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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