In a Leichtman Research Group survey of 850 TV households, 75.1% of them had at least one Internet-connected TV device (for example, Smart TV, standalone streaming device, connected video game console). A marketing executive wants to convey high penetration of Internet-connected TV devices, so he makes the claim that the percentage of all homes with at least one Internet-connected TV device is equal to 78%. Test that claim using a 0.01 significance level. Use the P-value method. Use the normal distribution as an approximation to the binomial distribution. Let p denote the population proportion of all homes with at least one Internet-connected TV device. Identify the null and alternative hypotheses. Ho: P H₁: p ▼ (Type integers or decimals. Do not round.) Identify the test statistic. Z= (Round to two decimal places as needed.) Identify the P-value. P-value= (Round to three decimal places as needed.) State the conclusion about the null hypothesis, as well as the final conclusion that addresses the original claim. sufficient evidence to the null hypothesis. There one Internet-connected TV device is equal to 78%. the claim that the percentage of all homes with at least

A 2018 Gallup poll found 20% of adults aged 18 - 29 years vape. Test the claim that the proportion of 18 - 29 year old people who vape has decreased at the 5% significance level. A July 2021 Gallup poll resulted in 17% of the 1,007 of people that age vape.

A study was conducted to determine the proportion of people who dream in black and white instead of color. Among 294 people over the age of 55, 63 dream in black and white, and among 300 people under the age of 25, 19 dream in black and white. Use a 0.05 significance level to test the claim that the proportion of people over 55 who dream in black and white is greater than the proportion for those under 25. Complete parts (a) through (c) below. a. Test the claim using a hypothesis test. Consider the first sample to be the sample of people over the age of 55 and the second sample to be the sample of people under the age of 25. What are the null and alternative hypotheses for the hypothesis test? A. Ho: P₁ = P2 H₁: P₁ P2 D. Ho: P₁ P2 H₁: P₁ P2 OB. Ho: P1 P2 H₁: P₁ P2 O E. Ho: P1 H₁: P₁ P2 P2 O C. Ho: P₁ P2 H₁: P₁ = P2 OF. Ho: P₁ P2 H₁: P₁ P2

A credit score is used by credit agencies (such as mortgage companies and banks) to assess the creditworthiness of individuals. Values range from 300 to 850, with a credit score over 700 considered to be a quality credit risk. According to a survey, the mean credit score is 705.8. A credit analyst wondered whether high-income individuals (incomes in excess of $100,000 per year) had higher credit scores. He obtained a random sample of 37 high-income individuals and found the sample mean credit score to be 721.3 with a standard deviation of 81.9. Conduct the appropriate test to determine if high-income individuals have higher credit scores at the a = 0.05 level of significance. State the null and alternative hypotheses. Họ: H H1: H (Type integers or decimals. Do not round.)

In a Leichtman Research Group survey of 1050 TV households, 75.1% of them had at least one Internet-connected TV device (for example, Smart TV, standalone streaming device, connected video game console). A marketing executive wants to convey high penetration of Internet-connected TV devices, so he makes the claim that the percentage of all homes with at least one Internet-connected TV device is equal to 78%. Test that claim using a 0.01 significance level. Use the P-value method. Use the normal distribution as an approximation to the binomial distribution. Let p denote the population proportion of all homes with at least one Internet-connected TV device. Identify the null and alternative hypotheses. Ho: p H1: p (Type integers or decimals. Do not round.) es Identify the test statistic. Z= Cools (Round to two decimal places as needed.) Identify the P-value. P-value = (Round to three decimal places as needed.) State the conclusion about the null hypothesis, as well as the final conclusion…

A company claims that less than 30% of people who both work and live in Newcastle. A study revealed that among a random sample of 200 people working in Newcastle, 62 also lived in Newcastle. Does the sample support the company’s claim? Use a level of significance of 0.01.

A study was conducted to explore the possibility of a audiobook treatment effect on sleep quality (better, worse). One version of the study involved 32 uber drivers. The uber drivers were given the option to choose which group they were in. One group listened to an audiobook while they slept, while the other group did not. The researchers found a difference of 21.9 percentage points between the proportion of uber drivers in each group who experienced better sleep quality. The group that listened to an audiobook had the higher proportion. The tail proportion from a randomisation test carried out with the data from the study was 1/1000.