Question

# Identify the null and alternative hypothesis(in symbolic and sentence form), test statistic, P-value(or critical values), conclusion...

Identify the null and alternative hypothesis(in symbolic and sentence form), test statistic, P-value(or critical values), conclusion about the null hypothesis, and final conclusion that addresses the original claim(Don’t just say Reject the null hypothesis or fail to reject the null hypothesis). If you used the calculator, identify everything mentioned above in addition to which calculator functions and inputs for each field were used.

According to a recent poll 53% of Americans would vote for the incumbent president. If a random sample of 100 people results in 45% who would vote for the incumbent, test the claim that the actual percentage is 53%. Use a 0.10 significance level.

The null and alternate hypothesis are:
H0:

Ha:

The test statistic is given by:

Since this is a two-tailed test, so the p-value is given by:

Since p-value is greater than 0.10, so we do not have sufficient evidence to reject the null hypothesis H0.

Thus we do not reject H0.

We can conclude that the actual percentage is 53%.

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