7.40 Metal Tags on Penguins (Graded for Completeness) In Exercise 6.178 on page 403 we perform a test for the difference in the proportion of penguins who survive over a 10-year period, between penguins tagged with metal tags and those tagged with electronic tags. We are inter- ested in testing whether the type of tag has an effect on penguin survival rate, this time using a chi-square test. In the study, 33 of the 167 metal-tagged penguins survived while 68 of the 189 electronic-tagged penguins survived. (a) Create a two-way table from the information given. (b) State the null and alternative hypotheses. (c) Give a table with the expected counts for each of the four categories. (d) Calculate the chi-square test statistic. (e) Determine the p-value and state the conclusion.

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7.40 Metal Tags on Penguins (Graded for Completeness) In Exercise 6.178 on page 403 we
perform a test for the difference in the proportion of penguins who survive over a 10-year period,
between penguins tagged with metal tags and those tagged with electronic tags. We are inter-
ested in testing whether the type of tag has an effect on penguin survival rate, this time using a
chi-square test. In the study, 33 of the 167 metal-tagged penguins survived while 68 of the 189
electronic-tagged penguins survived.
(a) Create a two-way table from the information given.
(b) State the null and alternative hypotheses.
(c) Give a table with the expected counts for each of the four categories.
(d) Calculate the chi-square test statistic.
(e) Determine the p-value and state the conclusion.
Transcribed Image Text:7.40 Metal Tags on Penguins (Graded for Completeness) In Exercise 6.178 on page 403 we perform a test for the difference in the proportion of penguins who survive over a 10-year period, between penguins tagged with metal tags and those tagged with electronic tags. We are inter- ested in testing whether the type of tag has an effect on penguin survival rate, this time using a chi-square test. In the study, 33 of the 167 metal-tagged penguins survived while 68 of the 189 electronic-tagged penguins survived. (a) Create a two-way table from the information given. (b) State the null and alternative hypotheses. (c) Give a table with the expected counts for each of the four categories. (d) Calculate the chi-square test statistic. (e) Determine the p-value and state the conclusion.
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