Because of tourism in the state, it was proposed that public schools in Michigan begin after Labor Day. To determine whether support for this change was greater than 65%, a public poll was taken. Let p equal the pro- portion of Michigan adults who favor a post-Labor Day start. We shall test Ho: p = 0.65 against H₁: p > 0.65. (a) Define a test statistic and an α = 0.025 critical region. (b) Given that 414 out of a sample of 600 favor a post- Labor Day start, calculate the value of the test statis- tic. (c) Find the p-value and state your conclusion.

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Because of tourism in the state, it was proposed
that public schools in Michigan begin after Labor Day. To
determine whether support for this change was greater
than 65%, a public poll was taken. Let p equal the pro-
portion of Michigan adults who favor a post-Labor Day
start. We shall test Ho: p = 0.65 against H₁: p > 0.65.
(a) Define a test statistic and an α = 0.025 critical region.
(b) Given that 414 out of a sample of 600 favor a post-
Labor Day start, calculate the value of the test statis-
tic.
(c) Find the p-value and state your conclusion.
Transcribed Image Text:Because of tourism in the state, it was proposed that public schools in Michigan begin after Labor Day. To determine whether support for this change was greater than 65%, a public poll was taken. Let p equal the pro- portion of Michigan adults who favor a post-Labor Day start. We shall test Ho: p = 0.65 against H₁: p > 0.65. (a) Define a test statistic and an α = 0.025 critical region. (b) Given that 414 out of a sample of 600 favor a post- Labor Day start, calculate the value of the test statis- tic. (c) Find the p-value and state your conclusion.
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