IV. (20%) Suppose, in a poll of 910 adults, 503 respondents reported that they were optimistic about the national outlook. The Press Secretary claims that this poll indicates that the majority of adults are optimistic about the nation's outlook. Conduct a hypothesis test using the p-value approach and use α = 0.05 for the level of significance to test the Press Secretary's statement.

VI. (20%) A financial adviser wants to compare the mutual fund performance between two countries. 30 mutual funds from each country were randomly selected and the annual return for the funds were collected for the analysis. The descriptive statistics of the two samples are shown below: Conduct a hypothesis test to test whether the mutual funds from Country A have a higher annual return than the mutual funds from Country B. At the 0.05 level of significance, what is your conclusion? You may use reasonable approximations in your calculation.

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