Then, answer the following five parts:
- Write down the null hypothesis.
- Write down the alternative hypothesis.
- Explain why you chose your hypotheses as such.
- Do a hypothesist test of your data at the α = 2% level of
significance for the population proportion by carrying out the
following five steps:
- View an example of how to use StatCrunch to compute the value
Zα
If it is a left-tailed test, what is the critical value,
-z0.02?
If it is a right-tailed test, what is the critical value,
z0.02?
If it is a two-tailed test, what are the two critical values,
±z0.01?
- Write down the test statistic, z0.
- Write down the P-value.
- Write down the sample size.
- Write down the sample proportion.
- Use the classical method to reach your conclusion on
whether or not to accept or reject the null hypothesis. Be sure to
explain how you reached your conclusion.
- Use the P-value to reach your conclusion on whether or
not to accept or reject the null hypothesis. Be sure to explain how
you reached your conclusion.
- Does the conclusion make sense to you? why or why not?
One sample proportion hypothesis test:
Outcomes in : How is the main dish typically cooked?
Success : Baked
p : Proportion of successes
H0 : p = 0.5
HA : p ≠ 0.5
Hypothesis test results:
Variable |
Count |
Total |
Sample Prop. |
Std. Err. |
Z-Stat |
P-value |
How is the main dish
typically cooked? |
481 |
974 |
0.49383984 |
0.016021033 |
-0.3845048 |
0.7006 |