Question

Problem 1: Adults saving for retirement In a recent survey conducted by Pew Research, it was found that 156 of 295 adult Americans without a high school diploma were worried about having enough saved for retirement. Does the sample evidence suggest that a majority of adult Americans without a high school diploma are worried about having enough saved for retirement? Use a 0.05 level of significance. 1. State the null and alternative hypothesis. 2. What type of hypothesis test is to be used? 3. What distribution should be used and why? 4. Is this a right, left, or two-tailed test? 5. Compute the test statistic. 6. Compute the p-value. 7. Do you reject or not reject the null hypothesis? Explain why. 8. What do you conclude?

Problem 2: Google Stock Google became a publicly traded company in August 2004. Initially, the stock traded over 10 million shares each day! Since the initial offering, the volume of stock traded daily has decreased substantially. In 2010, the mean daily volume in Google stock was 5.44 million shares, according to Yahoo!Finance. A random sample of 35 trading days in 2014 resulted in a sample mean of 3.28 million shares with a standard deviation of 1.68 million shares. Does the evidence suggest that the volume of Google stock has changed since 2007? Use a 0.05 level of significance. 1. State the null and alternative hypothesis. 2. What type of hypothesis test is to be used? 3. What distribution should be used and why? 4. Is this a right, left, or two-tailed test? 5. Compute the test statistic. 6. Compute the p-value. 7. Do you reject or not reject the null hypothesis? Explain why. 8. What do you conclude?

Answer 1

Answer:-

Given That:-

Problem 1: Adults saving for retirement
In a recent survey conducted by Pew Research, it was found that 156 of 295 adult Americans without a high school diploma were worried about having enough saved for retirement. Does the sample evidence suggest that a majority of adult Americans without a high school diploma are worried about having enough saved for retirement? Use a 0.05 level of significance.

Given,

Below are the null and alternative Hypothesis,
Null Hypothesis, H0: p = 0.5
Alternative Hypothesis, Ha: p > 0.5

single proportion z test

This is right tailed test,

Test statistic,


z = 0.989

P-value Approach
P-value = 0.1613
As P-value 0.05,

fail to reject null hypothesis.

There is not sufficient evidence to conclude that a majority of adult Americans without a high school diploma are worried about having enough saved for retirement

Problem 2: Google Stock
Google became a publicly traded company in August 2004. Initially, the stock traded over 10 million shares each day! Since the initial offering, the volume of stock traded daily has decreased substantially. In 2010, the mean daily volume in Google stock was 5.44 million shares, according to Yahoo!Finance. A random sample of 35 trading days in 2014 resulted in a sample mean of 3.28 million shares with a standard deviation of 1.68 million shares. Does the evidence suggest that the volume of Google stock has changed since 2007? Use a 0.05 level of significance.

Below are the null and alternative Hypothesis,
Null Hypothesis, H0: μ = 5.44
Alternative Hypothesis, Ha: μ ≠ 5.44

This is single mean t test

This is two tailed test,

Test statistic,


t = -7.606

P-value Approach
P-value = 0
As P-value < 0.05, reject the null hypothesis.

There is sufficient evidence to the evidence suggest that the volume of Google stock has changed since 2007

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