Below are three different hypothesis tests about population proportions. For each test, use StatKey and the information given to calculate the appropriate p-value and make the correct conclusion.

(1) H0: p = 0.3 vs Ha: p ? 0.3. In their survey, they had a count of 38 using a sample size n=100.

1.a) What is p-hat for this sample?
Using StatKey, generate a randomization distribution using at least 4000 samples. Remember to select Edit Data to input sample information, and to edit the null hypothesis.
1.b) What is the p-value using this randomization distribution?
1.c) At a significance level of 0.05, what is the conclusion for this hypothesis test?

(2) H0: p = 0.7 vs Ha: p ? 0.7. In their survey, they had a count of 320 using a sample size n=500.

2.a) What is p-hat for this sample?
Using StatKey, generate a randomization distribution using at least 4000 samples. Remember to select Edit Data to input sample information, and to edit the null hypothesis.
2.b) What is the p-value using this randomization distribution?
2.c) At a significance level of 0.05, what is the conclusion for this hypothesis test?

(3) H0: p = 0.6 vs Ha: p < 0.6. In their survey, they had a count of 110 using a sample size n=200.

3.a) What is p-hat for this sample?
Using StatKey, generate a randomization distribution using at least 4000 samples. Remember to select Edit Data to input sample information, and to edit the null hypothesis.
3.b) What is the p-value using this randomization distribution?
3.c) At a significance level of 0.05, what is the conclusion for this hypothesis test?