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After a two-month stay-home order, a poll evaluating support for “multi-stage reopening” in California randomly selected...

After a two-month stay-home order, a poll evaluating support for “multi-stage reopening” in California randomly selected 268 California residents and reported a 60% supportive rate. Carry out a hypothesis test with 5% significance level to check whether a majority of California residents are supportive of the multi-stage reopening.

a. Write the hypothesis in symbols or words

b. Check the two conditions for CLT.

c. Calculate the test statistics

d. Use the p-value or critical value approach to make your conclusion at 5% significance level.

one tail (upper)

0.1

0.05

0.025

0.01

0.005

two tails

0.2

0.1

0.05

0.02

0.01

z value

1.28

1.645

1.96

2.32

2.58

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