Hg since the p-value is less than the significance level. O Do not reject H, since the p-value is less than the significance level. rev: 06 10 2019 QC_CS-170121, 07 23 2020 QC CS-220209 Prev 4 of 10 Next - search
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