[Q1: Only answer if you ABSOLUTELY know how to solve AND the answers match up ((

Question

[Q1: Only answer if you ABSOLUTELY know how to solve AND the answers match up ((tired of getting wrong replies.) So, please make sure you’re really certain. [It’s appreciated.])

Really Explain EACH STEP, including any formulas you used (& how to use the formula), and explain how to compute with a TI-84 preferably/when possible.]

NO JUST POSTING THE ANSWER WITH NO EXPLANATION/ NO CONVINCING EXPLANATION, I WILL ASSUME IT'S WRONG, AS HAS BEEN THE CASE BEFORE. IF YOU'RE THIS TYPE, MOVE ON.

You hear on the local news that for the city of Kalamazoo, the proportion of people who support President Obama is 0.64. However, you think it is greater than 0.64. The hypotheses you want to test are Null Hypothesis: p 0.64, Alternative Hypothesis: p > 0.64. You take a random sample around town and calculate a p-value for your hypothesis test of 0.5941. What is the appropriate conclusion? Conclude at the 5% level of significance.

Question 1 options:

1)

The proportion of people who support President Obama is significantly larger than 0.64.

2)

We did not find enough evidence to say the proportion of people who support President Obama is larger than 0.64.

3)

The proportion of people who support President Obama is less than or equal to 0.64.

4)

We did not find enough evidence to say a significant difference exists between the proportion of people who support President Obama and 0.64

5)

We did not find enough evidence to say the proportion of people who support President Obama is less than 0.64.

1)

The proportion of people who support President Obama is significantly larger than 0.64.

2)

We did not find enough evidence to say the proportion of people who support President Obama is larger than 0.64.

3)

The proportion of people who support President Obama is less than or equal to 0.64.

4)

We did not find enough evidence to say a significant difference exists between the proportion of people who support President Obama and 0.64

5)

We did not find enough evidence to say the proportion of people who support President Obama is less than 0.64.

Explanation / Answer

The option (2) is correct :

Explanation: Given the local news that for the city of Kalamazoo, the proportion of people who support President Obama is 0.64. However, it is thought that the proportion is greater than 0.64.

The hypotheses we want to test : Null Hypothesis H0: p 0.64 vs Alternative Hypothesis H1: p > 0.64,  where, p is the proportion of people who support President Obama.

A random sample around town is taken and p-value that is calculated for our hypothesis test is 0.5941.

We consider the leve of significance as alpha = 5% = 0.05.

Decision: We know that if the p-value is greater than the level of signifcance, we reject H0 at that level of significance and if the p-value is lesser than the level of signifcance, we accept H0.

Here in the above problem clearly, 0.5941 is greater than 0.05, that is the p-value for our test is greater than the level of significance, ie, p-value = 0.5941 > 0.05 = alpha.

CONCLUSION: Since, the p-value is greater than the level of significance, we accept H0 at 5% level of significance and conclude on the basis of the given data that there is not much evidence to say that the proportion of people who support President Obama is larger than 0.64, thus option (2) is correct.

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